Abstract group data - 40000.op

Formats: - HTML - YAML - JSON - 2025-11-05T06:50:08.609065

• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 40, 'aut_gen_orders': [20, 4, 4, 8, 8, 8, 20], 'aut_gens': [[1, 2, 8, 32, 320, 1600, 8000], [29121, 5375, 4917, 11033, 4608, 22400, 35200], [19329, 39250, 11352, 24224, 25280, 5056, 8320], [18577, 9734, 38620, 8416, 640, 4800, 16000], [5649, 37207, 2785, 27737, 27712, 11200, 30400], [4997, 1735, 8437, 16729, 32512, 36800, 17600], [18309, 18607, 26481, 6729, 13824, 12800, 22400], [12821, 35395, 31281, 12765, 20672, 35200, 22400]], 'aut_group': None, 'aut_hash': 3138043408883968139, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2560000, 'aut_permdeg': 400, 'aut_perms': [11432587472486239411999976871352273436155244319691722245738548710344396426716277086103649140388313146161371888625123619150785429945350125209564801749813626707067916310873159111417209447513995433448685264532763199985427760823348673984816541790146973372599725007567269989197557305855442091881925541107876478648675406676354087207158220045865579499903466085951871790651442952483187397018028882567507357715788639701128459441111765340830190782364736300198428333856018819234552373480682185732565816196756151955848212739757352871502449401965738441114807930489330001465081273124692285113494485654793349065988176871975530415541127959697041965893645731999831808001306286187642247280913813744313822379505302639030544407168337415308725624755448674540476363795993321182560878244916167718290901473532310148715773955765627377124208744184278459901318508645509278639411580151301502452061, 45614821435422121964266599360813705892828214754890048809141943247601675066623346257926446563133498770744343699537885026091772377005575899655352365060205453581253140504628463513532386310123897462214913510695025180242299512915384122685398163827600679019422295589386471342901620033468470491176991542859459473921521186282717529881363535334841589498930739610385390649965858856029326401203040021434174555802969122946058684504364869442265926006183535840782494903250379242750001336399747592820920194271708215664727256824487534364583519628557475030473408009422929627386796513517052501032401635074279553368094539801122627628015733882896365740210460942127071213151638533630353540694129959171394694683226078097864296783981916885315064698812726073192975787155717267625745549619813950128721228195482418400223800210540941685550003757554525620337605117118511353389168385513770664414778, 8452016693922981948176737674641929921719650237278495246516195803543944673341254012004093641556766465351016498093632154250145481657538178596575533215579204360372640757770740719768726099179382042821509510797938017863449372995389717107320949198466576726560063136698908088065104401900577420261025756527790213062499583436502863462817510113690754977179180539432564603861181582144132597976128154005580814306168751091557378040311700574317596917133980543154024434041555819913227146371810592683144328072547862314605631856928140134244621858158570501911864022675975691365160677595506773840964906634207832820029433344601816677140921761769349314486149186568714492856899360726010468955407731476755237721434705124407346001913174368583790171754635849117853585450522129078486552448207286449426857645675846924365619849442607923002803712828379943329820006781607654184802746878899296288641, 20248472346268475611261729150401359602251118603041166664407034459332879669712454514944474749853679382679213786291228807215776650882028045026066863958532690853055688355399304564412365526179028600412082335042722720062221108966504379069161116593488601956430972210341205538944587995762378683969905323784875078220532288519699191429909012658745328032968050971469484237029472615103432266921129290740479332541252664444477963202611028542375642464219111016265560938265996856521057736814632454900856431915351356537599122141872113634164809115063583123512128528579760581305641837319014637629315555293142187887033497336784366406413109100766786204382783325597032128579559557686262041025961457128546010389030594946334969830358161644370099284314514791772088508825144121542797137796277785424131823109296909564821710860935732693219315579042177796926113433549744757731127094559850498012655, 22616647256964852359241978079967351393689523400376675012631528562741103072489048692335759035649842794564304297245841364793745457683830826628870608673444151239809126109446639859521043046488437037859709097803446034921641921974761152441780171091531954144362722980847809636756890159255702645090205583047709853694123630766733055469513423420554887250106193288668428409031183242365948901665257086042369903100236557254990105519828778670567180120874670598236549410944403561515516204362908072108548831108953571597359688870120900679269984076036785068076963710600947107067494975914109864423106625370572688255360381875719083895600885968898913717580530217177555002333706921374305705951884726193262347613557055268294451299209894633058255129326860637125545104925251091053022261290845916643197618616409562333028446810941449841704164511464303034538244128718285011047812008786628399144819, 9239286222539753138212877054165143547158574191508833562340683184593675924936002810748186100630489968085180190162015804005685307708952673893188624936152642439556127293409873492030262835577577603901971862996160200946433670266736135039069197142581098623311682178047843442489276907679869511939220193427127091761234915906977998909417634623069378674615951380662573719585561530126867100510309035804094403529144270474381351031758244725304035322949545126726967181528525687765581131115122007988772700203240467188410402793370122193918038146798215446543169700825578821097591630761245586986309085829417908420566655049707726702300702357700296434770929060337549904240322102169137957805472104678148111561228788890683412244088980487211318087765317023217921936956809115520357477054617366365695793832630157159564297863427815821317344054328531220254348860817618602763115969510947645388706, 36483262337300984708239826649158454842989895718223782479048107334587786240765990252009096191560969775881525431919727884759586199122608454301204495650921007016123104814146705767304759996715612540356023733608198845460311277744097483223323210850859118275104018263996573882303942932957228850979451011794339796039440923568637908722620897150205896885914777551396586135702575537102661882526280393223781381148040242304691779553961274440862241416969552277699711862508872169838515011272437208425530584435354041079875135102331958506216941926328918368703535704599345561472527698706013862957163647815969379086638147353589828876065247714690093705773473262444572821265583929192798471127174087838145124601196353680858013414767743132606217874582890364503351450405953109595306587386535361742567131355199581177484052332359184750289821057054892846067559811451722280725165387776927521833565], 'aut_phi_ratio': 160.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 100, 2, 1], [2, 625, 1, 2], [4, 50, 4, 1], [4, 100, 1, 1], [4, 1250, 2, 2], [4, 1250, 4, 1], [4, 2500, 2, 1], [4, 2500, 4, 1], [5, 16, 1, 1], [5, 16, 2, 3], [5, 16, 4, 2], [5, 32, 4, 1], [5, 32, 8, 1], [10, 16, 1, 1], [10, 16, 2, 3], [10, 16, 4, 2], [10, 32, 4, 1], [10, 32, 8, 1], [10, 400, 4, 1], [10, 400, 8, 1], [20, 400, 2, 1], [20, 400, 4, 2], [20, 400, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_5^4.C_2.C_2^6.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '16.14', 'autcent_hash': 14, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 40, 'autcentquo_group': '160000.f', 'autcentquo_hash': 2514178499882166014, 'autcentquo_nilpotent': False, 'autcentquo_order': 160000, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_5^4:(C_4^3:C_2^2)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 100, 2], [2, 625, 2], [4, 50, 4], [4, 100, 1], [4, 1250, 8], [4, 2500, 6], [5, 16, 15], [5, 32, 12], [10, 16, 15], [10, 32, 12], [10, 400, 12], [20, 400, 18]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '20000.bq', 'commutator_count': 1, 'commutator_label': None, 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '5.1', '5.1', '5.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 380, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 100, 1, 2], [2, 625, 1, 2], [4, 50, 2, 2], [4, 100, 1, 1], [4, 1250, 1, 4], [4, 1250, 2, 2], [4, 2500, 1, 6], [5, 16, 1, 15], [5, 32, 2, 6], [10, 16, 1, 15], [10, 32, 2, 6], [10, 400, 1, 4], [10, 400, 2, 4], [20, 400, 2, 9]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 307617186240, 'exponent': 20, 'exponents_of_order': [6, 4], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [[16, 0, 18], [16, 1, 12], [32, 1, 12]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '20000.bq', 'hash': 5404774503301586381, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 20, 'inner_gen_orders': [10, 4, 4, 10, 5, 5, 5], 'inner_gens': [[1, 21270, 19724, 8228, 3456, 8000, 1600], [6741, 2, 21256, 23984, 6592, 24960, 6528], [36421, 28674, 8, 38944, 8960, 4800, 16000], [9541, 38418, 11016, 32, 1280, 1600, 32000], [5185, 2050, 32968, 672, 320, 1600, 8000], [33601, 18242, 4808, 32, 320, 1600, 8000], [14401, 9794, 32008, 16032, 320, 1600, 8000]], 'inner_hash': 1018278098672428047, 'inner_nilpotent': False, 'inner_order': 20000, 'inner_split': False, 'inner_tex': 'C_5^4:C_2.C_2^4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 16, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 16], [2, 8], [4, 1], [16, 60], [32, 24]], 'label': '40000.op', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': '(SO(3,7)*S4^2).C2^2', 'ngens': 10, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 34, 'number_characteristic_subgroups': 19, 'number_conjugacy_classes': 109, 'number_divisions': 80, 'number_normal_subgroups': 77, 'number_subgroup_autclasses': 675, 'number_subgroup_classes': 1848, 'number_subgroups': 336830, 'old_label': None, 'order': 40000, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 1451], [4, 25300], [5, 624], [10, 5424], [20, 7200]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4, 4], 'outer_gen_pows': [0, 0, 10000, 0, 10000], 'outer_gens': [[26005, 10002, 3208, 35232, 16320, 6400, 32000], [8533, 10002, 14812, 13408, 25280, 1600, 8000], [29057, 6, 14920, 31264, 32640, 4800, 24000], [5057, 9578, 10120, 18464, 8640, 1600, 8000], [23937, 21307, 7733, 861, 6272, 30016, 14848]], 'outer_group': '128.1090', 'outer_hash': 1090, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [40284840, 127376041, 7, 127382536, 80213047], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2.D_4^2', 'pc_rank': 7, 'perfect': False, 'permutation_degree': 28, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [4, 5], [16, 34], [32, 13], [64, 12]], 'representations': {'PC': {'code': '428441917021812729477261912538827882701151274869024866919530149235327402517150290000053793294686546911304983401166673416460559231176990633471176770775323198498181207674674581861301106135009659453695', 'gens': [1, 2, 4, 6, 8, 9, 10], 'pres': [10, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 134600, 425401, 51, 773882, 788963, 425133, 252263, 113, 752804, 554014, 249824, 493685, 719535, 9145, 292115, 95925, 175, 1209606, 324816, 4506, 43156, 1166, 276487, 263697, 25627, 89637, 6447, 3257, 720008, 1123218, 144028, 54038, 36048, 160009, 326419, 800029, 200039, 200049, 100059]}, 'Perm': {'d': 28, 'gens': [23907981168619471009535076622, 822250539450051281898458733, 12595310970647782615589003440, 1291831277137349278983574463]}}, 'schur_multiplier': [2, 2, 2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '(\\SO(3,7)\\times S_4^2).C_2^2', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 161461206
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 380, 'group_order': 40000, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 161461227
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 380, 'group_order': 40000, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 10004, 'size': 1}
  • id: 161461238
    {'aut_label': '2B', 'centralizer': '100.l1', 'counter': 3, 'group_counter': 380, 'group_order': 40000, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 3124, 'size': 100}
  • id: 161461249
    {'aut_label': '2B', 'centralizer': '100.l1', 'counter': 4, 'group_counter': 380, 'group_order': 40000, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 17309, 'size': 100}
  • id: 161461260
    {'aut_label': '2D', 'centralizer': '625.a1', 'counter': 5, 'group_counter': 380, 'group_order': 40000, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 36100, 'size': 625}
  • id: 161461271
    {'aut_label': '2E', 'centralizer': '625.a1', 'counter': 6, 'group_counter': 380, 'group_order': 40000, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 4688, 'size': 625}
  • id: 161461282
    {'aut_label': '4A1', 'centralizer': '50.g1', 'counter': 7, 'group_counter': 380, 'group_order': 40000, 'label': '4A1', 'order': 4, 'powers': [2, 7], 'representative': 33074, 'size': 50}
  • id: 161461293
    {'aut_label': '4A1', 'centralizer': '50.g1', 'counter': 8, 'group_counter': 380, 'group_order': 40000, 'label': '4A-1', 'order': 4, 'powers': [2, 8], 'representative': 7718, 'size': 50}
  • id: 161461304
    {'aut_label': '4A1', 'centralizer': '50.g1', 'counter': 9, 'group_counter': 380, 'group_order': 40000, 'label': '4B1', 'order': 4, 'powers': [2, 9], 'representative': 19982, 'size': 50}
  • id: 161461207
    {'aut_label': '4A1', 'centralizer': '50.g1', 'counter': 10, 'group_counter': 380, 'group_order': 40000, 'label': '4B-1', 'order': 4, 'powers': [2, 10], 'representative': 5082, 'size': 50}
  • id: 161461218
    {'aut_label': '4C', 'centralizer': '100.ba1', 'counter': 11, 'group_counter': 380, 'group_order': 40000, 'label': '4C', 'order': 4, 'powers': [2, 11], 'representative': 30037, 'size': 100}
  • id: 161461219
    {'aut_label': '4D', 'centralizer': '1250.e1', 'counter': 12, 'group_counter': 380, 'group_order': 40000, 'label': '4D', 'order': 4, 'powers': [6, 12], 'representative': 27900, 'size': 1250}
  • id: 161461220
    {'aut_label': '4E', 'centralizer': '1250.g1', 'counter': 13, 'group_counter': 380, 'group_order': 40000, 'label': '4E', 'order': 4, 'powers': [5, 13], 'representative': 6697, 'size': 1250}
  • id: 161461221
    {'aut_label': '4D', 'centralizer': '1250.e1', 'counter': 14, 'group_counter': 380, 'group_order': 40000, 'label': '4F', 'order': 4, 'powers': [6, 14], 'representative': 23528, 'size': 1250}
  • id: 161461222
    {'aut_label': '4E', 'centralizer': '1250.g1', 'counter': 15, 'group_counter': 380, 'group_order': 40000, 'label': '4G', 'order': 4, 'powers': [5, 15], 'representative': 9017, 'size': 1250}
  • id: 161461223
    {'aut_label': '4H1', 'centralizer': '1250.b1', 'counter': 16, 'group_counter': 380, 'group_order': 40000, 'label': '4H1', 'order': 4, 'powers': [6, 16], 'representative': 7141, 'size': 1250}
  • id: 161461224
    {'aut_label': '4H1', 'centralizer': '1250.b1', 'counter': 17, 'group_counter': 380, 'group_order': 40000, 'label': '4H-1', 'order': 4, 'powers': [6, 17], 'representative': 34485, 'size': 1250}
  • id: 161461225
    {'aut_label': '4H1', 'centralizer': '1250.b1', 'counter': 18, 'group_counter': 380, 'group_order': 40000, 'label': '4I1', 'order': 4, 'powers': [6, 18], 'representative': 17160, 'size': 1250}
  • id: 161461226
    {'aut_label': '4H1', 'centralizer': '1250.b1', 'counter': 19, 'group_counter': 380, 'group_order': 40000, 'label': '4I-1', 'order': 4, 'powers': [6, 19], 'representative': 23768, 'size': 1250}
  • id: 161461228
    {'aut_label': '4J', 'centralizer': '2500.h1', 'counter': 20, 'group_counter': 380, 'group_order': 40000, 'label': '4J', 'order': 4, 'powers': [5, 20], 'representative': 22402, 'size': 2500}
  • id: 161461229
    {'aut_label': '4J', 'centralizer': '2500.h1', 'counter': 21, 'group_counter': 380, 'group_order': 40000, 'label': '4K', 'order': 4, 'powers': [5, 21], 'representative': 37562, 'size': 2500}
  • id: 161461230
    {'aut_label': '4J', 'centralizer': '2500.h1', 'counter': 22, 'group_counter': 380, 'group_order': 40000, 'label': '4L', 'order': 4, 'powers': [5, 22], 'representative': 36731, 'size': 2500}
  • id: 161461231
    {'aut_label': '4M', 'centralizer': '2500.g1', 'counter': 23, 'group_counter': 380, 'group_order': 40000, 'label': '4M', 'order': 4, 'powers': [6, 23], 'representative': 36175, 'size': 2500}
  • id: 161461232
    {'aut_label': '4M', 'centralizer': '2500.g1', 'counter': 24, 'group_counter': 380, 'group_order': 40000, 'label': '4N', 'order': 4, 'powers': [6, 24], 'representative': 12215, 'size': 2500}
  • id: 161461233
    {'aut_label': '4J', 'centralizer': '2500.h1', 'counter': 25, 'group_counter': 380, 'group_order': 40000, 'label': '4O', 'order': 4, 'powers': [5, 25], 'representative': 15767, 'size': 2500}
  • id: 161461234
    {'aut_label': '5A', 'centralizer': '16.d1', 'counter': 26, 'group_counter': 380, 'group_order': 40000, 'label': '5A', 'order': 5, 'powers': [26, 1], 'representative': 30016, 'size': 16}
  • id: 161461235
    {'aut_label': '5B', 'centralizer': '16.d1', 'counter': 27, 'group_counter': 380, 'group_order': 40000, 'label': '5B', 'order': 5, 'powers': [27, 1], 'representative': 4992, 'size': 16}
  • id: 161461236
    {'aut_label': '5A', 'centralizer': '16.d1', 'counter': 28, 'group_counter': 380, 'group_order': 40000, 'label': '5C', 'order': 5, 'powers': [28, 1], 'representative': 24960, 'size': 16}
  • id: 161461237
    {'aut_label': '5B', 'centralizer': '16.d1', 'counter': 29, 'group_counter': 380, 'group_order': 40000, 'label': '5D', 'order': 5, 'powers': [29, 1], 'representative': 6272, 'size': 16}
  • id: 161461239
    {'aut_label': '5B', 'centralizer': '16.d1', 'counter': 30, 'group_counter': 380, 'group_order': 40000, 'label': '5E', 'order': 5, 'powers': [30, 1], 'representative': 27712, 'size': 16}
  • id: 161461240
    {'aut_label': '5B', 'centralizer': '16.d1', 'counter': 31, 'group_counter': 380, 'group_order': 40000, 'label': '5F', 'order': 5, 'powers': [31, 1], 'representative': 192, 'size': 16}
  • id: 161461241
    {'aut_label': '5G', 'centralizer': '16.e1', 'counter': 32, 'group_counter': 380, 'group_order': 40000, 'label': '5G', 'order': 5, 'powers': [32, 1], 'representative': 2048, 'size': 16}
  • id: 161461242
    {'aut_label': '5H', 'centralizer': '16.e1', 'counter': 33, 'group_counter': 380, 'group_order': 40000, 'label': '5H', 'order': 5, 'powers': [33, 1], 'representative': 17152, 'size': 16}
  • id: 161461243
    {'aut_label': '5G', 'centralizer': '16.e1', 'counter': 34, 'group_counter': 380, 'group_order': 40000, 'label': '5I', 'order': 5, 'powers': [34, 1], 'representative': 33792, 'size': 16}
  • id: 161461244
    {'aut_label': '5J', 'centralizer': '16.f1', 'counter': 35, 'group_counter': 380, 'group_order': 40000, 'label': '5J', 'order': 5, 'powers': [35, 1], 'representative': 38400, 'size': 16}
  • id: 161461245
    {'aut_label': '5K', 'centralizer': '16.f1', 'counter': 36, 'group_counter': 380, 'group_order': 40000, 'label': '5K', 'order': 5, 'powers': [36, 1], 'representative': 37632, 'size': 16}
  • id: 161461246
    {'aut_label': '5K', 'centralizer': '16.f1', 'counter': 37, 'group_counter': 380, 'group_order': 40000, 'label': '5L', 'order': 5, 'powers': [37, 1], 'representative': 33088, 'size': 16}
  • id: 161461247
    {'aut_label': '5G', 'centralizer': '16.e1', 'counter': 38, 'group_counter': 380, 'group_order': 40000, 'label': '5M', 'order': 5, 'powers': [38, 1], 'representative': 35712, 'size': 16}
  • id: 161461248
    {'aut_label': '5H', 'centralizer': '16.e1', 'counter': 39, 'group_counter': 380, 'group_order': 40000, 'label': '5N', 'order': 5, 'powers': [39, 1], 'representative': 7936, 'size': 16}
  • id: 161461250
    {'aut_label': '5G', 'centralizer': '16.e1', 'counter': 40, 'group_counter': 380, 'group_order': 40000, 'label': '5O', 'order': 5, 'powers': [40, 1], 'representative': 21440, 'size': 16}
  • id: 161461251
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 41, 'group_counter': 380, 'group_order': 40000, 'label': '5P1', 'order': 5, 'powers': [42, 1], 'representative': 29952, 'size': 32}
  • id: 161461252
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 42, 'group_counter': 380, 'group_order': 40000, 'label': '5P2', 'order': 5, 'powers': [41, 1], 'representative': 9984, 'size': 32}
  • id: 161461253
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 43, 'group_counter': 380, 'group_order': 40000, 'label': '5Q1', 'order': 5, 'powers': [44, 1], 'representative': 25152, 'size': 32}
  • id: 161461254
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 44, 'group_counter': 380, 'group_order': 40000, 'label': '5Q2', 'order': 5, 'powers': [43, 1], 'representative': 8384, 'size': 32}
  • id: 161461255
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 45, 'group_counter': 380, 'group_order': 40000, 'label': '5R1', 'order': 5, 'powers': [46, 1], 'representative': 21952, 'size': 32}
  • id: 161461256
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 46, 'group_counter': 380, 'group_order': 40000, 'label': '5R2', 'order': 5, 'powers': [45, 1], 'representative': 33984, 'size': 32}
  • id: 161461257
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 47, 'group_counter': 380, 'group_order': 40000, 'label': '5S1', 'order': 5, 'powers': [48, 1], 'representative': 37952, 'size': 32}
  • id: 161461258
    {'aut_label': '5P1', 'centralizer': '32.a1', 'counter': 48, 'group_counter': 380, 'group_order': 40000, 'label': '5S2', 'order': 5, 'powers': [47, 1], 'representative': 25984, 'size': 32}
  • id: 161461259
    {'aut_label': '5T1', 'centralizer': '32.a1', 'counter': 49, 'group_counter': 380, 'group_order': 40000, 'label': '5T1', 'order': 5, 'powers': [50, 1], 'representative': 29824, 'size': 32}
  • id: 161461261
    {'aut_label': '5T1', 'centralizer': '32.a1', 'counter': 50, 'group_counter': 380, 'group_order': 40000, 'label': '5T2', 'order': 5, 'powers': [49, 1], 'representative': 10048, 'size': 32}
  • id: 161461262
    {'aut_label': '5T1', 'centralizer': '32.a1', 'counter': 51, 'group_counter': 380, 'group_order': 40000, 'label': '5U1', 'order': 5, 'powers': [52, 1], 'representative': 24192, 'size': 32}
  • id: 161461263
    {'aut_label': '5T1', 'centralizer': '32.a1', 'counter': 52, 'group_counter': 380, 'group_order': 40000, 'label': '5U2', 'order': 5, 'powers': [51, 1], 'representative': 8064, 'size': 32}
  • id: 161461264
    {'aut_label': '10A', 'centralizer': '16.d1', 'counter': 53, 'group_counter': 380, 'group_order': 40000, 'label': '10A', 'order': 10, 'powers': [26, 2], 'representative': 212, 'size': 16}
  • id: 161461265
    {'aut_label': '10B', 'centralizer': '16.d1', 'counter': 54, 'group_counter': 380, 'group_order': 40000, 'label': '10B', 'order': 10, 'powers': [27, 2], 'representative': 8340, 'size': 16}
  • id: 161461266
    {'aut_label': '10A', 'centralizer': '16.d1', 'counter': 55, 'group_counter': 380, 'group_order': 40000, 'label': '10C', 'order': 10, 'powers': [28, 2], 'representative': 1684, 'size': 16}
  • id: 161461267
    {'aut_label': '10B', 'centralizer': '16.d1', 'counter': 56, 'group_counter': 380, 'group_order': 40000, 'label': '10D', 'order': 10, 'powers': [29, 2], 'representative': 8980, 'size': 16}
  • id: 161461268
    {'aut_label': '10B', 'centralizer': '16.d1', 'counter': 57, 'group_counter': 380, 'group_order': 40000, 'label': '10E', 'order': 10, 'powers': [30, 2], 'representative': 4500, 'size': 16}
  • id: 161461269
    {'aut_label': '10B', 'centralizer': '16.d1', 'counter': 58, 'group_counter': 380, 'group_order': 40000, 'label': '10F', 'order': 10, 'powers': [31, 2], 'representative': 9940, 'size': 16}
  • id: 161461270
    {'aut_label': '10G', 'centralizer': '16.e1', 'counter': 59, 'group_counter': 380, 'group_order': 40000, 'label': '10G', 'order': 10, 'powers': [32, 2], 'representative': 15828, 'size': 16}
  • id: 161461272
    {'aut_label': '10H', 'centralizer': '16.e1', 'counter': 60, 'group_counter': 380, 'group_order': 40000, 'label': '10H', 'order': 10, 'powers': [33, 2], 'representative': 17620, 'size': 16}
  • id: 161461273
    {'aut_label': '10G', 'centralizer': '16.e1', 'counter': 61, 'group_counter': 380, 'group_order': 40000, 'label': '10I', 'order': 10, 'powers': [34, 2], 'representative': 30740, 'size': 16}
  • id: 161461274
    {'aut_label': '10J', 'centralizer': '16.f1', 'counter': 62, 'group_counter': 380, 'group_order': 40000, 'label': '10J', 'order': 10, 'powers': [35, 2], 'representative': 29204, 'size': 16}
  • id: 161461275
    {'aut_label': '10K', 'centralizer': '16.f1', 'counter': 63, 'group_counter': 380, 'group_order': 40000, 'label': '10K', 'order': 10, 'powers': [36, 2], 'representative': 24660, 'size': 16}
  • id: 161461276
    {'aut_label': '10K', 'centralizer': '16.f1', 'counter': 64, 'group_counter': 380, 'group_order': 40000, 'label': '10L', 'order': 10, 'powers': [37, 2], 'representative': 25748, 'size': 16}
  • id: 161461277
    {'aut_label': '10G', 'centralizer': '16.e1', 'counter': 65, 'group_counter': 380, 'group_order': 40000, 'label': '10M', 'order': 10, 'powers': [38, 2], 'representative': 28500, 'size': 16}
  • id: 161461278
    {'aut_label': '10H', 'centralizer': '16.e1', 'counter': 66, 'group_counter': 380, 'group_order': 40000, 'label': '10N', 'order': 10, 'powers': [39, 2], 'representative': 13972, 'size': 16}
  • id: 161461279
    {'aut_label': '10G', 'centralizer': '16.e1', 'counter': 67, 'group_counter': 380, 'group_order': 40000, 'label': '10O', 'order': 10, 'powers': [40, 2], 'representative': 16724, 'size': 16}
  • id: 161461280
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 68, 'group_counter': 380, 'group_order': 40000, 'label': '10P1', 'order': 10, 'powers': [41, 2], 'representative': 20, 'size': 32}
  • id: 161461281
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 69, 'group_counter': 380, 'group_order': 40000, 'label': '10P3', 'order': 10, 'powers': [42, 2], 'representative': 340, 'size': 32}
  • id: 161461283
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 70, 'group_counter': 380, 'group_order': 40000, 'label': '10Q1', 'order': 10, 'powers': [43, 2], 'representative': 1620, 'size': 32}
  • id: 161461284
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 71, 'group_counter': 380, 'group_order': 40000, 'label': '10Q3', 'order': 10, 'powers': [44, 2], 'representative': 3220, 'size': 32}
  • id: 161461285
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 72, 'group_counter': 380, 'group_order': 40000, 'label': '10R1', 'order': 10, 'powers': [45, 2], 'representative': 16020, 'size': 32}
  • id: 161461286
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 73, 'group_counter': 380, 'group_order': 40000, 'label': '10R3', 'order': 10, 'powers': [46, 2], 'representative': 1300, 'size': 32}
  • id: 161461287
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 74, 'group_counter': 380, 'group_order': 40000, 'label': '10S1', 'order': 10, 'powers': [47, 2], 'representative': 24020, 'size': 32}
  • id: 161461288
    {'aut_label': '10P1', 'centralizer': '32.a1', 'counter': 75, 'group_counter': 380, 'group_order': 40000, 'label': '10S3', 'order': 10, 'powers': [48, 2], 'representative': 11220, 'size': 32}
  • id: 161461289
    {'aut_label': '10T1', 'centralizer': '32.a1', 'counter': 76, 'group_counter': 380, 'group_order': 40000, 'label': '10T1', 'order': 10, 'powers': [49, 2], 'representative': 276, 'size': 32}
  • id: 161461290
    {'aut_label': '10T1', 'centralizer': '32.a1', 'counter': 77, 'group_counter': 380, 'group_order': 40000, 'label': '10T3', 'order': 10, 'powers': [50, 2], 'representative': 24340, 'size': 32}
  • id: 161461291
    {'aut_label': '10T1', 'centralizer': '32.a1', 'counter': 78, 'group_counter': 380, 'group_order': 40000, 'label': '10U1', 'order': 10, 'powers': [51, 2], 'representative': 1940, 'size': 32}
  • id: 161461292
    {'aut_label': '10T1', 'centralizer': '32.a1', 'counter': 79, 'group_counter': 380, 'group_order': 40000, 'label': '10U3', 'order': 10, 'powers': [52, 2], 'representative': 3540, 'size': 32}
  • id: 161461294
    {'aut_label': '10V', 'centralizer': '400.a1', 'counter': 80, 'group_counter': 380, 'group_order': 40000, 'label': '10V', 'order': 10, 'powers': [28, 3], 'representative': 16692, 'size': 400}
  • id: 161461295
    {'aut_label': '10V', 'centralizer': '400.a1', 'counter': 81, 'group_counter': 380, 'group_order': 40000, 'label': '10W', 'order': 10, 'powers': [26, 4], 'representative': 19993, 'size': 400}
  • id: 161461296
    {'aut_label': '10V', 'centralizer': '400.a1', 'counter': 82, 'group_counter': 380, 'group_order': 40000, 'label': '10X', 'order': 10, 'powers': [28, 3], 'representative': 17632, 'size': 400}
  • id: 161461297
    {'aut_label': '10V', 'centralizer': '400.a1', 'counter': 83, 'group_counter': 380, 'group_order': 40000, 'label': '10Y', 'order': 10, 'powers': [26, 4], 'representative': 16857, 'size': 400}
  • id: 161461298
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 84, 'group_counter': 380, 'group_order': 40000, 'label': '10Z1', 'order': 10, 'powers': [27, 3], 'representative': 4788, 'size': 400}
  • id: 161461299
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 85, 'group_counter': 380, 'group_order': 40000, 'label': '10Z3', 'order': 10, 'powers': [27, 3], 'representative': 7796, 'size': 400}
  • id: 161461300
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 86, 'group_counter': 380, 'group_order': 40000, 'label': '10AA1', 'order': 10, 'powers': [30, 4], 'representative': 8221, 'size': 400}
  • id: 161461301
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 87, 'group_counter': 380, 'group_order': 40000, 'label': '10AA3', 'order': 10, 'powers': [30, 4], 'representative': 32925, 'size': 400}
  • id: 161461302
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 88, 'group_counter': 380, 'group_order': 40000, 'label': '10AB1', 'order': 10, 'powers': [29, 4], 'representative': 18457, 'size': 400}
  • id: 161461303
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 89, 'group_counter': 380, 'group_order': 40000, 'label': '10AB3', 'order': 10, 'powers': [29, 4], 'representative': 30681, 'size': 400}
  • id: 161461305
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 90, 'group_counter': 380, 'group_order': 40000, 'label': '10AC1', 'order': 10, 'powers': [31, 3], 'representative': 31844, 'size': 400}
  • id: 161461306
    {'aut_label': '10Z1', 'centralizer': '400.a1', 'counter': 91, 'group_counter': 380, 'group_order': 40000, 'label': '10AC3', 'order': 10, 'powers': [31, 3], 'representative': 38884, 'size': 400}
  • id: 161461307
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 92, 'group_counter': 380, 'group_order': 40000, 'label': '20A1', 'order': 20, 'powers': [59, 7], 'representative': 39346, 'size': 400}
  • id: 161461308
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 93, 'group_counter': 380, 'group_order': 40000, 'label': '20A-1', 'order': 20, 'powers': [59, 8], 'representative': 166, 'size': 400}
  • id: 161461309
    {'aut_label': '20B1', 'centralizer': '400.bn1', 'counter': 94, 'group_counter': 380, 'group_order': 40000, 'label': '20B1', 'order': 20, 'powers': [60, 7], 'representative': 13026, 'size': 400}
  • id: 161461310
    {'aut_label': '20B1', 'centralizer': '400.bn1', 'counter': 95, 'group_counter': 380, 'group_order': 40000, 'label': '20B-1', 'order': 20, 'powers': [60, 8], 'representative': 38454, 'size': 400}
  • id: 161461311
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 96, 'group_counter': 380, 'group_order': 40000, 'label': '20C1', 'order': 20, 'powers': [61, 7], 'representative': 7906, 'size': 400}
  • id: 161461312
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 97, 'group_counter': 380, 'group_order': 40000, 'label': '20C-1', 'order': 20, 'powers': [61, 8], 'representative': 20214, 'size': 400}
  • id: 161461313
    {'aut_label': '20D1', 'centralizer': '400.bw1', 'counter': 98, 'group_counter': 380, 'group_order': 40000, 'label': '20D1', 'order': 20, 'powers': [62, 11], 'representative': 39637, 'size': 400}
  • id: 161461314
    {'aut_label': '20D1', 'centralizer': '400.bw1', 'counter': 99, 'group_counter': 380, 'group_order': 40000, 'label': '20D-1', 'order': 20, 'powers': [62, 11], 'representative': 10433, 'size': 400}
  • id: 161461208
    {'aut_label': '20E1', 'centralizer': '400.bw1', 'counter': 100, 'group_counter': 380, 'group_order': 40000, 'label': '20E1', 'order': 20, 'powers': [63, 11], 'representative': 3201, 'size': 400}
  • id: 161461209
    {'aut_label': '20E1', 'centralizer': '400.bw1', 'counter': 101, 'group_counter': 380, 'group_order': 40000, 'label': '20E-1', 'order': 20, 'powers': [63, 11], 'representative': 38549, 'size': 400}
  • id: 161461210
    {'aut_label': '20E1', 'centralizer': '400.bw1', 'counter': 102, 'group_counter': 380, 'group_order': 40000, 'label': '20F1', 'order': 20, 'powers': [64, 11], 'representative': 26497, 'size': 400}
  • id: 161461211
    {'aut_label': '20E1', 'centralizer': '400.bw1', 'counter': 103, 'group_counter': 380, 'group_order': 40000, 'label': '20F-1', 'order': 20, 'powers': [64, 11], 'representative': 20757, 'size': 400}
  • id: 161461212
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 104, 'group_counter': 380, 'group_order': 40000, 'label': '20G1', 'order': 20, 'powers': [65, 9], 'representative': 24590, 'size': 400}
  • id: 161461213
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 105, 'group_counter': 380, 'group_order': 40000, 'label': '20G-1', 'order': 20, 'powers': [65, 10], 'representative': 32474, 'size': 400}
  • id: 161461214
    {'aut_label': '20B1', 'centralizer': '400.bn1', 'counter': 106, 'group_counter': 380, 'group_order': 40000, 'label': '20H1', 'order': 20, 'powers': [66, 10], 'representative': 36746, 'size': 400}
  • id: 161461215
    {'aut_label': '20B1', 'centralizer': '400.bn1', 'counter': 107, 'group_counter': 380, 'group_order': 40000, 'label': '20H-1', 'order': 20, 'powers': [66, 9], 'representative': 17886, 'size': 400}
  • id: 161461216
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 108, 'group_counter': 380, 'group_order': 40000, 'label': '20I1', 'order': 20, 'powers': [67, 10], 'representative': 25610, 'size': 400}
  • id: 161461217
    {'aut_label': '20A1', 'centralizer': '400.bn1', 'counter': 109, 'group_counter': 380, 'group_order': 40000, 'label': '20I-1', 'order': 20, 'powers': [67, 9], 'representative': 5598, 'size': 400}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 15935315
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 15935326
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 15935337
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 15935348
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 15935359
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 15935370
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 15935381
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 15935392
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 15935394
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 15935316
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 15935317
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 15935318
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 15935319
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 15935320
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 15935321
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 15935322
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 15935323
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.2a', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935324
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.2b', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935325
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.2c', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935327
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.2d', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935328
    {'cdim': 4, 'counter': 21, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.4a', 'multiplicity': 1, 'nt': [16, 20], 'qdim': 4, 'qvalues': [4, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 15935329
    {'cdim': 16, 'counter': 22, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16a', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 6, -4, -4, -4, 11, 6, 6, -4, 6, 6, 6, -4, -4, 1, -4, 1, -4, 1, 1, 1, 1, 1, -4, -4, 1, 6, -4, -4, -4, 6, -4, 6, -4, 6, -4, -4, -4, 11, 6, 6, 1, -4, 1, 1, 1, 1, -4, -4, 1, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, -2, 0, 3, 0, 3, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935330
    {'cdim': 16, 'counter': 23, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16b', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 6, 6, 6, -4, 6, -4, 11, 6, -4, -4, -4, -4, 6, -4, 1, -4, 1, -4, 1, -4, 1, 1, 1, 1, 1, 11, -4, -4, -4, -4, 6, -4, 6, -4, 6, 6, -4, 6, -4, 6, -4, 1, 1, -4, 1, -4, 1, 1, 1, 1, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 3, 0, 3, -2, 0, -2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935331
    {'cdim': 16, 'counter': 24, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16c', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 11, -4, -4, 6, 6, -4, 6, -4, -4, -4, -4, 6, -4, 1, 1, 1, 1, 1, -4, 1, -4, -4, 1, 1, -4, 6, 6, 6, 6, -4, -4, -4, -4, -4, -4, -4, 6, 6, -4, 11, 1, 1, -4, 1, -4, 1, 1, 1, -4, -4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, -2, 0, -2, 3, 0, -2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935332
    {'cdim': 16, 'counter': 25, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16d', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 6, 6, 6, 6, -4, 6, -4, -4, 11, 6, -4, -4, 1, 1, 1, 1, 1, -4, -4, 1, 1, 1, -4, -4, -4, -4, 6, -4, -4, 6, 6, 11, 6, -4, 6, 6, -4, -4, 1, 1, 1, -4, -4, 1, 1, 1, -4, 1, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 0, 3, 0, -2, 0, -2, 0, -2, 0], 'schur_index': 1}
  • id: 15935333
    {'cdim': 16, 'counter': 26, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16e', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, 6, 6, -4, 11, -4, -4, -4, 6, -4, 6, 6, -4, -4, 1, -4, -4, 1, -4, 1, 1, 1, 1, 1, -4, 1, -4, 6, -4, 11, -4, 6, -4, -4, 6, 6, -4, -4, -4, 6, 6, -4, 1, 1, 1, 1, -4, -4, 1, 1, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, -2, 0, -2, 0, 3, 0, 3, 0], 'schur_index': 1}
  • id: 15935334
    {'cdim': 16, 'counter': 27, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16f', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, -4, -4, -4, 6, -4, -4, 6, 11, 6, -4, 6, -4, 6, 1, 1, 1, -4, 1, -4, 1, 1, -4, -4, 1, 1, 6, -4, 6, 6, 6, -4, -4, -4, 6, 11, 6, -4, -4, -4, -4, 1, -4, -4, 1, 1, 1, 1, -4, 1, -4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0, -2, 0, 3, 0, -2, 0, -2, 0], 'schur_index': 1}
  • id: 15935335
    {'cdim': 16, 'counter': 28, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16g', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 6, -4, 6, 6, -4, -4, -4, 6, 11, -4, 6, 6, -4, 1, 1, 1, 1, -4, -4, 1, -4, 1, 1, 1, -4, -4, -4, 6, 6, 6, -4, -4, -4, -4, 6, 6, 6, 11, -4, 1, 1, -4, -4, 1, 1, 1, 1, 1, -4, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 3, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 3], 'schur_index': 1}
  • id: 15935336
    {'cdim': 16, 'counter': 29, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16h', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, -4, -4, -4, -4, -4, 6, 6, 6, -4, 6, -4, 6, 11, 1, -4, 1, 1, 1, 1, 1, -4, 1, 1, -4, -4, 6, 6, -4, -4, -4, -4, 6, -4, -4, 6, 11, 6, -4, 6, -4, 1, 1, 1, 1, -4, 1, -4, 1, -4, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 3, 0, 0, -2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2], 'schur_index': 1}
  • id: 15935338
    {'cdim': 16, 'counter': 30, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16i', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, 6, -4, 6, -4, -4, -4, -4, -4, -4, 6, 6, 11, 6, 1, 1, -4, -4, -4, 1, 1, 1, 1, -4, 1, 1, -4, -4, 6, -4, -4, -4, -4, 6, 6, -4, 6, 11, -4, 6, 6, -4, -4, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, -2], 'schur_index': 1}
  • id: 15935339
    {'cdim': 16, 'counter': 31, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16j', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, -4, 6, 11, -4, -4, -4, 6, -4, 6, -4, 6, 6, -4, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, -4, 1, 6, 6, -4, -4, 6, 6, -4, 11, 6, -4, -4, 6, -4, -4, -4, 1, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, -4, 3, 0, 0, 0, -2, 0, 3, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935340
    {'cdim': 16, 'counter': 32, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16k', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 11, 6, -4, 6, 6, -4, 6, -4, -4, 6, -4, -4, -4, 6, -4, 1, 1, -4, 1, 1, -4, 1, 1, -4, 1, 1, -4, 11, -4, 6, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 6, 1, -4, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, -2, 0, 0, 0, -2, 0, -2, -2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935341
    {'cdim': 16, 'counter': 33, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16l', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -4, -4, 6, -4, 6, -4, -4, 6, 11, 6, -4, -4, -4, 1, 1, -4, 1, -4, 1, 1, -4, 1, 1, 1, -4, -4, 6, 6, -4, 11, -4, -4, 6, -4, 6, -4, -4, 6, 6, -4, -4, 1, 1, 1, -4, -4, 1, 1, -4, 1, 1, 1, -2, 0, 0, 0, 3, 0, -2, 3, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935342
    {'cdim': 16, 'counter': 34, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16m', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, -4, 11, 6, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 1, 1, 1, -4, 1, 1, 1, -4, 1, -4, 1, -4, 6, -4, 6, 6, -4, 11, 6, 6, -4, -4, -4, -4, -4, 6, -4, 1, -4, 1, 1, -4, 1, 1, -4, -4, 1, 1, 1, 0, -2, -2, 3, 0, -2, 0, 0, 3, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935343
    {'cdim': 16, 'counter': 35, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16n', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -4, 6, -4, -4, 6, 11, -4, -4, -4, -4, 6, -4, 6, 1, 1, -4, 1, -4, -4, 1, 1, -4, 1, 1, 1, -4, 6, 6, -4, -4, 6, 11, -4, 6, -4, 6, -4, 6, -4, -4, -4, 1, -4, 1, 1, -4, 1, 1, 1, -4, 1, 1, 0, 3, -2, -2, 0, -2, 0, 0, -2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935344
    {'cdim': 16, 'counter': 36, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16o', 'multiplicity': 1, 'nt': [20, 507], 'qdim': 16, 'qvalues': [16, 16, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, -4, 6, 6, -4, -4, -4, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 1, 1, 1, 1, -4, 1, 1, 1, -4, 1, -4, -4, 11, -4, 6, 6, 6, -4, -4, 6, -4, 6, -4, -4, 6, 1, 1, 1, -4, 1, 1, -4, 1, 1, 1, -4, -4, 0, -2, 3, -2, 0, 3, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935345
    {'cdim': 16, 'counter': 37, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16p', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, -4, 11, 6, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 1, 1, 1, -4, 1, 1, 1, -4, 1, -4, 1, -4, 6, -4, 6, 6, -4, 11, 6, 6, -4, -4, -4, -4, -4, 6, -4, 1, -4, 1, 1, -4, 1, 1, -4, -4, 1, 1, 1, 0, 2, 2, -3, 0, 2, 0, 0, -3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935346
    {'cdim': 16, 'counter': 38, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16q', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -4, 6, -4, -4, 6, 11, -4, -4, -4, -4, 6, -4, 6, 1, 1, -4, 1, -4, -4, 1, 1, -4, 1, 1, 1, -4, 6, 6, -4, -4, 6, 11, -4, 6, -4, 6, -4, 6, -4, -4, -4, 1, -4, 1, 1, -4, 1, 1, 1, -4, 1, 1, 0, -3, 2, 2, 0, 2, 0, 0, 2, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935347
    {'cdim': 16, 'counter': 39, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16r', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, -4, 6, 6, -4, -4, -4, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 1, 1, 1, 1, -4, 1, 1, 1, -4, 1, -4, -4, 11, -4, 6, 6, 6, -4, -4, 6, -4, 6, -4, -4, 6, 1, 1, 1, -4, 1, 1, -4, 1, 1, 1, -4, -4, 0, 2, -3, 2, 0, -3, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935349
    {'cdim': 16, 'counter': 40, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16s', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, -4, 6, 11, -4, -4, -4, 6, -4, 6, -4, 6, 6, -4, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, -4, 1, 6, 6, -4, -4, 6, 6, -4, 11, 6, -4, -4, 6, -4, -4, -4, 1, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, -4, -3, 0, 0, 0, 2, 0, -3, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935350
    {'cdim': 16, 'counter': 41, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16t', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 11, 6, -4, 6, 6, -4, 6, -4, -4, 6, -4, -4, -4, 6, -4, 1, 1, -4, 1, 1, -4, 1, 1, -4, 1, 1, -4, 11, -4, 6, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 6, 1, -4, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935351
    {'cdim': 16, 'counter': 42, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16u', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -4, -4, 6, -4, 6, -4, -4, 6, 11, 6, -4, -4, -4, 1, 1, -4, 1, -4, 1, 1, -4, 1, 1, 1, -4, -4, 6, 6, -4, 11, -4, -4, 6, -4, 6, -4, -4, 6, 6, -4, -4, 1, 1, 1, -4, -4, 1, 1, -4, 1, 1, 1, 2, 0, 0, 0, -3, 0, 2, -3, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935352
    {'cdim': 16, 'counter': 43, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16v', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 6, -4, 6, 6, -4, -4, -4, 6, 11, -4, 6, 6, -4, 1, 1, 1, 1, -4, -4, 1, -4, 1, 1, 1, -4, -4, -4, 6, 6, 6, -4, -4, -4, -4, 6, 6, 6, 11, -4, 1, 1, -4, -4, 1, 1, 1, 1, 1, -4, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -3], 'schur_index': 1}
  • id: 15935353
    {'cdim': 16, 'counter': 44, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16w', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, -4, -4, -4, -4, -4, 6, 6, 6, -4, 6, -4, 6, 11, 1, -4, 1, 1, 1, 1, 1, -4, 1, 1, -4, -4, 6, 6, -4, -4, -4, -4, 6, -4, -4, 6, 11, 6, -4, 6, -4, 1, 1, 1, 1, -4, 1, -4, 1, -4, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 2, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2], 'schur_index': 1}
  • id: 15935354
    {'cdim': 16, 'counter': 45, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16x', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, 6, -4, 6, -4, -4, -4, -4, -4, -4, 6, 6, 11, 6, 1, 1, -4, -4, -4, 1, 1, 1, 1, -4, 1, 1, -4, -4, 6, -4, -4, -4, -4, 6, 6, -4, 6, 11, -4, 6, 6, -4, -4, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 2], 'schur_index': 1}
  • id: 15935355
    {'cdim': 16, 'counter': 46, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16y', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 6, 6, 6, 6, -4, 6, -4, -4, 11, 6, -4, -4, 1, 1, 1, 1, 1, -4, -4, 1, 1, 1, -4, -4, -4, -4, 6, -4, -4, 6, 6, 11, 6, -4, 6, 6, -4, -4, 1, 1, 1, -4, -4, 1, 1, 1, -4, 1, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 2, 0, 0, 0, 0, -3, 0, 2, 0, 2, 0, 2, 0], 'schur_index': 1}
  • id: 15935356
    {'cdim': 16, 'counter': 47, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16z', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, 6, 6, -4, 11, -4, -4, -4, 6, -4, 6, 6, -4, -4, 1, -4, -4, 1, -4, 1, 1, 1, 1, 1, -4, 1, -4, 6, -4, 11, -4, 6, -4, -4, 6, 6, -4, -4, -4, 6, 6, -4, 1, 1, 1, 1, -4, -4, 1, 1, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, -3, 0, -3, 0], 'schur_index': 1}
  • id: 15935357
    {'cdim': 16, 'counter': 48, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16aa', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, -4, -4, -4, 6, -4, -4, 6, 11, 6, -4, 6, -4, 6, 1, 1, 1, -4, 1, -4, 1, 1, -4, -4, 1, 1, 6, -4, 6, 6, 6, -4, -4, -4, 6, 11, 6, -4, -4, -4, -4, 1, -4, -4, 1, 1, 1, 1, -4, 1, -4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0, 2, 0, -3, 0, 2, 0, 2, 0], 'schur_index': 1}
  • id: 15935358
    {'cdim': 16, 'counter': 49, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ab', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 6, -4, -4, -4, 11, 6, 6, -4, 6, 6, 6, -4, -4, 1, -4, 1, -4, 1, 1, 1, 1, 1, -4, -4, 1, 6, -4, -4, -4, 6, -4, 6, -4, 6, -4, -4, -4, 11, 6, 6, 1, -4, 1, 1, 1, 1, -4, -4, 1, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, -3, 0, -3, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935360
    {'cdim': 16, 'counter': 50, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ac', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 6, 6, 6, -4, 6, -4, 11, 6, -4, -4, -4, -4, 6, -4, 1, -4, 1, -4, 1, -4, 1, 1, 1, 1, 1, 11, -4, -4, -4, -4, 6, -4, 6, -4, 6, 6, -4, 6, -4, 6, -4, 1, 1, -4, 1, -4, 1, 1, 1, 1, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -3, 0, -3, 2, 0, 2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935361
    {'cdim': 16, 'counter': 51, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ad', 'multiplicity': 1, 'nt': [40, 11081], 'qdim': 16, 'qvalues': [16, 16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 11, -4, -4, 6, 6, -4, 6, -4, -4, -4, -4, 6, -4, 1, 1, 1, 1, 1, -4, 1, -4, -4, 1, 1, -4, 6, 6, 6, 6, -4, -4, -4, -4, -4, -4, -4, 6, 6, -4, 11, 1, 1, -4, 1, -4, 1, 1, 1, -4, -4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 2, 0, 2, -3, 0, 2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935362
    {'cdim': 16, 'counter': 52, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ae', 'multiplicity': 1, 'nt': [40, 15272], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, -4, 6, 11, -4, -4, -4, 6, -4, 6, -4, 6, 6, -4, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, -4, 1, -6, -6, 4, 4, -6, -6, 4, -11, -6, 4, 4, -6, 4, 4, 4, -1, -1, 4, -1, -1, -1, 4, -1, -1, 4, -1, 4, -5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935363
    {'cdim': 16, 'counter': 53, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16af', 'multiplicity': 1, 'nt': [40, 15272], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 6, -4, 6, 11, -4, -4, -4, 6, -4, 6, -4, 6, 6, -4, 1, -4, 1, 1, 1, -4, 1, 1, -4, 1, -4, 1, -6, -6, 4, 4, -6, -6, 4, -11, -6, 4, 4, -6, 4, 4, 4, -1, -1, 4, -1, -1, -1, 4, -1, -1, 4, -1, 4, 5, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935364
    {'cdim': 16, 'counter': 54, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ag', 'multiplicity': 1, 'nt': [40, 15272], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, -4, 11, 6, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 1, 1, 1, -4, 1, 1, 1, -4, 1, -4, 1, -4, -6, 4, -6, -6, 4, -11, -6, -6, 4, 4, 4, 4, 4, -6, 4, -1, 4, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, 0, 0, 0, -5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935365
    {'cdim': 16, 'counter': 55, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ah', 'multiplicity': 1, 'nt': [40, 15272], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -4, -4, 11, 6, 6, -4, 6, 6, -4, -4, 6, -4, -4, -4, 1, 1, 1, -4, 1, 1, 1, -4, 1, -4, 1, -4, -6, 4, -6, -6, 4, -11, -6, -6, 4, 4, 4, 4, 4, -6, 4, -1, 4, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, 0, 0, 0, 5, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935366
    {'cdim': 16, 'counter': 56, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ai', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 12, 12, 12, 12, -8, 12, -8, -8, 22, 12, -8, -8, 2, 2, 2, 2, 2, -8, -8, 2, 2, 2, -8, 8, 8, 8, -12, 8, 8, -12, -12, -22, -12, 8, -12, -12, 8, 8, -2, -2, -2, 8, 8, -2, -2, -2, 8, -2, 8, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935367
    {'cdim': 16, 'counter': 57, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16aj', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 12, -8, 12, 12, -8, -8, -8, 12, 22, -8, 12, 12, -8, 2, 2, 2, 2, -8, -8, 2, -8, 2, 2, 2, 8, 8, 8, -12, -12, -12, 8, 8, 8, 8, -12, -12, -12, -22, 8, -2, -2, 8, 8, -2, -2, -2, -2, -2, 8, 8, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935368
    {'cdim': 16, 'counter': 58, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ak', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 12, -8, -8, -8, 22, 12, 12, -8, 12, 12, 12, -8, -8, 2, -8, 2, -8, 2, 2, 2, 2, 2, -8, -8, 2, -12, 8, 8, 8, -12, 8, -12, 8, -12, 8, 8, 8, -22, -12, -12, -2, 8, -2, -2, -2, -2, 8, 8, -2, -2, -2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935369
    {'cdim': 16, 'counter': 59, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16al', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 12, 12, 12, -8, 12, -8, 22, 12, -8, -8, -8, -8, 12, -8, 2, -8, 2, -8, 2, -8, 2, 2, 2, 2, 2, -22, 8, 8, 8, 8, -12, 8, -12, 8, -12, -12, 8, -12, 8, -12, 8, -2, -2, 8, -2, 8, -2, -2, -2, -2, 8, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935371
    {'cdim': 16, 'counter': 60, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16am', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 12, -8, -8, -8, -8, -8, 12, 12, 12, -8, 12, -8, 12, 22, 2, -8, 2, 2, 2, 2, 2, -8, 2, 2, -8, -8, -12, -12, 8, 8, 8, 8, -12, 8, 8, -12, -22, -12, 8, -12, 8, -2, -2, -2, -2, 8, -2, 8, -2, 8, -2, -2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935372
    {'cdim': 16, 'counter': 61, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16an', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 12, 12, 12, -8, 22, -8, -8, -8, 12, -8, 12, 12, -8, -8, 2, -8, -8, 2, -8, 2, 2, 2, 2, 2, -8, 2, 8, -12, 8, -22, 8, -12, 8, 8, -12, -12, 8, 8, 8, -12, -12, 8, -2, -2, -2, -2, 8, 8, -2, -2, -2, -2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935373
    {'cdim': 16, 'counter': 62, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ao', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 22, 12, -8, 12, 12, -8, 12, -8, -8, 12, -8, -8, -8, 12, -8, 2, 2, -8, 2, 2, -8, 2, 2, -8, 2, 2, 8, -22, 8, -12, -12, 8, -12, -12, 8, 8, -12, 8, 8, 8, -12, -2, 8, -2, 8, -2, -2, -2, 8, -2, -2, 8, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935374
    {'cdim': 16, 'counter': 63, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ap', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -8, -8, -8, -8, 12, -8, -8, 12, 22, 12, -8, 12, -8, 12, 2, 2, 2, -8, 2, -8, 2, 2, -8, -8, 2, 2, -12, 8, -12, -12, -12, 8, 8, 8, -12, -22, -12, 8, 8, 8, 8, -2, 8, 8, -2, -2, -2, -2, 8, -2, 8, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935375
    {'cdim': 16, 'counter': 64, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16aq', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -8, 12, -8, 12, -8, -8, -8, -8, -8, -8, 12, 12, 22, 12, 2, 2, -8, -8, -8, 2, 2, 2, 2, -8, 2, 2, 8, 8, -12, 8, 8, 8, 8, -12, -12, 8, -12, -22, 8, -12, -12, 8, 8, -2, -2, -2, 8, -2, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935376
    {'cdim': 16, 'counter': 65, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16ar', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, -8, -8, 12, -8, 12, -8, -8, 12, 22, 12, -8, -8, -8, 2, 2, -8, 2, -8, 2, 2, -8, 2, 2, 2, -8, 8, -12, -12, 8, -22, 8, 8, -12, 8, -12, 8, 8, -12, -12, 8, 8, -2, -2, -2, 8, 8, -2, -2, 8, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935377
    {'cdim': 16, 'counter': 66, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16as', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, -8, 12, -8, -8, 12, 22, -8, -8, -8, -8, 12, -8, 12, 2, 2, -8, 2, -8, -8, 2, 2, -8, 2, 2, 2, 8, -12, -12, 8, 8, -12, -22, 8, -12, 8, -12, 8, -12, 8, 8, 8, -2, 8, -2, -2, 8, -2, -2, -2, 8, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935378
    {'cdim': 16, 'counter': 67, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16at', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 22, -8, -8, 12, 12, -8, 12, -8, -8, -8, -8, 12, -8, 2, 2, 2, 2, 2, -8, 2, -8, -8, 2, 2, -8, -12, -12, -12, -12, 8, 8, 8, 8, 8, 8, 8, -12, -12, 8, -22, -2, -2, 8, -2, 8, -2, -2, -2, 8, 8, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935379
    {'cdim': 16, 'counter': 68, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.16au', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 32, 'qvalues': [32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, -8, 12, 12, -8, -8, -8, 12, -8, 12, 12, -8, -8, 12, -8, -8, -8, 2, 2, 2, 2, -8, 2, 2, 2, -8, 2, 8, 8, -22, 8, -12, -12, -12, 8, 8, -12, 8, -12, 8, 8, -12, -2, -2, -2, 8, -2, -2, 8, -2, -2, -2, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935380
    {'cdim': 32, 'counter': 69, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32a', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 64, 'qvalues': [64, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 4, 4, 4, 4, 4, 4, -16, 4, 4, -16, -16, 4, 4, 14, -1, -1, -1, -1, -1, 14, -1, -1, -1, -1, -1, -16, -16, -16, 4, 4, 4, 4, 4, -16, 4, 4, 4, 4, -16, 4, -1, -1, -1, 14, -1, -1, -1, -1, -1, -1, 14, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935382
    {'cdim': 32, 'counter': 70, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32b', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 64, 'qvalues': [64, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 4, 4, 4, -16, -16, -16, 4, 4, 4, 4, 4, 4, 4, -16, -1, 14, -1, -1, -1, -1, -1, -1, -1, -1, 14, -1, 4, 4, -16, -16, 4, 4, 4, -16, 4, 4, -16, 4, -16, 4, 4, -1, -1, -1, -1, -1, -1, 14, -1, -1, -1, -1, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935383
    {'cdim': 32, 'counter': 71, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32c', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 64, 'qvalues': [64, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -16, 4, -16, 4, 4, -16, 4, 4, -16, 4, 4, 4, -16, 4, -1, -1, -1, 14, -1, -1, -1, -1, -1, 14, -1, -1, 4, -16, 4, 4, 4, -16, 4, 4, 4, -16, 4, -16, -16, 4, 4, -1, 14, -1, -1, -1, -1, -1, 14, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935384
    {'cdim': 32, 'counter': 72, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32d', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 64, 'qvalues': [64, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -16, -16, 4, 4, 4, 4, 4, 4, -16, 4, -16, 4, -16, -1, -1, -1, -1, -1, -1, -1, 14, -1, -1, -1, 14, 4, 4, 4, 4, -16, -16, 4, 4, -16, 4, -16, 4, 4, 4, -16, -1, -1, -1, -1, 14, -1, -1, -1, 14, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935385
    {'cdim': 32, 'counter': 73, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32e', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 64, 'qvalues': [64, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -16, 4, -16, 4, 4, -16, 4, -16, 4, -16, 4, 4, 4, -1, -1, -1, -1, -1, 14, -1, -1, 14, -1, -1, -1, 4, 4, 4, 4, 4, 4, -16, -16, 4, -16, 4, 4, 4, -16, -16, -1, -1, 14, -1, -1, -1, -1, -1, -1, 14, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935386
    {'cdim': 32, 'counter': 74, 'faithful': False, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32f', 'multiplicity': 2, 'nt': [80, 0], 'qdim': 64, 'qvalues': [64, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -16, 4, -16, -16, 4, -16, 4, 4, -16, 4, -1, -1, 14, -1, 14, -1, -1, -1, -1, -1, -1, -1, -16, 4, 4, -16, -16, 4, -16, 4, 4, 4, 4, -16, 4, 4, 4, 14, -1, -1, -1, -1, 14, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935387
    {'cdim': 32, 'counter': 75, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32g', 'multiplicity': 2, 'nt': [160, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 4, 4, 4, 4, 4, 4, -16, 4, 4, -16, -16, 4, 4, 14, -1, -1, -1, -1, -1, 14, -1, -1, -1, -1, -1, 16, 16, 16, -4, -4, -4, -4, -4, 16, -4, -4, -4, -4, 16, -4, 1, 1, 1, -14, 1, 1, 1, 1, 1, 1, -14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935388
    {'cdim': 32, 'counter': 76, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32h', 'multiplicity': 2, 'nt': [160, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 4, 4, 4, -16, -16, -16, 4, 4, 4, 4, 4, 4, 4, -16, -1, 14, -1, -1, -1, -1, -1, -1, -1, -1, 14, -1, -4, -4, 16, 16, -4, -4, -4, 16, -4, -4, 16, -4, 16, -4, -4, 1, 1, 1, 1, 1, 1, -14, 1, 1, 1, 1, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935389
    {'cdim': 32, 'counter': 77, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32i', 'multiplicity': 2, 'nt': [160, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -16, 4, -16, 4, 4, -16, 4, 4, -16, 4, 4, 4, -16, 4, -1, -1, -1, 14, -1, -1, -1, -1, -1, 14, -1, -1, -4, 16, -4, -4, -4, 16, -4, -4, -4, 16, -4, 16, 16, -4, -4, 1, -14, 1, 1, 1, 1, 1, -14, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935390
    {'cdim': 32, 'counter': 78, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32j', 'multiplicity': 2, 'nt': [160, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -16, -16, 4, 4, 4, 4, 4, 4, -16, 4, -16, 4, -16, -1, -1, -1, -1, -1, -1, -1, 14, -1, -1, -1, 14, -4, -4, -4, -4, 16, 16, -4, -4, 16, -4, 16, -4, -4, -4, 16, 1, 1, 1, 1, -14, 1, 1, 1, -14, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935391
    {'cdim': 32, 'counter': 79, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32k', 'multiplicity': 2, 'nt': [160, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -16, 4, -16, 4, 4, -16, 4, -16, 4, -16, 4, 4, 4, -1, -1, -1, -1, -1, 14, -1, -1, 14, -1, -1, -1, -4, -4, -4, -4, -4, -4, 16, 16, -4, 16, -4, -4, -4, 16, 16, 1, 1, -14, 1, 1, 1, 1, 1, 1, -14, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 15935393
    {'cdim': 32, 'counter': 80, 'faithful': True, 'group': '40000.op', 'group_order': 40000, 'image': None, 'label': '40000.op.32l', 'multiplicity': 2, 'nt': [160, 0], 'qdim': 64, 'qvalues': [64, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -16, 4, -16, -16, 4, -16, 4, 4, -16, 4, -1, -1, 14, -1, 14, -1, -1, -1, -1, -1, -1, -1, 16, -4, -4, 16, 16, -4, 16, -4, -4, -4, -4, 16, -4, -4, -4, -14, 1, 1, 1, 1, -14, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 35956990
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 40000, 'label': '40000.op.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35957011
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 20000, 'label': '40000.op.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35957022
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 20000, 'label': '40000.op.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 35957033
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 20000, 'label': '40000.op.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 35957044
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1', 'kernel_order': 20000, 'label': '40000.op.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35957055
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 20000, 'label': '40000.op.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35957066
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 20000, 'label': '40000.op.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 35957077
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 20000, 'label': '40000.op.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 35957088
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 20000, 'label': '40000.op.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35956991
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 20000, 'label': '40000.op.1j', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35957002
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 20000, 'label': '40000.op.1k', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 35957003
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 20000, 'label': '40000.op.1l', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 35957004
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 20000, 'label': '40000.op.1m', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 35957005
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 20000, 'label': '40000.op.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 35957006
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 20000, 'label': '40000.op.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 35957007
    {'center': '1.a1', 'center_index': 1, 'center_order': 40000, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 20000, 'label': '40000.op.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 35957008
    {'center': '4.i1', 'center_index': 4, 'center_order': 10000, 'counter': 17, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1', 'kernel_order': 2500, 'label': '40000.op.2a1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]]]}
  • id: 35957009
    {'center': '4.i1', 'center_index': 4, 'center_order': 10000, 'counter': 18, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1', 'kernel_order': 2500, 'label': '40000.op.2a2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]]]}
  • id: 35957010
    {'center': '4.i1', 'center_index': 4, 'center_order': 10000, 'counter': 19, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1', 'kernel_order': 2500, 'label': '40000.op.2b1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]]]}
  • id: 35957012
    {'center': '4.i1', 'center_index': 4, 'center_order': 10000, 'counter': 20, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1', 'kernel_order': 2500, 'label': '40000.op.2b2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]]]}
  • id: 35957013
    {'center': '4.n1', 'center_index': 4, 'center_order': 10000, 'counter': 21, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1', 'kernel_order': 2500, 'label': '40000.op.2c1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957014
    {'center': '4.n1', 'center_index': 4, 'center_order': 10000, 'counter': 22, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1', 'kernel_order': 2500, 'label': '40000.op.2c2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957015
    {'center': '4.n1', 'center_index': 4, 'center_order': 10000, 'counter': 23, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1', 'kernel_order': 2500, 'label': '40000.op.2d1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957016
    {'center': '4.n1', 'center_index': 4, 'center_order': 10000, 'counter': 24, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1', 'kernel_order': 2500, 'label': '40000.op.2d2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957017
    {'center': '16.a1', 'center_index': 16, 'center_order': 2500, 'counter': 25, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '32.50', 'image_order': 32, 'indicator': -1, 'kernel': '32.a1', 'kernel_order': 1250, 'label': '40000.op.4a', 'nt': [16, 20], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957018
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 26, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16a', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957047
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 52, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16aa', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]]]}
  • id: 35957048
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 53, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16ab', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957049
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 54, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16ac', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957050
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 55, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16ad', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957051
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 56, 'cyclotomic_n': 1, 'dim': 16, 'faithful': True, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ae', 'nt': [40, 15272], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957052
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 57, 'cyclotomic_n': 1, 'dim': 16, 'faithful': True, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16af', 'nt': [40, 15272], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957053
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 58, 'cyclotomic_n': 1, 'dim': 16, 'faithful': True, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ag', 'nt': [40, 15272], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957054
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 59, 'cyclotomic_n': 1, 'dim': 16, 'faithful': True, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ah', 'nt': [40, 15272], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957056
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 60, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ai1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]]]}
  • id: 35957057
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 61, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ai2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]]]}
  • id: 35957058
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 62, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16aj1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-11, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[3, 1]]]}
  • id: 35957059
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 63, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16aj2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-11, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-3, 1]]]}
  • id: 35957060
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 64, 'cyclotomic_n': 20, 'dim': 16, 'faithful': True, 'field': [5, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ak1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-11, 0]], [[-6, 0]], [[-6, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3], [2, 5], [-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3], [-2, 5], [4, 7]], [[0, 0]], [[2, 3], [-1, 5], [2, 7]], [[0, 0]], [[-2, 3], [1, 5], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957061
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 65, 'cyclotomic_n': 20, 'dim': 16, 'faithful': True, 'field': [5, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ak2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-11, 0]], [[-6, 0]], [[-6, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 3], [-2, 5], [4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 3], [2, 5], [-4, 7]], [[0, 0]], [[-2, 3], [1, 5], [-2, 7]], [[0, 0]], [[2, 3], [-1, 5], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957062
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 66, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16al1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-11, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 1]], [[0, 0]], [[5, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957063
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 67, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16al2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-11, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 1]], [[0, 0]], [[-5, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957064
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 68, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16am1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]]]}
  • id: 35957065
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 69, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16am2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]]]}
  • id: 35957067
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 70, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16an1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-3, 1]], [[0, 0]], [[3, 1]], [[0, 0]]]}
  • id: 35957068
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 71, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16an2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[3, 1]], [[0, 0]], [[-3, 1]], [[0, 0]]]}
  • id: 35957069
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 72, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ao1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 2], [4, -2]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 2], [-4, -2]], [[0, 0]], [[-1, 0], [-2, 2], [-2, -2]], [[1, 0], [2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957070
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 73, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ao2', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 2], [-4, -2]], [[0, 0]], [[0, 0]], [[2, 0], [4, 2], [4, -2]], [[0, 0]], [[1, 0], [2, 2], [2, -2]], [[-1, 0], [-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957071
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 74, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ap1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-3, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]]]}
  • id: 35957072
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 75, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ap2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[3, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]]]}
  • id: 35957073
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 76, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16aq1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-2, 1]]]}
  • id: 35957074
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 77, 'cyclotomic_n': 4, 'dim': 16, 'faithful': True, 'field': [1, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16aq2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[2, 1]]]}
  • id: 35957075
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 78, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ar1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 2], [-2, -2]], [[0, 0]], [[2, 0], [4, 2], [4, -2]], [[-2, 0], [-4, 2], [-4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957076
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 79, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16ar2', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[1, 0], [2, 2], [2, -2]], [[0, 0]], [[-2, 0], [-4, 2], [-4, -2]], [[2, 0], [4, 2], [4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957078
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 80, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16as1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0], [2, 2], [2, -2]], [[-2, 0], [-4, 2], [-4, -2]], [[0, 0]], [[0, 0]], [[2, 0], [4, 2], [4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957079
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 81, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16as2', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0], [-2, 2], [-2, -2]], [[2, 0], [4, 2], [4, -2]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 2], [-4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957080
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 82, 'cyclotomic_n': 20, 'dim': 16, 'faithful': True, 'field': [5, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16at1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [1, 5], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-1, 5], [2, 7]], [[0, 0]], [[-4, 3], [2, 5], [-4, 7]], [[0, 0]], [[4, 3], [-2, 5], [4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957081
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 83, 'cyclotomic_n': 20, 'dim': 16, 'faithful': True, 'field': [5, 0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 0, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16at2', 'nt': [80, 2], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[-11, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-1, 5], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [1, 5], [-2, 7]], [[0, 0]], [[4, 3], [-2, 5], [4, 7]], [[0, 0]], [[-4, 3], [2, 5], [-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957082
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 84, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16au1', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[2, 0], [4, 2], [4, -2]], [[1, 0], [2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 2], [-4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957083
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 85, 'cyclotomic_n': 5, 'dim': 16, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.16au2', 'nt': [80, 0], 'q_character': None, 'values': [[[16, 0]], [[-16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-11, 0]], [[4, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[-6, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-2, 0], [-4, 2], [-4, -2]], [[-1, 0], [-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[1, 0], [2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 2], [4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957019
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 27, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16b', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957020
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 28, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16c', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[3, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957021
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 29, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16d', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]]]}
  • id: 35957023
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 30, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16e', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]]]}
  • id: 35957024
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 31, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16f', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]]]}
  • id: 35957025
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 32, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16g', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[3, 0]]]}
  • id: 35957026
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 33, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16h', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]]]}
  • id: 35957027
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 34, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16i', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[-2, 0]]]}
  • id: 35957028
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 35, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16j', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957029
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 36, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16k', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957030
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 37, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16l', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[-2, 0]], [[3, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957031
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 38, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16m', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[3, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957032
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 39, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16n', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957034
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 40, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16o', 'nt': [20, 507], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[3, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957035
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 41, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16p', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957036
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 42, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16q', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957037
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 43, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16r', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[-3, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957038
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 44, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16s', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957039
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 45, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16t', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957040
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 46, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16u', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957041
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 47, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16v', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-3, 0]]]}
  • id: 35957042
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 48, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16w', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]]]}
  • id: 35957043
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 49, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16x', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[2, 0]]]}
  • id: 35957045
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 50, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16y', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[11, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]]]}
  • id: 35957046
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 51, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.16z', 'nt': [40, 11081], 'q_character': None, 'values': [[[16, 0]], [[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[1, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[11, 0]], [[-4, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[-4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]]]}
  • id: 35957084
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 86, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32a1', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957085
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 87, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32a2', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957086
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 88, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32b1', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957087
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 89, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32b2', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957089
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 90, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32c1', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957090
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 91, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32c2', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957091
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 92, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32d1', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957092
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 93, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32d2', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957093
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 94, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32e1', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957094
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 95, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32e2', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957095
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 96, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32f1', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957096
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 97, 'cyclotomic_n': 5, 'dim': 32, 'faithful': False, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '20000.bq', 'image_order': 20000, 'indicator': 1, 'kernel': '20000.a1', 'kernel_order': 2, 'label': '40000.op.32f2', 'nt': [80, 0], 'q_character': None, 'values': [[[32, 0]], [[32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957097
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 98, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32g1', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[8, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957098
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 99, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32g2', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[8, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956992
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 100, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32h1', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956993
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 101, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32h2', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956994
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 102, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32i1', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956995
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 103, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32i2', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956996
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 104, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32j1', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956997
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 105, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32j2', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956998
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 106, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32k1', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35956999
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 107, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32k2', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957000
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 108, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32l1', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-7, 0]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 35957001
    {'center': '20000.a1', 'center_index': 20000, 'center_order': 2, 'counter': 109, 'cyclotomic_n': 5, 'dim': 32, 'faithful': True, 'field': [-1, -1, 1], 'group': '40000.op', 'group_counter': 380, 'group_order': 40000, 'image': None, 'image_isoclass': '40000.op', 'image_order': 40000, 'indicator': 1, 'kernel': '40000.a1', 'kernel_order': 1, 'label': '40000.op.32l2', 'nt': [160, 0], 'q_character': None, 'values': [[[32, 0]], [[-32, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-8, 0]], [[2, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[7, 0]], [[-3, 0], [-5, 2], [-5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[2, 0], [5, 2], [5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[-3, 0], [-5, 2], [-5, -2]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[8, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[8, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-7, 0]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[3, 0], [5, 2], [5, -2]], [[3, 0], [5, 2], [5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[-2, 0], [-5, 2], [-5, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 205608578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 40000, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '40000.op.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40000.op', 'subgroup_hash': 5404774503301586381, 'subgroup_order': 40000, 'subgroup_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 205608689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 20000, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20000.dd', 'subgroup_hash': 6843109241720104779, 'subgroup_order': 20000, 'subgroup_tex': 'C_5^4.C_4^2:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 205608800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 20000, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20000.cv', 'subgroup_hash': 3620723381527745687, 'subgroup_order': 20000, 'subgroup_tex': 'C_5^4:(C_4^2:C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 205608911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 20000, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20000.ex', 'subgroup_hash': 4663320497615266531, 'subgroup_order': 20000, 'subgroup_tex': 'C_5^2:C_{10}^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205609022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 20000, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20000.cx', 'subgroup_hash': 5538433115116158703, 'subgroup_order': 20000, 'subgroup_tex': '(\\SO(3,7)\\times S_4^2).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 205609133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 20000, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20000.cz', 'subgroup_hash': 1163251721338234539, 'subgroup_order': 20000, 'subgroup_tex': 'C_5^4:(C_4\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 205609220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 20000, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20000.ez', 'subgroup_hash': 3304690636727983851, 'subgroup_order': 20000, 'subgroup_tex': 'C_5^4:(C_4\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 205609231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 20000, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.g1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20000.cw', 'subgroup_hash': 6814333289970549627, 'subgroup_order': 20000, 'subgroup_tex': 'C_5^4.(C_4\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 205609242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 20000, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.2.h1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20000.ev', 'subgroup_hash': 4839797438217856737, 'subgroup_order': 20000, 'subgroup_tex': 'C_5^3:C_{20}:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dn', 'subgroup_hash': 1940096544824645074, 'subgroup_order': 10000, 'subgroup_tex': '(C_5^3\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dn', 'subgroup_hash': 1940096544824645074, 'subgroup_order': 10000, 'subgroup_tex': '(C_5^3\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608601
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.db', 'subgroup_hash': 8211578195758092488, 'subgroup_order': 10000, 'subgroup_tex': 'C_5^4:(C_2^2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 205608612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dc', 'subgroup_hash': 7074205137381632601, 'subgroup_order': 10000, 'subgroup_tex': 'C_5^2:C_{10}^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 10000, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dm', 'subgroup_hash': 922319746649582764, 'subgroup_order': 10000, 'subgroup_tex': '\\SO(3,7)\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 205608634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dl', 'subgroup_hash': 733537494752597021, 'subgroup_order': 10000, 'subgroup_tex': '(C_5^3\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608645
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dd', 'subgroup_hash': 802282570965152944, 'subgroup_order': 10000, 'subgroup_tex': 'C_5^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608656
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dd', 'subgroup_hash': 802282570965152944, 'subgroup_order': 10000, 'subgroup_tex': 'C_5^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 10000, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dl', 'subgroup_hash': 733537494752597021, 'subgroup_order': 10000, 'subgroup_tex': '(C_5^3\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608678
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 10000, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.dd', 'subgroup_hash': 802282570965152944, 'subgroup_order': 10000, 'subgroup_tex': 'C_5^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.da', 'subgroup_hash': 2122717807616973055, 'subgroup_order': 10000, 'subgroup_tex': 'C_5^3:C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.cv', 'subgroup_hash': 2472626568169961741, 'subgroup_order': 10000, 'subgroup_tex': '(C_5^3\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 10000, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.cu', 'subgroup_hash': 3053030512225996133, 'subgroup_order': 10000, 'subgroup_tex': 'C_2\\times C_5^4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 10000, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.cv', 'subgroup_hash': 2472626568169961741, 'subgroup_order': 10000, 'subgroup_tex': '(C_5^3\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.cu', 'subgroup_hash': 3053030512225996133, 'subgroup_order': 10000, 'subgroup_tex': 'C_2\\times C_5^4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 10000, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.4.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10000.cv', 'subgroup_hash': 2472626568169961741, 'subgroup_order': 10000, 'subgroup_tex': '(C_5^3\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608756
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 5000, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3883165822646811248, 'subgroup_order': 5000, 'subgroup_tex': 'C_2\\times C_5^4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608767
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 5000, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1146531910714903499, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 205608778
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 5000, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1146531910714903499, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 205608789
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 5000, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6932363622901003551, 'subgroup_order': 5000, 'subgroup_tex': 'C_2\\times C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608801
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 5000, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6932363622901003551, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 205608812
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 5000, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6932363622901003551, 'subgroup_order': 5000, 'subgroup_tex': 'C_2\\times C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608823
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 5000, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6932363622901003551, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 205608834
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 5000, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6932363622901003551, 'subgroup_order': 5000, 'subgroup_tex': 'C_2\\times C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608845
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2500, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5000.cn', 'subgroup_hash': 1434454452020584175, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 205608856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2500, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5000.cq', 'subgroup_hash': 8404010099029526943, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2500, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5000.cl', 'subgroup_hash': 8115905011236845273, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2500, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5000.cl', 'subgroup_hash': 8115905011236845273, 'subgroup_order': 5000, 'subgroup_tex': 'C_5^4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608889
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 2500, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4', 'D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4453124575806904111, 'subgroup_order': 2500, 'subgroup_tex': 'C_2\\times C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608900
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2500, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3234940405981053402, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608912
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2500, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3234940405981053402, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608923
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1250, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500.l', 'subgroup_hash': 8995342432805971359, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608934
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1250, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500.k', 'subgroup_hash': 5581170375122352084, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608945
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1250, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2500.k', 'subgroup_hash': 5581170375122352084, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608956
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1250, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6618625182802213383, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1250, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6618625182802213383, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608978
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1250, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3234940405981053402, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608989
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1250, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3234940405981053402, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609000
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1250, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3234940405981053402, 'subgroup_order': 2500, 'subgroup_tex': 'C_5^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609011
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000.932', 'subgroup_hash': 932, 'subgroup_order': 2000, 'subgroup_tex': '(C_5\\times D_{10}):F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000.656', 'subgroup_hash': 656, 'subgroup_order': 2000, 'subgroup_tex': '(C_5\\times D_{10}):F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609034
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000.655', 'subgroup_hash': 655, 'subgroup_order': 2000, 'subgroup_tex': 'C_5^3:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609045
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000.655', 'subgroup_hash': 655, 'subgroup_order': 2000, 'subgroup_tex': 'C_5^3:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000.655', 'subgroup_hash': 655, 'subgroup_order': 2000, 'subgroup_tex': 'C_5^3:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2000.657', 'subgroup_hash': 657, 'subgroup_order': 2000, 'subgroup_tex': 'C_5:C_{20}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': True, 'core_order': 1250, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.50', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'C5', 'F', 'S', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1250.15', 'subgroup_hash': 15, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^3\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609089
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1250, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': 54, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1250, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '40000.op.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1250.54', 'subgroup_hash': 54, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609111
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 625, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1250.53', 'subgroup_hash': 53, 'subgroup_order': 1250, 'subgroup_tex': 'C_5^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.194', 'subgroup_hash': 194, 'subgroup_order': 1000, 'subgroup_tex': 'C_{10}:D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609134
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.194', 'subgroup_hash': 194, 'subgroup_order': 1000, 'subgroup_tex': 'C_{10}:D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609145
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.136', 'subgroup_hash': 136, 'subgroup_order': 1000, 'subgroup_tex': 'C_{10}.D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609156
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.136', 'subgroup_hash': 136, 'subgroup_order': 1000, 'subgroup_tex': 'C_{10}.D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.136', 'subgroup_hash': 136, 'subgroup_order': 1000, 'subgroup_tex': 'C_{10}.D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.136', 'subgroup_hash': 136, 'subgroup_order': 1000, 'subgroup_tex': 'C_{10}.D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.189', 'subgroup_hash': 189, 'subgroup_order': 1000, 'subgroup_tex': 'C_2\\times C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609227
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.40.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1000.170', 'subgroup_hash': 170, 'subgroup_order': 1000, 'subgroup_tex': 'C_5^3:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 205609228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.973', 'subgroup_hash': 973, 'subgroup_order': 800, 'subgroup_tex': '(D_5\\times D_{10}).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 205609229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.965', 'subgroup_hash': 965, 'subgroup_order': 800, 'subgroup_tex': 'D_5^2.(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 205609230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.971', 'subgroup_hash': 971, 'subgroup_order': 800, 'subgroup_tex': '(D_5\\times D_{10}).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 205609232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.966', 'subgroup_hash': 966, 'subgroup_order': 800, 'subgroup_tex': 'C_5^2:(C_4\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 205609233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.1064', 'subgroup_hash': 1064, 'subgroup_order': 800, 'subgroup_tex': 'C_{10}^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205609234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.967', 'subgroup_hash': 967, 'subgroup_order': 800, 'subgroup_tex': 'C_5^2:(C_4\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 205609235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.1061', 'subgroup_hash': 1061, 'subgroup_order': 800, 'subgroup_tex': 'C_4\\times C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205609236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.50.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '800.1062', 'subgroup_hash': 1062, 'subgroup_order': 800, 'subgroup_tex': '(C_5\\times C_{20}):Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205609237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': True, 'core_order': 625, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 5, 'label': '40000.op.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.237', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 237, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'D2', 'C6', 'L2', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': 15, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 5}
  • id: 205609238
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.53', 'subgroup_hash': 53, 'subgroup_order': 500, 'subgroup_tex': 'D_{10}\\times C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609239
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.53', 'subgroup_hash': 53, 'subgroup_order': 500, 'subgroup_tex': 'D_{10}\\times C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609240
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.54', 'subgroup_hash': 54, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609241
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.54', 'subgroup_hash': 54, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609245
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609247
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609248
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609249
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.55', 'subgroup_hash': 55, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.37', 'subgroup_hash': 37, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205609252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.37', 'subgroup_hash': 37, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608580
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.38', 'subgroup_hash': 38, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608581
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.38', 'subgroup_hash': 38, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608582
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.37', 'subgroup_hash': 37, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608583
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.37', 'subgroup_hash': 37, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608584
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.38', 'subgroup_hash': 38, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608585
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.38', 'subgroup_hash': 38, 'subgroup_order': 500, 'subgroup_tex': 'C_5^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608586
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.51', 'subgroup_hash': 51, 'subgroup_order': 500, 'subgroup_tex': 'C_5:D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608587
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.51', 'subgroup_hash': 51, 'subgroup_order': 500, 'subgroup_tex': 'C_5:D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608588
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.51', 'subgroup_hash': 51, 'subgroup_order': 500, 'subgroup_tex': 'C_5:D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608589
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.51', 'subgroup_hash': 51, 'subgroup_order': 500, 'subgroup_tex': 'C_5:D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608591
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608592
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608593
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608594
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608595
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608596
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608597
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608598
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608599
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608600
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608602
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.80.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '500.49', 'subgroup_hash': 49, 'subgroup_order': 500, 'subgroup_tex': 'C_5^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.129', 'subgroup_hash': 129, 'subgroup_order': 400, 'subgroup_tex': 'D_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.129', 'subgroup_hash': 129, 'subgroup_order': 400, 'subgroup_tex': 'D_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.129', 'subgroup_hash': 129, 'subgroup_order': 400, 'subgroup_tex': 'D_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.129', 'subgroup_hash': 129, 'subgroup_order': 400, 'subgroup_tex': 'D_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.129', 'subgroup_hash': 129, 'subgroup_order': 400, 'subgroup_tex': 'D_5^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608608
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.210', 'subgroup_hash': 210, 'subgroup_order': 400, 'subgroup_tex': 'D_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608609
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.210', 'subgroup_hash': 210, 'subgroup_order': 400, 'subgroup_tex': 'D_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.125', 'subgroup_hash': 125, 'subgroup_order': 400, 'subgroup_tex': 'D_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.125', 'subgroup_hash': 125, 'subgroup_order': 400, 'subgroup_tex': 'D_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.211', 'subgroup_hash': 211, 'subgroup_order': 400, 'subgroup_tex': 'D_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 205608614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.211', 'subgroup_hash': 211, 'subgroup_order': 400, 'subgroup_tex': 'D_5^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 205608615
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.217', 'subgroup_hash': 217, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.162', 'subgroup_hash': 162, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.130', 'subgroup_hash': 130, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.130', 'subgroup_hash': 130, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608619
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.124', 'subgroup_hash': 124, 'subgroup_order': 400, 'subgroup_tex': 'C_5^2:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608620
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.124', 'subgroup_hash': 124, 'subgroup_order': 400, 'subgroup_tex': 'C_5^2:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608621
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.124', 'subgroup_hash': 124, 'subgroup_order': 400, 'subgroup_tex': 'C_5^2:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608622
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.124', 'subgroup_hash': 124, 'subgroup_order': 400, 'subgroup_tex': 'C_5^2:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.130', 'subgroup_hash': 130, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.130', 'subgroup_hash': 130, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 205608626
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.158', 'subgroup_hash': 158, 'subgroup_order': 400, 'subgroup_tex': 'C_{20}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608627
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.158', 'subgroup_hash': 158, 'subgroup_order': 400, 'subgroup_tex': 'C_{20}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608628
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.124', 'subgroup_hash': 124, 'subgroup_order': 400, 'subgroup_tex': 'C_5^2:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608629
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.124', 'subgroup_hash': 124, 'subgroup_order': 400, 'subgroup_tex': 'C_5^2:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.126', 'subgroup_hash': 126, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}.(C_2\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 205608631
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.158', 'subgroup_hash': 158, 'subgroup_order': 400, 'subgroup_tex': 'C_{20}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.159', 'subgroup_hash': 159, 'subgroup_order': 400, 'subgroup_tex': 'C_{20}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.212', 'subgroup_hash': 212, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.212', 'subgroup_hash': 212, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.212', 'subgroup_hash': 212, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.212', 'subgroup_hash': 212, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.212', 'subgroup_hash': 212, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.100.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.134', 'subgroup_hash': 134, 'subgroup_order': 400, 'subgroup_tex': '(C_5\\times C_{10}).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608648
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608649
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608650
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608651
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608652
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608653
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608654
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608655
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.15', 'subgroup_hash': 15, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608657
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.12', 'subgroup_hash': 12, 'subgroup_order': 250, 'subgroup_tex': 'D_5\\times C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608658
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.12', 'subgroup_hash': 12, 'subgroup_order': 250, 'subgroup_tex': 'D_5\\times C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608659
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.13', 'subgroup_hash': 13, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608660
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.13', 'subgroup_hash': 13, 'subgroup_order': 250, 'subgroup_tex': 'C_5^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608661
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608662
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608663
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608664
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608665
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608666
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608668
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608669
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608670
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608671
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608672
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608673
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608674
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608675
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608676
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608677
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.160.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '250.14', 'subgroup_hash': 14, 'subgroup_order': 250, 'subgroup_tex': 'C_5^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205608679
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.49', 'subgroup_hash': 49, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608680
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.49', 'subgroup_hash': 49, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608681
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.49', 'subgroup_hash': 49, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608682
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.49', 'subgroup_hash': 49, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608683
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.49', 'subgroup_hash': 49, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608684
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.49', 'subgroup_hash': 49, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608685
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.51', 'subgroup_hash': 51, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608686
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608687
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608688
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608691
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608692
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608693
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608694
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.33', 'subgroup_hash': 33, 'subgroup_order': 200, 'subgroup_tex': 'C_{20}:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608695
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608696
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608697
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608698
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608699
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.23', 'subgroup_hash': 23, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608700
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.33', 'subgroup_hash': 33, 'subgroup_order': 200, 'subgroup_tex': 'C_{20}:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608702
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608703
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608704
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608705
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.47', 'subgroup_hash': 47, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608707
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608708
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608709
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608710
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608711
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608713
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608714
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608715
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.47', 'subgroup_hash': 47, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608716
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608717
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608718
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608719
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.47', 'subgroup_hash': 47, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608720
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608721
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608722
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608724
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608725
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608726
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608727
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608728
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608729
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.47', 'subgroup_hash': 47, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608730
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608731
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608732
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608733
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608735
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608736
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608737
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608738
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608739
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608740
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.47', 'subgroup_hash': 47, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608741
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608742
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608743
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.42', 'subgroup_hash': 42, 'subgroup_order': 200, 'subgroup_tex': 'D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608744
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.42', 'subgroup_hash': 42, 'subgroup_order': 200, 'subgroup_tex': 'D_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.43', 'subgroup_hash': 43, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 205608747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.43', 'subgroup_hash': 43, 'subgroup_order': 200, 'subgroup_tex': 'D_5\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 205608748
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.48', 'subgroup_hash': 48, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.44', 'subgroup_hash': 44, 'subgroup_order': 200, 'subgroup_tex': 'C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.44', 'subgroup_hash': 44, 'subgroup_order': 200, 'subgroup_tex': 'C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.44', 'subgroup_hash': 44, 'subgroup_order': 200, 'subgroup_tex': 'C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.44', 'subgroup_hash': 44, 'subgroup_order': 200, 'subgroup_tex': 'C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.200.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.44', 'subgroup_hash': 44, 'subgroup_order': 200, 'subgroup_tex': 'C_5^2:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 205608754
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608755
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608757
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608758
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608759
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608760
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608761
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608762
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.320.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '320.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': 5, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 205608763
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608764
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.14', 'subgroup_hash': 14, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608765
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.14', 'subgroup_hash': 14, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608766
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.14', 'subgroup_hash': 14, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608768
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.14', 'subgroup_hash': 14, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608769
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.14', 'subgroup_hash': 14, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608770
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.14', 'subgroup_hash': 14, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608771
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.14', 'subgroup_hash': 14, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608772
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608773
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608774
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608775
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608776
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608777
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608779
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608780
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608781
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608782
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608783
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608784
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608785
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608786
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608787
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608788
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608790
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608791
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608792
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.z2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.z2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608793
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608794
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608795
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608796
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608797
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608798
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.be2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.be2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608799
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608802
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608803
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608804
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608805
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608806
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608807
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608808
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608809
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608810
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bm3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bm3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608811
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bm4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bm4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608813
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608814
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608815
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608817
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608818
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608819
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608820
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608821
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.7', 'subgroup_hash': 7, 'subgroup_order': 100, 'subgroup_tex': 'C_5^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608822
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608824
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608825
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608826
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608827
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608828
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608829
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.6', 'subgroup_hash': 6, 'subgroup_order': 100, 'subgroup_tex': 'C_5:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205608830
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.7', 'subgroup_hash': 7, 'subgroup_order': 100, 'subgroup_tex': 'C_5^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608831
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608832
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608833
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608835
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608836
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608837
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608838
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608839
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608840
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608841
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608842
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608843
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.13', 'subgroup_hash': 13, 'subgroup_order': 100, 'subgroup_tex': 'D_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205608844
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608846
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.15', 'subgroup_hash': 15, 'subgroup_order': 100, 'subgroup_tex': 'C_5:D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608847
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608848
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608849
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608850
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608851
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608852
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.11', 'subgroup_hash': 11, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608853
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608854
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608855
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608857
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608858
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608859
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.11', 'subgroup_hash': 11, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608860
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608861
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608862
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608864
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608865
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608866
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608868
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608869
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608870
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.11', 'subgroup_hash': 11, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608871
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608872
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608873
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608874
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608875
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.11', 'subgroup_hash': 11, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608876
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608877
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608879
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608880
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608881
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608882
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608883
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608884
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608885
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.11', 'subgroup_hash': 11, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608886
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608887
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.400.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.12', 'subgroup_hash': 12, 'subgroup_order': 100, 'subgroup_tex': 'C_5:F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608888
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.500.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '500.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.50', 'subgroup_hash': 50, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.500.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '500.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.34', 'subgroup_hash': 34, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608891
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.500.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '500.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.30', 'subgroup_hash': 30, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608892
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.500.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '500.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.30', 'subgroup_hash': 30, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608893
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.500.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '500.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.30', 'subgroup_hash': 30, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.500.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '500.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.31', 'subgroup_hash': 31, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205608895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '40000.op.625.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '625.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.237', 'subgroup_hash': 237, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 2}
  • id: 205608896
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608899
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608904
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608905
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608906
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608907
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608908
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608909
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608910
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608913
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608914
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608915
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608916
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608917
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608918
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608919
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608920
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608921
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608922
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.v2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.v2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608925
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608926
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608928
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608929
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608930
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608931
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608932
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608933
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bd3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.bd3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bd4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.bd4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608936
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '800.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205608937
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608938
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608939
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608940
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608941
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608943
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 50, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.3', 'subgroup_hash': 3, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608944
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608946
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608947
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608948
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608949
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608950
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608951
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608952
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608954
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608955
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608957
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608958
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608959
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608960
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608961
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608962
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608963
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608964
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608965
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608966
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608970
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608971
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ci2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ci2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608972
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608974
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608976
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608977
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608979
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608980
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608981
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608982
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cq3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cq3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608983
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cq4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cq4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608985
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608986
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608987
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608988
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608990
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608991
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608992
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608993
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608994
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608995
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608996
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608997
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608998
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205608999
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609001
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609003
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609005
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609006
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609007
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609009
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609010
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609012
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609013
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609014
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609017
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609019
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.du2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.du2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609020
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.du3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.du3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609021
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.800.du4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.du4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.4', 'subgroup_hash': 4, 'subgroup_order': 50, 'subgroup_tex': 'C_5:D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609024
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609026
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609027
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609028
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609029
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.5', 'subgroup_hash': 5, 'subgroup_order': 40, 'subgroup_tex': 'C_4\\times D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609030
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609031
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609032
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609033
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609035
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609036
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609037
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609038
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609039
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609040
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609041
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609042
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1000.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1000.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.12', 'subgroup_hash': 12, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1250.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1250.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1250, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.35', 'subgroup_hash': 35, 'subgroup_order': 32, 'subgroup_tex': 'C_4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609052
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609053
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609054
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609055
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609057
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609058
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609059
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609060
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609061
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609062
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609063
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609064
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609066
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609068
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609069
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609070
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609071
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609074
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609075
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.v2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.v2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609079
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609080
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609081
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609082
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609084
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609087
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609088
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.bd3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.bd3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609090
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.1600.bd4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1600.bd4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609091
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2000.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609092
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2000.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609093
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609095
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609099
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609102
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609103
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609104
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 573, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.2000.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2000.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205609105
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 574, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.2000.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2000.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205609106
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609107
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609108
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 577, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.2000.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2000.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205609109
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 578, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.2000.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2000.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 205609110
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609112
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609113
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609117
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609118
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609119
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609120
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609121
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609123
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609124
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609125
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609126
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609127
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609128
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2000.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2000.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.3', 'subgroup_hash': 3, 'subgroup_order': 20, 'subgroup_tex': 'F_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609131
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609137
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609138
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.2500.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2500.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2500, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609148
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 612, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609149
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 613, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609150
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 614, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609151
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 615, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609152
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 616, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609153
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 2, 'counter': 617, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609154
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 618, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609155
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 2, 'counter': 619, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609157
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 1, 'counter': 620, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609158
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 1, 'counter': 621, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.4000.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4000.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 205609159
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609160
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609161
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609162
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609163
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609164
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609165
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609166
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609168
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609169
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609170
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609171
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609172
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609173
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609174
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609175
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609176
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609177
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.4000.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4000.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609179
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 205609180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609181
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609182
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609184
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609185
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609186
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.5000.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5000.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 205609192
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609193
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609194
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 654, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609195
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 655, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609196
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609197
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 2500, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609198
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609199
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 1250, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.8000.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8000.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 205609201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 2, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.10000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609202
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.10000.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609203
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 2, 'counter': 662, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.10000.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609204
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 2, 'counter': 663, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.10000.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609205
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.10000.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609206
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '40000.op.10000.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 205609207
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.10000.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609208
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.10000.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609209
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.10000.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609210
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.10000.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609212
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.10000.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10000.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 205609213
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': True, 'central_factor': False, 'centralizer_order': 40000, 'characteristic': True, 'core_order': 2, 'counter': 671, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '40000.op.20000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '20000.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20000.bq', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1018278098672428047, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 20000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^4:C_2.C_2^4', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U0', 'Z', 'Phi', 'U0'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609214
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.20000.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20000.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609215
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.20000.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20000.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609216
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '40000.op.20000.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20000.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 205609217
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '40000.op', 'ambient_counter': 380, 'ambient_order': 40000, 'ambient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'central': True, 'central_factor': False, 'centralizer_order': 40000, 'characteristic': True, 'core_order': 1, 'counter': 675, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '40000.op.40000.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40000.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '40000.op', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5404774503301586381, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 40000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(\\SO(3,7)\\times S_4^2).C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D3', 'C7', 'PC', 'U1', 'D3', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 205609020
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.du3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.v1', '400.bm3'], 'contains': ['1600.bd3', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4359, -1, 2267, -1], 'generators': [10000, 17920, 6784], 'label': '40000.op.800.du3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm3', 'old_label': '800.du3', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.du3', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205609021
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.du4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.v1', '400.bm4'], 'contains': ['1600.bd4', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4328, -1, 2307, -1], 'generators': [10000, 37120, 6784], 'label': '40000.op.800.du4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm4', 'old_label': '800.du4', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.du4', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205609084
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.e1', '320.h1', '800.bb1', '800.co1', '800.ds1'], 'contains': ['8000.e1', '8000.f1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8982, -1, 4663, -1], 'generators': [17984, 33600], 'label': '40000.op.1600.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.h1', 'old_label': '1600.bb1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.bb1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205609085
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.b1', '320.h1', '800.bc1', '800.cp1', '800.dt1'], 'contains': ['8000.f1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [6792, -1, 4090, -1], 'generators': [17984, 5120], 'label': '40000.op.1600.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '1600.bc1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.bc1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609086
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.a1', '320.b1', '800.bd1', '800.cq1', '800.du1'], 'contains': ['8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6626, -1, 3696, -1], 'generators': [27584, 6720], 'label': '40000.op.1600.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.bd1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.bd1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609087
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.bd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.a1', '320.b1', '800.bd2', '800.cq2', '800.du2'], 'contains': ['8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6604, -1, 3949, -1], 'generators': [8384, 17920], 'label': '40000.op.1600.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.bd2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.bd2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609088
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.bd3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.b1', '800.bd3', '800.cq3', '800.du3'], 'contains': ['8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6562, -1, 3878, -1], 'generators': [6784, 17920], 'label': '40000.op.1600.bd3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.bd3', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.bd3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609203
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '50.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.m1', '2000.n1', '2000.o1', '2000.p1', '5000.b1'], 'contains': ['20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8432, -1, 5599, -1], 'generators': [30154], 'label': '40000.op.10000.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '10000.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205609204
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '100.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2000.q1', '2000.r1', '2000.s1', '2000.t1', '5000.c1'], 'contains': ['20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9679, -1, 7723, -1], 'generators': [7233], 'label': '40000.op.10000.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '10000.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609205
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.u1', '2000.v1', '5000.a1', '5000.j1'], 'contains': ['20000.b1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [526, -1, 3307, -1], 'generators': [15945, 4], 'label': '40000.op.10000.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.e1', 'old_label': '10000.e1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609206
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.w1', '2000.x1', '5000.a1', '5000.i1'], 'contains': ['20000.b1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [493, -1, 638, -1], 'generators': [15945, 10000], 'label': '40000.op.10000.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.b1', 'old_label': '10000.f1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609207
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1250.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.y1', '2000.z1', '5000.e1', '5000.j1', '5000.k1'], 'contains': ['20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [7611, -1, 9505, -1], 'generators': [27113], 'label': '40000.op.10000.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '10000.g1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609208
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2000.ba1', '2000.bb1', '2000.bc1', '5000.g1', '5000.k1'], 'contains': ['20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 5000, 'diagramx': [3613, -1, 9250, -1], 'generators': [170], 'label': '40000.op.10000.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.f1', 'old_label': '10000.h1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608635
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.l1', '50.b1'], 'contains': ['200.w1', '200.bq1', '2500.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2356, -1, 5388, -1], 'generators': [22722, 8000, 34692, 12688, 38568, 3264], 'label': '40000.op.100.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '100.bd1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bd1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609209
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1250.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.bd1', '2000.be1', '5000.d1', '5000.i1', '5000.l1'], 'contains': ['20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [2693, -1, 547, -1], 'generators': [18556], 'label': '40000.op.10000.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '10000.i1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609210
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1250.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.bf1', '2000.bg1', '5000.f1', '5000.i1'], 'contains': ['20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [1361, -1, 691, -1], 'generators': [7393], 'label': '40000.op.10000.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.b1', 'old_label': '10000.j1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205608608
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.a1', '50.b1'], 'contains': ['200.b1', '200.w1', '200.bk1', '200.cf1', '500.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [997, -1, 3110, -1], 'generators': [7393, 17600, 10004, 15568, 168, 23424], 'label': '40000.op.100.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '100.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.f1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608636
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.l1', '50.h1'], 'contains': ['200.ba1', '200.bx1', '2500.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8540, -1, 6415, -1], 'generators': [28162, 33600, 34884, 36432, 16168, 11584], 'label': '40000.op.100.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '100.be1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.be1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608609
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.a1', '50.d1'], 'contains': ['200.c1', '200.y1', '200.bl1', '200.cg1', '500.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [140, -1, 3182, -1], 'generators': [7393, 8000, 10004, 15568, 28392, 17600], 'label': '40000.op.100.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '100.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.g1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608610
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.b1', '50.a1'], 'contains': ['200.d1', '200.bt1', '200.ca1', '500.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2788, -1, 4453, -1], 'generators': [20171, 24320, 10004, 35472, 16160, 8704], 'label': '40000.op.100.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '100.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.h1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608611
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.b1', '50.c1'], 'contains': ['200.f1', '200.bu1', '200.cc1', '500.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1973, -1, 4519, -1], 'generators': [33545, 32320, 10004, 12624, 11202, 17024], 'label': '40000.op.100.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '100.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.i1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608637
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.m1', '50.e1'], 'contains': ['200.v1', '200.by1', '200.cn1', '2500.m1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2285, -1, 3518, -1], 'generators': [21347, 8000, 10004, 27664, 32744, 320], 'label': '40000.op.100.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '100.bf1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bf1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608612
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.c1', '2.d1'], 'contains': ['8.a1', '8.g1', '8.h1', '20.b1'], 'core': '4.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [2451, 4965, 4626, 5083], 'generators': [6147, 17984, 9600, 17988, 16320, 8000, 160, 35984], 'label': '40000.op.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.c1', '2.d1'], 'normal_contains': ['8.a1', '8.g1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608613
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '50.d1'], 'contains': ['200.c1', '200.bb1', '200.ch1', '2500.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [27, -1, 7909, -1], 'generators': [37897, 8000, 26768, 7172, 160, 17600], 'label': '40000.op.100.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '100.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.j1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608614
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '50.c1'], 'contains': ['200.f1', '200.bc1', '200.ci1', '2500.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1059, -1, 8008, -1], 'generators': [33545, 320, 12496, 5508, 160, 2304], 'label': '40000.op.100.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '100.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.k1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608615
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.a1', '50.e1'], 'contains': ['200.g1', '200.v1', '200.bj1', '200.cj1', '500.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [483, -1, 2899, -1], 'generators': [7393, 25600, 10004, 15568, 24168, 2624], 'label': '40000.op.100.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '100.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.l1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608616
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.b1', '50.e1'], 'contains': ['200.g1', '200.bp1', '200.by1', '500.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1859, -1, 4111, -1], 'generators': [9673, 25600, 10004, 31376, 2, 13824], 'label': '40000.op.100.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '100.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.m1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608617
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '50.a1'], 'contains': ['200.i1', '200.p1', '200.ca1', '2500.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [5669, -1, 5962, -1], 'generators': [7233, 11520, 10004, 17168, 3170, 38784], 'label': '40000.op.100.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '100.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.n1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608618
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '50.f1'], 'contains': ['200.m1', '200.q1', '200.ce1', '2500.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [9974, -1, 6717, -1], 'generators': [7233, 9600, 10004, 17168, 3170, 11584], 'label': '40000.op.100.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '100.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.o1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608619
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.c1', '50.c1'], 'contains': ['200.j1', '200.bc1', '200.cc1', '500.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3851, -1, 6868, -1], 'generators': [27177, 32320, 15876, 16272, 28130, 32384], 'label': '40000.op.100.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '100.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.p1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608620
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.c1', '50.f1'], 'contains': ['200.m1', '200.bg1', '200.ce1', '500.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [9758, -1, 6652, -1], 'generators': [27113, 9600, 38852, 848, 13090, 30784], 'label': '40000.op.100.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '100.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.q1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608621
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.d1', '50.b1'], 'contains': ['200.h1', '200.bk1', '200.bq1', '500.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2665, -1, 5453, -1], 'generators': [7393, 17600, 10004, 15568, 21578, 23424], 'label': '40000.op.100.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '100.r1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.r1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608622
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.d1', '50.a1'], 'contains': ['200.i1', '200.bm1', '200.bt1', '500.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3292, -1, 5679, -1], 'generators': [32002, 14720, 33796, 16, 8, 6144], 'label': '40000.op.100.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '100.s1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.s1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608623
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '2.e1'], 'contains': ['8.a1', '8.e1', '8.j1', '100.j1', '100.k1'], 'core': '4.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [1885, 8949, 7909, 9163], 'generators': [37897, 13824, 17600, 10000, 16320, 8000, 160, 7172], 'label': '40000.op.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.d1', '2.e1'], 'normal_contains': ['8.a1', '8.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608624
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '50.b1'], 'contains': ['200.h1', '200.w1', '2500.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3430, -1, 5053, -1], 'generators': [3170, 17600, 10004, 10640, 23208, 5824], 'label': '40000.op.100.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '100.t1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.t1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608625
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1', '50.f1'], 'contains': ['200.m1', '200.z1', '2500.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9709, -1, 5233, -1], 'generators': [3170, 9600, 10004, 10640, 11688, 30784], 'label': '40000.op.100.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '100.u1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.u1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608626
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.c1', '50.g1'], 'contains': ['200.n1', '200.bd1', '200.cd1', '500.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8330, -1, 6578, -1], 'generators': [37033, 11520, 11844, 21840, 3170, 34304], 'label': '40000.op.100.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '100.v1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.v1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608627
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.d1', '50.g1'], 'contains': ['200.n1', '200.bo1', '200.bw1', '500.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [5707, -1, 5802, -1], 'generators': [7393, 14720, 10004, 15568, 21578, 35264], 'label': '40000.op.100.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '100.w1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.w1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608628
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.e1', '50.d1'], 'contains': ['200.o1', '200.y1', '200.bb1', '500.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [3556, -1, 7658, -1], 'generators': [35649, 8000, 10004, 9296, 168, 33600], 'label': '40000.op.100.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '100.x1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.x1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608629
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.e1', '50.f1'], 'contains': ['200.q1', '200.z1', '200.bg1', '500.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9935, -1, 7734, -1], 'generators': [13633, 9600, 10004, 9296, 168, 11584], 'label': '40000.op.100.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '100.y1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.y1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608630
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.f1', '50.a1'], 'contains': ['200.p1', '200.bt1', '200.bt2', '500.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3912, -1, 8086, -1], 'generators': [13633, 24320, 10004, 38672, 42, 24384], 'label': '40000.op.100.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '100.z1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.z1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608631
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.e1', '50.h1'], 'contains': ['200.t1', '200.ba1', '200.bh1', '500.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9571, -1, 7824, -1], 'generators': [7233, 33600, 10004, 9296, 168, 5184], 'label': '40000.op.100.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '100.ba1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.ba1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608632
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.f1', '50.h1'], 'contains': ['200.t1', '200.bx1', '500.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8894, -1, 8229, -1], 'generators': [7233, 33600, 10004, 22800, 170, 5184], 'label': '40000.op.100.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '100.bb1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bb1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608633
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.l1', '50.e1'], 'contains': ['200.v1', '200.bp1', '2500.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1937, -1, 5336, -1], 'generators': [21442, 25600, 14724, 3344, 8168, 13824], 'label': '40000.op.100.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '100.bc1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bc1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608634
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.g1'], 'contains': ['8.b1', '8.c1', '8.h1', '100.n1', '100.o1'], 'core': '4.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [5997, 4394, 5962, 4500], 'generators': [7233, 17984, 17600, 10004, 16320, 8000, 3170, 17168], 'label': '40000.op.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.a1', '2.g1'], 'normal_contains': ['8.b1', '8.c1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608596
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '40.g1'], 'contains': ['160.y1', '400.di1', '400.dm1', '400.dn1', '400.do1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [7825, -1, 2558, -1], 'generators': [18556, 24384, 33600, 9296, 8000], 'label': '40000.op.80.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '80.bd1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bd1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608597
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.c1', '40.h1', '40.r1'], 'contains': ['160.z1', '400.di1', '400.dj1', '400.dk1', '400.dl1', '400.dm1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [2439, -1, 1101, -1], 'generators': [18556, 2624, 25600, 9296, 8000], 'label': '40000.op.80.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '80.be1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.be1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608598
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.j1', '40.k1'], 'contains': ['160.w1', '400.dp1', '400.dr1', '400.dt1', '400.du1', '400.dv1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [2588, -1, 1289, -1], 'generators': [7393, 22464, 35520, 15568, 25600], 'label': '40000.op.80.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '80.bf1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bf1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608871
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.bd1', '200.z1', '200.co1'], 'contains': ['800.dq1', '2000.be1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [7950, -1, 2586, -1], 'generators': [18556, 32384, 9600, 9296], 'label': '40000.op.400.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '400.dn1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dn1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608872
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.bd1', '200.ba1'], 'contains': ['800.ds1', '2000.be1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8616, -1, 2850, -1], 'generators': [18556, 24384, 33600, 9296], 'label': '40000.op.400.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '400.do1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.do1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608599
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.j1', '40.l1', '40.r1'], 'contains': ['160.z1', '400.dp1', '400.dq1', '400.dr1', '400.ds1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [1625, -1, 558, -1], 'generators': [7393, 2304, 17600, 15568, 8000], 'label': '40000.op.80.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '80.bg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bg1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608600
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '40.p1'], 'contains': ['160.x1', '400.dw1', '400.dx1', '400.dy1', '400.dz1', '400.ea1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [3509, -1, 834, -1], 'generators': [30435, 34944, 16320, 9488, 17600], 'label': '40000.op.80.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.p1', 'old_label': '80.bh1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bh1', 'subgroup_fusion': None, 'weyl_group': '500.49'}
  • id: 205608601
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.c1', '2.e1'], 'contains': ['8.a1', '8.d1', '8.f1', '8.i1', '20.a1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2003, 3037, 4211, 3110], 'generators': [8, 24704, 25600, 10004, 14720, 8000, 160, 16], 'label': '40000.op.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.c1', '2.e1'], 'normal_contains': ['8.a1', '8.d1', '8.f1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608602
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '40.q1'], 'contains': ['160.ba1', '400.dx1', '400.ea1', '400.eb1', '400.ec1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [6984, -1, 1470, -1], 'generators': [8587, 9984, 5120, 7248, 33600], 'label': '40000.op.80.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '80.bi1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bi1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608603
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '50.b1'], 'contains': ['200.b1', '200.h1', '200.bq1', '2500.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2236, -1, 5617, -1], 'generators': [4682, 8000, 10004, 12176, 160, 11264], 'label': '40000.op.100.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '100.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.a1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608604
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '50.a1'], 'contains': ['200.d1', '200.i1', '200.bt2', '2500.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3154, -1, 5742, -1], 'generators': [6026, 24320, 10004, 15504, 160, 33024], 'label': '40000.op.100.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '100.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.b1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608605
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '50.c1'], 'contains': ['200.f1', '200.j1', '200.bu1', '2500.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2137, -1, 6311, -1], 'generators': [31498, 320, 10004, 10768, 160, 1984], 'label': '40000.op.100.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '100.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.c1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608606
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '50.d1'], 'contains': ['200.c1', '200.o1', '200.bl1', '2500.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [403, -1, 4168, -1], 'generators': [7233, 8000, 10004, 15568, 160, 9600], 'label': '40000.op.100.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '100.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.d1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608607
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '50.a1'], 'contains': ['200.d1', '200.p1', '200.bm1', '2500.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2733, -1, 4396, -1], 'generators': [7233, 24320, 10004, 15568, 160, 24384], 'label': '40000.op.100.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '100.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.e1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608578
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': ['40000.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1', '625.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2723, 5419, 6278, 5549], 'generators': [9600, 14720, 2, 10000, 160, 17984, 7233, 8, 10004, 8000], 'label': '40000.op.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608579
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.b1', '2.d1'], 'contains': ['8.a1', '8.b1', '8.g1', '100.a1', '100.b1', '100.c1'], 'core': '4.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2680, 2171, 5807, 2222], 'generators': [30154, 11264, 1600, 10004, 8320, 8000, 160, 15440], 'label': '40000.op.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.d1'], 'normal_contains': ['8.a1', '8.b1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608580
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '40.c1'], 'contains': ['160.c1', '400.bo1', '400.bp1', '400.br1', '400.bt1', '400.bv1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8083, -1, 4979, -1], 'generators': [3170, 10004, 34304, 17600, 11520], 'label': '40000.op.80.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '80.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.o1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205608581
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '40.d1'], 'contains': ['160.g1', '400.bq1', '400.bs1', '400.bu1', '400.bv1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8585, -1, 5414, -1], 'generators': [10314, 10004, 11264, 9600, 9920], 'label': '40000.op.80.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '80.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.p1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205608582
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '40.e1'], 'contains': ['160.e1', '400.bw1', '400.bx1', '400.bz1', '400.cb1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9787, -1, 7525, -1], 'generators': [7233, 8000, 10004, 6144, 33600], 'label': '40000.op.80.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '80.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.q1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608583
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '40.f1'], 'contains': ['160.h1', '400.bw1', '400.by1', '400.ca1', '400.cc1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [9456, -1, 7297, -1], 'generators': [7233, 9600, 10004, 30720, 38784], 'label': '40000.op.80.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '80.r1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.r1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608584
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '40.e1'], 'contains': ['160.e1', '400.bx1', '400.bz1', '400.ca1', '400.cd1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9838, -1, 7607, -1], 'generators': [7233, 10004, 17984, 8000, 33600], 'label': '40000.op.80.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1', 'old_label': '80.s1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.s1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205608585
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '40.f1'], 'contains': ['160.h1', '400.by1', '400.cb1', '400.cc1', '400.cd1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9405, -1, 7379, -1], 'generators': [7233, 10004, 17984, 38720, 33600], 'label': '40000.op.80.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '80.t1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.t1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205608586
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '40.a1'], 'contains': ['160.i1', '160.k1', '160.p1', '400.ce1', '400.ch1', '400.ci1', '400.cj1', '400.cq1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [644, -1, 2759, -1], 'generators': [15945, 13824, 6720, 27716, 17600], 'label': '40000.op.80.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '80.u1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.u1', 'subgroup_fusion': None, 'weyl_group': '500.51'}
  • id: 205608587
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '40.b1'], 'contains': ['160.j1', '160.l1', '160.r1', '400.ce1', '400.cf1', '400.cg1', '400.cq1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [271, -1, 2493, -1], 'generators': [16160, 9984, 8320, 39940, 1600], 'label': '40000.op.80.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '80.v1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.v1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608588
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.h1', '40.a1'], 'contains': ['160.i1', '160.k1', '160.x1', '400.ck1', '400.cn1', '400.co1', '400.cp1', '400.cr1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [867, -1, 935, -1], 'generators': [37897, 13824, 6720, 39568, 17600], 'label': '40000.op.80.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '80.w1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.w1', 'subgroup_fusion': None, 'weyl_group': '500.51'}
  • id: 205608589
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.h1', '40.b1', '40.r1'], 'contains': ['160.j1', '160.l1', '160.z1', '400.ck1', '400.cl1', '400.cm1', '400.cr1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [366, -1, 652, -1], 'generators': [20873, 39424, 25600, 39248, 8000], 'label': '40000.op.80.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '80.x1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.x1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608590
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.e1'], 'contains': ['8.a1', '8.c1', '8.f1', '100.d1', '100.e1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2286, 7240, 4458, 7413], 'generators': [7233, 17984, 9600, 10004, 16320, 8000, 160, 15568], 'label': '40000.op.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.e1'], 'normal_contains': ['8.a1', '8.c1', '8.f1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608591
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '40.i1'], 'contains': ['160.q1', '400.cs1', '400.cv1', '400.cx1', '400.cy1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [9166, -1, 9775, -1], 'generators': [27113, 38784, 33600, 38852, 8000], 'label': '40000.op.80.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '80.y1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.y1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608592
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.b1', '40.j1'], 'contains': ['160.s1', '400.ct1', '400.cu1', '400.cv1', '400.cw1', '400.cx1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [8947, -1, 9718, -1], 'generators': [5865, 1984, 3520, 31812, 9600], 'label': '40000.op.80.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '80.z1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.z1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608593
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.i1', '40.m1'], 'contains': ['160.o1', '400.da1', '400.db1', '400.dd1', '400.df1', '400.dg1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [3712, -1, 9083, -1], 'generators': [2, 17984, 14720, 4, 1600], 'label': '40000.op.80.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '80.ba1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.ba1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608594
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '40.n1'], 'contains': ['160.p1', '400.cz1', '400.db1', '400.dc1', '400.dd1', '400.de1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [3350, -1, 8955, -1], 'generators': [2, 17984, 14720, 4, 25600], 'label': '40000.op.80.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.n1', 'old_label': '80.bb1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bb1', 'subgroup_fusion': None, 'weyl_group': '500.49'}
  • id: 205608595
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '40.o1'], 'contains': ['160.t1', '400.dc1', '400.dd1', '400.dd2', '400.df1', '400.dh1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [5307, -1, 9283, -1], 'generators': [4995, 17984, 14720, 23684, 9600], 'label': '40000.op.80.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.o1', 'old_label': '80.bc1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.bc1', 'subgroup_fusion': None, 'weyl_group': '500.49'}
  • id: 205608638
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1', '50.f1'], 'contains': ['200.z1', '200.ce1', '200.co1', '2500.m1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [8717, -1, 3985, -1], 'generators': [995, 9600, 10004, 16016, 15208, 21184], 'label': '40000.op.100.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '100.bg1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bg1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608639
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1', '50.d1'], 'contains': ['200.bb1', '200.bl1', '2500.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [910, -1, 6362, -1], 'generators': [7393, 8000, 8772, 15568, 19912, 25600], 'label': '40000.op.100.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '100.bh1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bh1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608640
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.n1', '50.g1'], 'contains': ['200.bd1', '200.bo1', '2500.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3975, -1, 6483, -1], 'generators': [7393, 11520, 39876, 15568, 36808, 34304], 'label': '40000.op.100.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '100.bi1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bi1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608641
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.o1', '50.c1'], 'contains': ['200.bc1', '200.bu1', '200.ck1', '2500.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3738, -1, 9019, -1], 'generators': [27177, 32320, 16208, 15876, 27202, 24704], 'label': '40000.op.100.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '100.bj1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bj1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608642
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.o1', '50.g1'], 'contains': ['200.bd1', '200.bw1', '200.cl1', '2500.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8254, -1, 9271, -1], 'generators': [32233, 14720, 15568, 23044, 6402, 8704], 'label': '40000.op.100.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '100.bk1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bk1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608643
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.o1', '50.h1'], 'contains': ['200.bh1', '200.bx1', '200.cm1', '2500.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [9514, -1, 9554, -1], 'generators': [27113, 33600, 19280, 38852, 24002, 5184], 'label': '40000.op.100.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '100.bl1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bl1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608644
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.p1', '50.e1'], 'contains': ['200.bj1', '200.bp1', '200.by1', '2500.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1905, -1, 4052, -1], 'generators': [7393, 25600, 4548, 15568, 37610, 17024], 'label': '40000.op.100.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '100.bm1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bm1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608645
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '2.f1', '2.g1'], 'contains': ['8.b1', '8.e1', '8.h1', '20.c1'], 'core': '4.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [5874, 6650, 6394, 6809], 'generators': [27113, 34304, 9600, 38852, 11520, 8000, 3170, 848], 'label': '40000.op.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.d1', '2.f1', '2.g1'], 'normal_contains': ['8.b1', '8.e1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608646
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.p1', '50.a1'], 'contains': ['200.bm1', '200.bt2', '200.ca1', '2500.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3225, -1, 4668, -1], 'generators': [7393, 24320, 36868, 15568, 36842, 8704], 'label': '40000.op.100.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '100.bn1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bn1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608647
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '100.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.p1', '50.g1'], 'contains': ['200.bo1', '200.bw1', '200.cd1', '2500.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [5804, -1, 4737, -1], 'generators': [7393, 11520, 11140, 15568, 20266, 19264], 'label': '40000.op.100.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '100.bo1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.bo1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608648
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '80.e1'], 'contains': ['320.a1', '800.a1', '800.b1', '800.c1', '800.d1', '800.e1', '800.j1', '800.k1', '800.l1', '800.m1', '800.n1', '800.p1', '800.q1', '800.q2', '800.s1', '800.t1', '800.u1', '800.v1', '800.v2', '800.x1', '800.ba1', '800.bd1', '800.bd2', '800.bd3', '800.bd4'], 'core': '20000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7255, -1, 3873, -1], 'generators': [10004, 14720, 9600, 33984], 'label': '40000.op.160.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '160.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608649
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '80.f1'], 'contains': ['320.b1', '800.a1', '800.b1', '800.c1', '800.d1', '800.h1', '800.j1', '800.m1', '800.n1', '800.p1', '800.s1', '800.t1', '800.u1', '800.y1', '800.bc1', '800.bd1', '800.bd2', '800.bd3', '800.bd4'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6778, -1, 3952, -1], 'generators': [10004, 30720, 25600, 17984], 'label': '40000.op.160.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '160.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608650
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '80.g1', '80.m1', '80.o1'], 'contains': ['320.c1', '800.a1', '800.c1', '800.d1', '800.g1', '800.j1', '800.l1', '800.o1', '800.s1', '800.t1', '800.u1', '800.v1', '800.v2', '800.w1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7874, -1, 3793, -1], 'generators': [10004, 5120, 8000, 8384], 'label': '40000.op.160.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '160.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608651
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '80.a1', '80.c1', '80.h1'], 'contains': ['320.d1', '800.a1', '800.b1', '800.d1', '800.f1', '800.j1', '800.l1', '800.m1', '800.n1', '800.o1', '800.p1', '800.q1', '800.q2', '800.r1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1874, -1, 3536, -1], 'generators': [10004, 6720, 17600, 25984], 'label': '40000.op.160.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '160.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.d1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608652
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.i1', '80.q1', '80.s1'], 'contains': ['320.e1', '800.d1', '800.e1', '800.i1', '800.x1', '800.z1', '800.ba1', '800.bb1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9684, -1, 7674, -1], 'generators': [10004, 9600, 8000, 17984], 'label': '40000.op.160.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1', 'old_label': '160.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.e1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608653
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '80.b1', '80.d1', '80.j1'], 'contains': ['320.f1', '800.a1', '800.b1', '800.c1', '800.e1', '800.f1', '800.g1', '800.h1', '800.i1', '800.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1041, -1, 3457, -1], 'generators': [10004, 9600, 8000, 39424], 'label': '40000.op.160.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '160.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.f1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608654
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '80.k1', '80.n1', '80.p1'], 'contains': ['320.g1', '800.j1', '800.k1', '800.m1', '800.r1', '800.s1', '800.w1', '800.x1', '800.y1', '800.z1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8741, -1, 4536, -1], 'generators': [10004, 22720, 9600, 1984], 'label': '40000.op.160.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '160.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.g1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608655
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '80.l1', '80.r1', '80.t1'], 'contains': ['320.h1', '800.k1', '800.n1', '800.o1', '800.p1', '800.t1', '800.u1', '800.ba1', '800.bb1', '800.bc1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8897, -1, 4688, -1], 'generators': [10004, 14720, 9600, 17984], 'label': '40000.op.160.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '160.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.h1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608656
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.b1', '2.f1'], 'contains': ['8.b1', '8.f1', '8.g1', '20.d1'], 'core': '4.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [3173, 3844, 5742, 3936], 'generators': [3170, 34304, 25600, 10004, 11520, 8000, 8, 16], 'label': '40000.op.4.h1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1', 'normal_contained_in': ['2.a1', '2.b1', '2.f1'], 'normal_contains': ['8.b1', '8.f1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608657
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.d1', '80.a1', '80.u1', '80.w1'], 'contains': ['320.d1', '800.be1', '800.bf1', '800.bj1', '800.bk1', '800.bl1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [622, -1, 928, -1], 'generators': [37897, 17600, 13824, 6720], 'label': '40000.op.160.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '160.i1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.i1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608658
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.d1', '80.b1', '80.v1', '80.x1'], 'contains': ['320.f1', '800.be1', '800.bg1', '800.bh1', '800.bi1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [271, -1, 752, -1], 'generators': [160, 1600, 8320, 9984], 'label': '40000.op.160.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '160.j1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.j1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608659
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.d1', '80.c1', '80.u1', '80.w1'], 'contains': ['320.d1', '800.bg1', '800.bj1', '800.bk1', '800.bl1', '800.bm1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [664, -1, 858, -1], 'generators': [160, 8320, 8000, 8384], 'label': '40000.op.160.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '160.k1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.k1', 'subgroup_fusion': None, 'weyl_group': '100.15'}
  • id: 205608660
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.d1', '80.d1', '80.v1', '80.x1'], 'contains': ['320.f1', '800.bf1', '800.bh1', '800.bi1', '800.bm1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [378, -1, 682, -1], 'generators': [9673, 13824, 25600, 30720], 'label': '40000.op.160.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '160.l1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.l1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205608661
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '80.e1'], 'contains': ['320.a1', '800.bn1', '800.bo1', '800.bp1', '800.bq1', '800.br1', '800.bw1', '800.bx1', '800.by1', '800.bz1', '800.ca1', '800.cc1', '800.cd1', '800.cd2', '800.cf1', '800.cg1', '800.ch1', '800.ci1', '800.ci2', '800.ck1', '800.cn1', '800.cq1', '800.cq2', '800.cq3', '800.cq4'], 'core': '40000.a1', 'coset_action_label': None, 'count': 320, 'diagramx': [6220, -1, 8747, -1], 'generators': [4, 6720, 9600, 17984], 'label': '40000.op.160.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '80.e1', 'old_label': '160.m1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.m1', 'subgroup_fusion': None, 'weyl_group': '250.14'}
  • id: 205608662
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.f1'], 'contains': ['320.b1', '800.bn1', '800.bo1', '800.bp1', '800.bq1', '800.bu1', '800.bw1', '800.bz1', '800.ca1', '800.cc1', '800.cf1', '800.cg1', '800.ch1', '800.cl1', '800.cp1', '800.cq1', '800.cq2', '800.cq3', '800.cq4'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [5854, -1, 8796, -1], 'generators': [4, 5120, 8000, 17984], 'label': '40000.op.160.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '80.f1', 'old_label': '160.n1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.n1', 'subgroup_fusion': None, 'weyl_group': '250.14'}
  • id: 205608663
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '80.g1', '80.ba1'], 'contains': ['320.c1', '800.bn1', '800.bp1', '800.bq1', '800.bt1', '800.bw1', '800.by1', '800.cb1', '800.cf1', '800.cg1', '800.ch1', '800.ci1', '800.ci2', '800.cj1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [4866, -1, 8665, -1], 'generators': [4, 14720, 8000, 17984], 'label': '40000.op.160.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '160.o1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.o1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608664
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '80.h1', '80.u1', '80.bb1'], 'contains': ['320.d1', '800.bn1', '800.bo1', '800.bq1', '800.bs1', '800.bw1', '800.by1', '800.bz1', '800.ca1', '800.cb1', '800.cc1', '800.cd1', '800.cd2', '800.ce1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3163, -1, 8558, -1], 'generators': [24900, 16320, 8000, 8384], 'label': '40000.op.160.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.p1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.p1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608665
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '80.i1', '80.y1'], 'contains': ['320.e1', '800.bq1', '800.br1', '800.bv1', '800.ck1', '800.cm1', '800.cn1', '800.co1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9173, -1, 9059, -1], 'generators': [12740, 9600, 8000, 17984], 'label': '40000.op.160.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '160.q1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.q1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608666
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.j1', '80.v1'], 'contains': ['320.f1', '800.bn1', '800.bo1', '800.bp1', '800.br1', '800.bs1', '800.bt1', '800.bu1', '800.bv1', '800.bx1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [1783, -1, 7534, -1], 'generators': [38852, 9600, 8000, 39424], 'label': '40000.op.160.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '160.r1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.r1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608667
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.g1'], 'contains': ['8.b1', '8.d1', '100.t1', '100.u1'], 'core': '4.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5837, 248, 5281, 253], 'generators': [3170, 9344, 33600, 10004, 11520, 8000, 168, 10640], 'label': '40000.op.4.i1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': ['2.b1', '2.g1'], 'normal_contains': ['8.b1', '8.d1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608668
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.k1', '80.z1'], 'contains': ['320.g1', '800.bw1', '800.bx1', '800.bz1', '800.ce1', '800.cf1', '800.cj1', '800.ck1', '800.cl1', '800.cm1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8339, -1, 8961, -1], 'generators': [3012, 22720, 9600, 1984], 'label': '40000.op.160.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '160.s1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.s1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608669
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.l1', '80.bc1'], 'contains': ['320.h1', '800.bx1', '800.ca1', '800.cb1', '800.cc1', '800.cg1', '800.ch1', '800.cn1', '800.co1', '800.cp1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [6381, -1, 9010, -1], 'generators': [23300, 38720, 33600, 17984], 'label': '40000.op.160.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '160.t1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.t1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608670
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.c1', '80.e1'], 'contains': ['320.a1', '800.cr1', '800.cs1', '800.ct1', '800.cu1', '800.cv1', '800.da1', '800.db1', '800.dc1', '800.dd1', '800.de1', '800.dg1', '800.dh1', '800.dh2', '800.dj1', '800.dk1', '800.dl1', '800.dm1', '800.dm2', '800.do1', '800.dr1', '800.du1', '800.du2', '800.du3', '800.du4'], 'core': '40000.a1', 'coset_action_label': None, 'count': 320, 'diagramx': [4541, -1, 1568, -1], 'generators': [10000, 30720, 9600, 17984], 'label': '40000.op.160.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '80.e1', 'old_label': '160.u1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.u1', 'subgroup_fusion': None, 'weyl_group': '250.14'}
  • id: 205608671
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.f1'], 'contains': ['320.b1', '800.cr1', '800.cs1', '800.ct1', '800.cu1', '800.cy1', '800.da1', '800.dd1', '800.de1', '800.dg1', '800.dj1', '800.dk1', '800.dl1', '800.dp1', '800.dt1', '800.du1', '800.du2', '800.du3', '800.du4'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [4147, -1, 1617, -1], 'generators': [10000, 30720, 25600, 17984], 'label': '40000.op.160.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '80.f1', 'old_label': '160.v1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.v1', 'subgroup_fusion': None, 'weyl_group': '250.14'}
  • id: 205608672
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.c1', '80.g1', '80.bf1'], 'contains': ['320.c1', '800.cr1', '800.ct1', '800.cu1', '800.cx1', '800.da1', '800.dc1', '800.df1', '800.dj1', '800.dk1', '800.dl1', '800.dm1', '800.dm2', '800.dn1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3679, -1, 1519, -1], 'generators': [39568, 22720, 17600, 25984], 'label': '40000.op.160.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '160.w1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.w1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608673
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.c1', '80.h1', '80.w1', '80.bh1'], 'contains': ['320.d1', '800.cr1', '800.cs1', '800.cu1', '800.cw1', '800.da1', '800.dc1', '800.dd1', '800.de1', '800.df1', '800.dg1', '800.dh1', '800.dh2', '800.di1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3463, -1, 1392, -1], 'generators': [14672, 16320, 8000, 17984], 'label': '40000.op.160.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '160.x1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.x1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608674
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '80.i1', '80.bd1'], 'contains': ['320.e1', '800.cu1', '800.cv1', '800.cz1', '800.do1', '800.dq1', '800.dr1', '800.ds1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [7825, -1, 2630, -1], 'generators': [20816, 9600, 8000, 17984], 'label': '40000.op.160.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '160.y1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.y1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608675
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.j1', '80.x1', '80.be1', '80.bg1'], 'contains': ['320.f1', '800.cr1', '800.cs1', '800.ct1', '800.cv1', '800.cw1', '800.cx1', '800.cy1', '800.cz1', '800.db1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [1703, -1, 1186, -1], 'generators': [848, 9600, 8000, 39424], 'label': '40000.op.160.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '160.z1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.z1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608676
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.k1', '80.bi1'], 'contains': ['320.g1', '800.da1', '800.db1', '800.dd1', '800.di1', '800.dj1', '800.dn1', '800.do1', '800.dp1', '800.dq1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [7054, -1, 1665, -1], 'generators': [35408, 14720, 9600, 1984], 'label': '40000.op.160.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '160.ba1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.ba1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608677
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '160.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.l1'], 'contains': ['320.h1', '800.db1', '800.de1', '800.df1', '800.dg1', '800.dk1', '800.dl1', '800.dr1', '800.ds1', '800.dt1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [4748, -1, 1714, -1], 'generators': [24976, 38720, 33600, 17984], 'label': '40000.op.160.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '160.bb1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.bb1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205608678
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.e1', '2.g1', '2.h1'], 'contains': ['8.c1', '8.d1', '8.e1', '20.e1'], 'core': '4.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [5960, 7829, 7091, 8017], 'generators': [7233, 5184, 33600, 10004, 13120, 8000, 168, 9296], 'label': '40000.op.4.j1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.j1', 'normal_contained_in': ['2.e1', '2.g1', '2.h1'], 'normal_contains': ['8.c1', '8.d1', '8.e1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608679
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.a1', '40.b1'], 'contains': ['400.b1', '400.c1', '400.k1', '400.ce1', '400.ck1', '1000.a1', '1000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [714, -1, 2342, -1], 'generators': [15945, 10000, 2624, 10004, 30720], 'label': '40000.op.200.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.a1', 'old_label': '200.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.a1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608680
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.b1', '100.a1', '100.f1'], 'contains': ['400.d1', '400.p1', '400.cf1', '400.cl1', '1000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [835, -1, 2274, -1], 'generators': [20873, 12048, 28224, 10004, 17600], 'label': '40000.op.200.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '200.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.b1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608681
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.b1', '100.d1', '100.g1', '100.j1'], 'contains': ['400.e1', '400.r1', '400.cg1', '400.cm1', '1000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [132, -1, 2621, -1], 'generators': [4745, 11600, 25600, 10004, 8000], 'label': '40000.op.200.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '200.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.c1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608682
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.a1', '100.b1', '100.e1', '100.h1'], 'contains': ['400.f1', '400.x1', '400.ch1', '400.cn1', '1000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2146, -1, 3040, -1], 'generators': [37897, 39568, 13824, 10004, 11520], 'label': '40000.op.200.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '200.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.d1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608683
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.a1'], 'contains': ['400.g1', '400.z1', '400.ci1', '400.co1', '1000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [1290, -1, 2689, -1], 'generators': [15945, 10000, 13824, 10004, 29120], 'label': '40000.op.200.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.e1', 'old_label': '200.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.e1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608684
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.a1', '100.c1', '100.i1', '100.k1'], 'contains': ['400.h1', '400.ba1', '400.cj1', '400.cp1', '1000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1228, -1, 3476, -1], 'generators': [15945, 9296, 2624, 10004, 320], 'label': '40000.op.200.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '200.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.f1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608685
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.a1', '40.b1', '100.l1', '100.m1'], 'contains': ['400.a1', '400.i1', '400.o1', '400.cq1', '400.cr1', '1000.a1', '1000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [487, -1, 2417, -1], 'generators': [9673, 16848, 39424, 10004, 25600], 'label': '40000.op.200.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '200.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.g1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608686
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.c1', '100.a1', '100.r1', '100.t1'], 'contains': ['400.p1', '400.bo1', '1000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3002, -1, 5053, -1], 'generators': [20386, 10004, 19264, 22736, 8000], 'label': '40000.op.200.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '200.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.h1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608687
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.c1', '100.b1', '100.n1', '100.s1'], 'contains': ['400.x1', '400.bp1', '1000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [4842, -1, 5260, -1], 'generators': [22114, 10004, 34304, 10000, 16320], 'label': '40000.op.200.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '200.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.i1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608688
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.d1', '100.c1', '100.p1'], 'contains': ['400.ba1', '400.bq1', '1000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [4324, -1, 6426, -1], 'generators': [33378, 10004, 32384, 17808, 32320], 'label': '40000.op.200.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '200.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.j1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608689
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': ['20000.b1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.d1', '4.f1', '4.h1', '4.k1', '4.p1', '50.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2765, 5115, 5742, 5237], 'generators': [8000, 33600, 2, 17984, 10004, 14720, 7233, 8, 10000], 'label': '40000.op.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.d1', '4.f1', '4.h1', '4.k1', '4.p1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '20000.bq', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608690
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.h1'], 'contains': ['8.c1', '8.g1', '20.f1'], 'core': '4.k1', 'coset_action_label': None, 'count': 2, 'diagramx': [5800, 6100, 7151, 6246], 'generators': [7233, 17984, 9600, 10004, 14720, 8000, 2, 10000], 'label': '40000.op.4.k1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.k1', 'normal_contained_in': ['2.a1', '2.h1'], 'normal_contains': ['8.c1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608691
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.c1', '40.d1'], 'contains': ['400.bb1', '400.br1', '400.bs1', '1000.c1', '1000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [8157, -1, 5601, -1], 'generators': [3170, 10004, 5824, 10000, 30720], 'label': '40000.op.200.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.k1', 'old_label': '200.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.k1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608692
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.c1'], 'contains': ['400.be1', '400.bt1', '1000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5727, -1, 5116, -1], 'generators': [29858, 10004, 19264, 10000, 37120], 'label': '40000.op.200.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.l1', 'old_label': '200.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.l1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608693
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.d1', '100.o1', '100.q1', '100.u1'], 'contains': ['400.bi1', '400.bu1', '1000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [9769, -1, 6676, -1], 'generators': [13090, 10004, 30784, 25168, 9600], 'label': '40000.op.200.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '200.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.m1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608694
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.c1', '40.d1', '100.v1', '100.w1'], 'contains': ['400.bf1', '400.bn1', '400.bv1', '1000.c1', '1000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [7649, -1, 5727, -1], 'generators': [3170, 10004, 30784, 23568, 11520], 'label': '40000.op.200.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '200.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.n1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608695
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1', '100.d1', '100.x1'], 'contains': ['400.r1', '400.bx1', '1000.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [3760, -1, 7752, -1], 'generators': [24065, 10004, 9600, 11600, 8000], 'label': '40000.op.200.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '200.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.o1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608696
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.f1', '100.e1', '100.n1', '100.z1'], 'contains': ['400.x1', '400.by1', '1000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [6921, -1, 7123, -1], 'generators': [20033, 10004, 24384, 9936, 24320], 'label': '40000.op.200.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '200.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.p1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608697
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1', '100.o1', '100.y1'], 'contains': ['400.bi1', '400.bz1', '1000.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9979, -1, 7887, -1], 'generators': [26433, 10004, 11584, 25168, 9600], 'label': '40000.op.200.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '200.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.q1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608698
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.e1', '40.f1'], 'contains': ['400.bj1', '400.ca1', '400.cb1', '1000.e1', '1000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [9456, -1, 7453, -1], 'generators': [7233, 10004, 17984, 10000, 9600], 'label': '40000.op.200.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.r1', 'old_label': '200.r1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.r1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608699
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.f1'], 'contains': ['400.bl1', '400.cc1', '1000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [8595, -1, 7225, -1], 'generators': [7233, 10004, 17984, 10000, 5120], 'label': '40000.op.200.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.s1', 'old_label': '200.s1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.s1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608700
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1', '40.f1', '100.ba1', '100.bb1'], 'contains': ['400.bk1', '400.bw1', '400.cd1', '1000.e1', '1000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9580, -1, 7995, -1], 'generators': [7233, 10004, 17984, 10000, 33600], 'label': '40000.op.200.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '200.t1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.t1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608701
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.c1', '2.h1'], 'contains': ['8.d1', '8.g1', '100.bc1', '100.bd1', '100.be1'], 'core': '4.l1', 'coset_action_label': None, 'count': 2, 'diagramx': [3138, 817, 5401, 837], 'generators': [6147, 25344, 25600, 17988, 21120, 8000, 168, 2832], 'label': '40000.op.4.l1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.l1', 'normal_contained_in': ['2.b1', '2.c1', '2.h1'], 'normal_contains': ['8.d1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608702
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.g1', '40.h1'], 'contains': ['400.n1', '400.di1', '1000.g1', '1000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5627, -1, 3875, -1], 'generators': [168, 9296, 16384, 10004, 17600], 'label': '40000.op.200.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.u1', 'old_label': '200.u1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.u1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608703
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.h1', '100.l1', '100.bc1', '100.bf1'], 'contains': ['400.o1', '400.dj1', '1000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2021, -1, 2970, -1], 'generators': [168, 9296, 24320, 10004, 8000], 'label': '40000.op.200.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '200.v1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.v1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608704
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.h1', '100.f1', '100.t1', '100.bd1'], 'contains': ['400.p1', '400.dk1', '1000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2228, -1, 3191, -1], 'generators': [168, 9296, 10624, 10004, 17600], 'label': '40000.op.200.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '200.w1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.w1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608705
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.h1'], 'contains': ['400.q1', '400.dl1', '1000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2403, -1, 3406, -1], 'generators': [168, 9296, 12224, 10004, 8000], 'label': '40000.op.200.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.x1', 'old_label': '200.x1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.x1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608706
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.g1', '40.h1', '100.g1', '100.x1'], 'contains': ['400.r1', '400.dm1', '1000.g1', '1000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [2665, -1, 3798, -1], 'generators': [168, 9296, 9600, 10004, 8000], 'label': '40000.op.200.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '200.y1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.y1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608707
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.g1', '100.u1', '100.y1', '100.bg1'], 'contains': ['400.bi1', '400.dn1', '1000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9129, -1, 4395, -1], 'generators': [168, 9296, 32384, 10004, 9600], 'label': '40000.op.200.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '200.z1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.z1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608708
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.g1', '100.ba1', '100.be1'], 'contains': ['400.bk1', '400.do1', '1000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [8997, -1, 4643, -1], 'generators': [168, 9296, 24384, 10004, 33600], 'label': '40000.op.200.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '200.ba1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.ba1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608709
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.i1', '100.j1', '100.x1', '100.bh1'], 'contains': ['400.r1', '400.cs1', '1000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [1485, -1, 8483, -1], 'generators': [27113, 38852, 17600, 18448, 8000], 'label': '40000.op.200.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '200.bb1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bb1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608710
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.j1', '100.k1', '100.p1', '100.bj1'], 'contains': ['400.ba1', '400.ct1', '1000.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3956, -1, 9019, -1], 'generators': [31465, 39812, 2304, 4496, 320], 'label': '40000.op.200.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '200.bc1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bc1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608711
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.j1', '100.v1', '100.bi1', '100.bk1'], 'contains': ['400.bf1', '400.cu1', '1000.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8426, -1, 9148, -1], 'generators': [37033, 11844, 34304, 12368, 11520], 'label': '40000.op.200.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '200.bd1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bd1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608712
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.g1'], 'contains': ['8.d1', '8.h1', '8.l1', '100.bf1', '100.bg1'], 'core': '4.m1', 'coset_action_label': None, 'count': 1, 'diagramx': [3588, 1474, 4382, 1509], 'generators': [5347, 6144, 25600, 10004, 11520, 8000, 168, 19984], 'label': '40000.op.4.m1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.m1', 'normal_contained_in': ['2.c1', '2.g1'], 'normal_contains': ['8.d1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608713
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.i1', '40.j1'], 'contains': ['400.bg1', '400.cv1', '1000.i1', '1000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [9356, -1, 9517, -1], 'generators': [13097, 4868, 33984, 80, 33600], 'label': '40000.op.200.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.be1', 'old_label': '200.be1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.be1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608714
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.j1'], 'contains': ['400.bh1', '400.cw1', '1000.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [9223, -1, 9364, -1], 'generators': [15977, 27076, 28864, 18000, 21120], 'label': '40000.op.200.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bf1', 'old_label': '200.bf1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bf1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608715
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.i1', '40.j1', '100.q1', '100.y1'], 'contains': ['400.bi1', '400.cx1', '1000.i1', '1000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9626, -1, 9440, -1], 'generators': [27113, 38852, 1984, 29648, 9600], 'label': '40000.op.200.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '200.bg1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bg1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608716
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.i1', '100.ba1', '100.bl1'], 'contains': ['400.bk1', '400.cy1', '1000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9536, -1, 9605, -1], 'generators': [27113, 38852, 5184, 19280, 33600], 'label': '40000.op.200.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '200.bh1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bh1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608717
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.k1', '40.l1'], 'contains': ['400.l1', '400.dp1', '1000.k1', '1000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [2351, -1, 3334, -1], 'generators': [7393, 15568, 9024, 10004, 25600], 'label': '40000.op.200.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bi1', 'old_label': '200.bi1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bi1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608718
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.l1', '100.l1', '100.bm1'], 'contains': ['400.o1', '400.dq1', '1000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1381, -1, 2899, -1], 'generators': [7393, 15568, 2624, 10004, 25600], 'label': '40000.op.200.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '200.bj1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bj1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608719
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.k1', '40.l1', '100.f1', '100.r1'], 'contains': ['400.p1', '400.dr1', '1000.k1', '1000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2294, -1, 3115, -1], 'generators': [7393, 15568, 23424, 10004, 17600], 'label': '40000.op.200.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '200.bk1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bk1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608720
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.l1', '100.d1', '100.g1', '100.bh1'], 'contains': ['400.r1', '400.ds1', '1000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [907, -1, 3263, -1], 'generators': [7393, 15568, 9600, 10004, 8000], 'label': '40000.op.200.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '200.bl1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bl1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608721
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.k1', '100.e1', '100.s1', '100.bn1'], 'contains': ['400.x1', '400.dt1', '1000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2868, -1, 4051, -1], 'generators': [7393, 15568, 64, 10004, 24320], 'label': '40000.op.200.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '200.bm1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bm1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608722
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.k1'], 'contains': ['400.be2', '400.du1', '1000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2712, -1, 3562, -1], 'generators': [7393, 15568, 9664, 10004, 17920], 'label': '40000.op.200.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bn1', 'old_label': '200.bn1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bn1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608723
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.e1', '2.f1'], 'contains': ['8.e1', '8.f1', '100.bh1', '100.bi1'], 'core': '4.n1', 'coset_action_label': None, 'count': 1, 'diagramx': [2721, 9518, 6334, 9747], 'generators': [7393, 31104, 25600, 28676, 9920, 8000, 8, 15568], 'label': '40000.op.4.n1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.n1', 'normal_contained_in': ['2.e1', '2.f1'], 'normal_contains': ['8.e1', '8.f1'], 'normalizer': '1.a1', 'old_label': '4.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608724
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.k1', '100.w1', '100.bi1', '100.bo1'], 'contains': ['400.bf1', '400.dv1', '1000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [4365, -1, 4323, -1], 'generators': [7393, 15568, 19264, 10004, 11520], 'label': '40000.op.200.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '200.bo1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bo1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608725
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.n1', '100.m1', '100.bc1', '100.bm1'], 'contains': ['400.o1', '400.cz1', '1000.m1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1968, -1, 7685, -1], 'generators': [12459, 3140, 8320, 35216, 8000], 'label': '40000.op.200.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '200.bp1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bp1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608726
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.m1', '100.a1', '100.r1', '100.bd1'], 'contains': ['400.p1', '400.da1', '1000.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2600, -1, 7820, -1], 'generators': [30059, 32516, 33024, 11088, 17600], 'label': '40000.op.200.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '200.bq1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bq1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608727
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.m1', '40.n1'], 'contains': ['400.u1', '400.db1', '1000.m1', '1000.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [2804, -1, 8675, -1], 'generators': [12267, 2884, 12544, 400, 37120], 'label': '40000.op.200.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.br1', 'old_label': '200.br1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.br1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608728
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.n1', '40.o1'], 'contains': ['400.w1', '400.dc1', '1000.m1', '1000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [3235, -1, 8819, -1], 'generators': [9067, 6212, 34624, 32400, 30720], 'label': '40000.op.200.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bs1', 'old_label': '200.bs1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bs1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608729
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.m1', '40.n1', '40.o1', '100.h1', '100.s1', '100.z1'], 'contains': ['400.x1', '400.dd1', '1000.m1', '1000.n1', '1000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3300, -1, 8599, -1], 'generators': [6147, 17988, 17984, 10000, 16320], 'label': '40000.op.200.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '200.bt1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bt1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608730
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bt2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.o1', '100.b1', '100.z1', '100.bn1'], 'contains': ['400.x1', '400.dd2', '1000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3903, -1, 8411, -1], 'generators': [6147, 17988, 17984, 10000, 14720], 'label': '40000.op.200.bt2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '200.bt2', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bt2', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608731
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.n1', '100.c1', '100.i1', '100.bj1'], 'contains': ['400.ba1', '400.de1', '1000.m1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2516, -1, 8158, -1], 'generators': [35435, 18308, 9344, 11408, 32320], 'label': '40000.op.200.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '200.bu1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bu1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608732
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.m1', '40.o1'], 'contains': ['400.bc1', '400.df1', '1000.n1', '1000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [3800, -1, 8890, -1], 'generators': [37867, 8900, 9984, 21200, 21120], 'label': '40000.op.200.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bv1', 'old_label': '200.bv1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bv1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608733
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.m1', '100.w1', '100.bk1', '100.bo1'], 'contains': ['400.bf1', '400.dg1', '1000.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [6075, -1, 8747, -1], 'generators': [17195, 20996, 23424, 9168, 14720], 'label': '40000.op.200.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '200.bw1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bw1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608734
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '2.f1', '2.h1'], 'contains': ['8.e1', '8.g1', '8.k1', '100.bj1', '100.bk1', '100.bl1'], 'core': '4.o1', 'coset_action_label': None, 'count': 2, 'diagramx': [5924, 8379, 8182, 8580], 'generators': [27113, 33984, 33600, 10000, 13120, 8000, 170, 38852], 'label': '40000.op.4.o1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.o1', 'normal_contained_in': ['2.d1', '2.f1', '2.h1'], 'normal_contains': ['8.e1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608735
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.o1', '100.bb1', '100.be1', '100.bl1'], 'contains': ['400.bk1', '400.dh1', '1000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [8676, -1, 9219, -1], 'generators': [6147, 17988, 17984, 10000, 33600], 'label': '40000.op.200.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '200.bx1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bx1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608736
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.p1', '100.m1', '100.bf1', '100.bm1'], 'contains': ['400.o1', '400.dw1', '1000.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2084, -1, 3650, -1], 'generators': [25571, 9808, 28224, 10004, 25600], 'label': '40000.op.200.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '200.by1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.by1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608737
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.p1', '40.q1'], 'contains': ['400.v1', '400.dx1', '1000.p1', '1000.q1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5395, -1, 3946, -1], 'generators': [20491, 12112, 25664, 10004, 17920], 'label': '40000.op.200.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bz1', 'old_label': '200.bz1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.bz1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608738
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.p1', '100.h1', '100.n1', '100.bn1'], 'contains': ['400.x1', '400.dy1', '1000.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3071, -1, 4170, -1], 'generators': [5347, 19984, 10624, 10004, 16320], 'label': '40000.op.200.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '200.ca1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.ca1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608739
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.p1'], 'contains': ['400.z2', '400.dz1', '1000.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2950, -1, 3722, -1], 'generators': [6091, 11088, 20544, 10004, 29120], 'label': '40000.op.200.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.cb1', 'old_label': '200.cb1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cb1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608740
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.p1', '40.q1', '100.i1', '100.p1'], 'contains': ['400.ba1', '400.ea1', '1000.p1', '1000.q1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3587, -1, 4247, -1], 'generators': [20555, 11984, 32384, 10004, 32320], 'label': '40000.op.200.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '200.cc1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cc1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608741
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.q1', '100.v1', '100.bo1'], 'contains': ['400.bf1', '400.eb1', '1000.q1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [7962, -1, 4483, -1], 'generators': [32611, 33808, 1984, 10004, 14720], 'label': '40000.op.200.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '200.cd1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cd1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608742
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.q1', '100.o1', '100.q1', '100.bg1'], 'contains': ['400.bi1', '400.ec1', '1000.q1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8835, -1, 4554, -1], 'generators': [24395, 6672, 1984, 10004, 9600], 'label': '40000.op.200.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '200.ce1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.ce1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608743
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['40.r1', '100.f1'], 'contains': ['400.cl1', '400.dk1', '400.dr1', '1000.r1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [662, -1, 322, -1], 'generators': [7393, 15568, 19904, 22076, 25600], 'label': '40000.op.200.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '200.cf1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cf1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608744
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.r1', '100.g1'], 'contains': ['400.cm1', '400.dm1', '400.ds1', '1000.r1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [86, -1, 437, -1], 'generators': [7393, 15568, 9600, 32060, 8000], 'label': '40000.op.200.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.g1', 'old_label': '200.cg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cg1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608745
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.c1', '2.f1'], 'contains': ['8.f1', '8.g1', '8.h1', '100.bm1', '100.bn1', '100.bo1'], 'core': '4.p1', 'coset_action_label': None, 'count': 4, 'diagramx': [3100, 5534, 4688, 5667], 'generators': [6147, 34944, 9600, 17988, 320, 8000, 8, 16], 'label': '40000.op.4.p1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.p1', 'normal_contained_in': ['2.a1', '2.c1', '2.f1'], 'normal_contains': ['8.f1', '8.g1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608746
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.j1', '100.j1'], 'contains': ['400.cg1', '400.cs1', '5000.j1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [18, -1, 8227, -1], 'generators': [24089, 772, 19904, 160, 8320], 'label': '40000.op.200.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '200.ch1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.ch1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608747
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.j1', '100.k1'], 'contains': ['400.cj1', '400.ct1', '5000.j1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [432, -1, 8293, -1], 'generators': [19289, 7172, 2304, 160, 320], 'label': '40000.op.200.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.k1', 'old_label': '200.ci1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.ci1', 'subgroup_fusion': None, 'weyl_group': '200.43'}
  • id: 205608748
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.r1', '100.l1'], 'contains': ['400.cr1', '400.dj1', '400.dq1', '1000.r1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [321, -1, 228, -1], 'generators': [7393, 15568, 2624, 2556, 25600], 'label': '40000.op.200.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '200.cj1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cj1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608749
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.k1', '100.bj1'], 'contains': ['400.ct1', '400.de1', '5000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [4946, -1, 9665, -1], 'generators': [15801, 8836, 1664, 31018, 320], 'label': '40000.op.200.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bj1', 'old_label': '200.ck1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.ck1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608750
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.k1', '100.bk1'], 'contains': ['400.cu1', '400.dg1', '5000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [8281, -1, 9845, -1], 'generators': [28153, 29252, 32384, 5866, 13120], 'label': '40000.op.200.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '200.cl1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cl1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608751
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.k1', '100.bl1'], 'contains': ['400.cy1', '400.dh1', '5000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [9034, -1, 9893, -1], 'generators': [24121, 4164, 17984, 13418, 33600], 'label': '40000.op.200.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bl1', 'old_label': '200.cm1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cm1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608752
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.l1', '100.bf1'], 'contains': ['400.dj1', '400.dw1', '5000.l1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2460, -1, 153, -1], 'generators': [37475, 33360, 28224, 15036, 25600], 'label': '40000.op.200.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bf1', 'old_label': '200.cn1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.cn1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608753
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '200.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.l1', '100.bg1'], 'contains': ['400.dn1', '400.ec1', '5000.l1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [6029, -1, 1523, -1], 'generators': [28515, 8272, 30144, 10556, 33600], 'label': '40000.op.200.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '200.co1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.co1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608754
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.a1', '160.a1', '160.m1', '160.u1'], 'contains': ['1600.a1', '1600.b1', '1600.c1', '1600.d1', '1600.e1', '1600.j1', '1600.k1', '1600.l1', '1600.m1', '1600.n1', '1600.p1', '1600.q1', '1600.q2', '1600.s1', '1600.t1', '1600.u1', '1600.v1', '1600.v2', '1600.x1', '1600.ba1', '1600.bd1', '1600.bd2', '1600.bd3', '1600.bd4'], 'core': '40000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7095, -1, 3306, -1], 'generators': [9984, 9600, 14720], 'label': '40000.op.320.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '320.a1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608755
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '160.b1', '160.n1', '160.v1'], 'contains': ['1600.a1', '1600.b1', '1600.c1', '1600.d1', '1600.h1', '1600.j1', '1600.m1', '1600.n1', '1600.p1', '1600.s1', '1600.t1', '1600.u1', '1600.y1', '1600.bc1', '1600.bd1', '1600.bd2', '1600.bd3', '1600.bd4'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6684, -1, 3341, -1], 'generators': [17984, 25600, 30720], 'label': '40000.op.320.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '320.b1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608756
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'contains': ['16.a1', '16.d1', '16.g1', '16.h1', '40.a1', '40.b1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2003, 5689, 3078, 5824], 'generators': [160, 9600, 10000, 17984, 10004, 8000, 16320], 'label': '40000.op.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608757
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.a1', '160.c1', '160.o1', '160.w1'], 'contains': ['1600.a1', '1600.c1', '1600.d1', '1600.g1', '1600.j1', '1600.l1', '1600.o1', '1600.s1', '1600.t1', '1600.u1', '1600.v1', '1600.v2', '1600.w1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7074, -1, 3270, -1], 'generators': [17984, 17600, 6720], 'label': '40000.op.320.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '320.c1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.c1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608758
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.a1', '160.d1', '160.i1', '160.k1', '160.p1', '160.x1'], 'contains': ['1600.a1', '1600.b1', '1600.d1', '1600.f1', '1600.j1', '1600.l1', '1600.m1', '1600.n1', '1600.o1', '1600.p1', '1600.q1', '1600.q2', '1600.r1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1457, -1, 2953, -1], 'generators': [17984, 8000, 16320], 'label': '40000.op.320.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '320.d1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.d1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608759
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.e1', '160.q1', '160.y1'], 'contains': ['1600.d1', '1600.e1', '1600.i1', '1600.x1', '1600.z1', '1600.ba1', '1600.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8509, -1, 5393, -1], 'generators': [17984, 8000, 9600], 'label': '40000.op.320.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1', 'old_label': '320.e1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.e1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608760
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '160.f1', '160.j1', '160.l1', '160.r1', '160.z1'], 'contains': ['1600.a1', '1600.b1', '1600.c1', '1600.e1', '1600.f1', '1600.g1', '1600.h1', '1600.i1', '1600.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1000, -1, 2918, -1], 'generators': [14720, 8000, 9600], 'label': '40000.op.320.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '320.f1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.f1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608761
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '160.g1', '160.s1', '160.ba1'], 'contains': ['1600.j1', '1600.k1', '1600.m1', '1600.r1', '1600.s1', '1600.w1', '1600.x1', '1600.y1', '1600.z1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8447, -1, 3659, -1], 'generators': [1984, 9600, 14720], 'label': '40000.op.320.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '320.g1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.g1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608762
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '320.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '160.h1', '160.t1', '160.bb1'], 'contains': ['1600.k1', '1600.n1', '1600.o1', '1600.p1', '1600.t1', '1600.u1', '1600.ba1', '1600.bb1', '1600.bc1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7116, -1, 3694, -1], 'generators': [17984, 33600, 38720], 'label': '40000.op.320.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '320.h1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.h1', 'subgroup_fusion': None, 'weyl_group': '8.2'}
  • id: 205608763
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.a1', '80.b1', '200.g1'], 'contains': ['800.f1', '800.be1', '2000.a1', '2000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [502, -1, 2118, -1], 'generators': [160, 3264, 1600, 10004], 'label': '40000.op.400.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '400.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.a1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205608764
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.a1', '80.d1', '200.a1'], 'contains': ['800.b1', '800.bf1', '2000.a1', '2000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [723, -1, 1988, -1], 'generators': [160, 1600, 320, 10004], 'label': '40000.op.400.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '400.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608765
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.b1', '80.c1', '200.a1'], 'contains': ['800.b1', '800.bg1', '2000.b1', '2000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [680, -1, 2059, -1], 'generators': [160, 20864, 8000, 10004], 'label': '40000.op.400.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.b1', 'old_label': '400.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.c1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608766
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.b1', '80.d1', '200.b1'], 'contains': ['800.g1', '800.bh1', '2000.a1', '2000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [766, -1, 1774, -1], 'generators': [160, 11264, 8000, 10004], 'label': '40000.op.400.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '400.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.d1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608767
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.f1', '4.g1', '4.h1', '4.i1'], 'contains': ['16.a1', '16.e1', '40.c1', '40.d1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5874, 3353, 5786, 3434], 'generators': [3170, 9600, 10004, 5824, 10000, 8000, 11520], 'label': '40000.op.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.f1', '4.g1', '4.h1', '4.i1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608768
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.b1', '80.d1', '200.c1'], 'contains': ['800.i1', '800.bi1', '2000.a1', '2000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [331, -1, 1917, -1], 'generators': [160, 9600, 8000, 10004], 'label': '40000.op.400.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '400.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.e1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608769
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.a1', '80.c1', '200.d1'], 'contains': ['800.o1', '800.bj1', '2000.b1', '2000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [1265, -1, 2248, -1], 'generators': [160, 24384, 24320, 10004], 'label': '40000.op.400.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '400.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.f1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608770
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.a1', '80.c1', '200.e1'], 'contains': ['800.q1', '800.bk1', '2000.b1', '2000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [1163, -1, 2177, -1], 'generators': [160, 6784, 320, 10004], 'label': '40000.op.400.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '400.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608771
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.a1', '80.c1', '200.f1'], 'contains': ['800.r1', '800.bl1', '2000.b1', '2000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [1120, -1, 2319, -1], 'generators': [160, 1984, 320, 10004], 'label': '40000.op.400.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '400.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.h1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608772
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.c1', '80.d1', '200.g1'], 'contains': ['800.f1', '800.bm1', '2000.c1', '2000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [828, -1, 1846, -1], 'generators': [9673, 39424, 25600, 10004], 'label': '40000.op.400.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '400.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.i1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608773
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.g1', '80.h1', '80.j1'], 'contains': ['800.a1', '800.bn1', '800.cr1', '2000.e1', '2000.f1', '2000.g1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [4247, -1, 5562, -1], 'generators': [10004, 8384, 11520, 10000], 'label': '40000.op.400.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.j1', 'old_label': '400.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.j1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608774
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.h1', '80.j1', '200.a1'], 'contains': ['800.b1', '800.bo1', '800.cs1', '2000.e1', '2000.f1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [2412, -1, 5089, -1], 'generators': [10004, 24704, 25600, 10000], 'label': '40000.op.400.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.a1', 'old_label': '400.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.k1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608775
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.g1', '80.j1', '200.bi1'], 'contains': ['800.c1', '800.bp1', '800.ct1', '2000.e1', '2000.g1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4544, -1, 5634, -1], 'generators': [10004, 14720, 8000, 24720], 'label': '40000.op.400.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bi1', 'old_label': '400.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.l1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608776
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.g1', '80.h1', '80.i1'], 'contains': ['800.d1', '800.bq1', '800.cu1', '2000.e1', '2000.h1', '2000.j1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [5116, -1, 6643, -1], 'generators': [10004, 17984, 25600, 10000], 'label': '40000.op.400.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.m1', 'old_label': '400.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.m1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608777
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.i1', '80.j1', '200.u1'], 'contains': ['800.e1', '800.br1', '800.cv1', '2000.e1', '2000.i1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5680, -1, 5305, -1], 'generators': [10004, 33984, 17600, 28816], 'label': '40000.op.400.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.u1', 'old_label': '400.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.n1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608778
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.f1', '4.j1', '4.k1'], 'contains': ['16.a1', '16.f1', '40.e1', '40.f1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8513, 7240, 7121, 7413], 'generators': [7233, 9600, 10004, 17984, 10000, 8000, 14720], 'label': '40000.op.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.f1', '4.j1', '4.k1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608779
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.h1', '80.j1', '200.g1', '200.v1', '200.bj1', '200.bp1', '200.by1'], 'contains': ['800.f1', '800.bs1', '800.cw1', '2000.e1', '2000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1740, -1, 4100, -1], 'generators': [10004, 39424, 25600, 16848], 'label': '40000.op.400.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '400.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.o1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608780
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.g1', '80.j1', '200.b1', '200.h1', '200.w1', '200.bk1', '200.bq1'], 'contains': ['800.g1', '800.bt1', '800.cx1', '2000.e1', '2000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2148, -1, 4317, -1], 'generators': [10004, 11264, 8000, 22736], 'label': '40000.op.400.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '400.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.p1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608781
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.f1', '80.j1', '200.x1'], 'contains': ['800.h1', '800.bu1', '800.cy1', '2000.e1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2236, -1, 4461, -1], 'generators': [10004, 20224, 8000, 31376], 'label': '40000.op.400.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.x1', 'old_label': '400.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.q1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608782
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.i1', '80.j1', '200.c1', '200.o1', '200.y1', '200.bb1', '200.bl1'], 'contains': ['800.i1', '800.bv1', '800.cz1', '2000.e1', '2000.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [1678, -1, 5161, -1], 'generators': [10004, 9600, 8000, 11600], 'label': '40000.op.400.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '400.r1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.r1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608783
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.g1', '80.h1', '80.k1'], 'contains': ['800.j1', '800.bw1', '800.da1', '2000.f1', '2000.g1', '2000.h1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [4915, -1, 5778, -1], 'generators': [10004, 27584, 30720, 10000], 'label': '40000.op.400.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.s1', 'old_label': '400.s1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.s1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608784
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.j1', '80.k1', '80.l1'], 'contains': ['800.k1', '800.bx1', '800.db1', '2000.f1', '2000.g1', '2000.i1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [5777, -1, 6354, -1], 'generators': [10004, 14720, 9600, 10000], 'label': '40000.op.400.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.t1', 'old_label': '400.t1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.t1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608785
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.g1', '80.h1', '200.br1'], 'contains': ['800.l1', '800.by1', '800.dc1', '2000.f1', '2000.g1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [3062, -1, 5706, -1], 'generators': [10000, 13824, 27520, 36100], 'label': '40000.op.400.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.br1', 'old_label': '400.u1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.u1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608786
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.h1', '80.k1', '200.bz1'], 'contains': ['800.m1', '800.bz1', '800.dd1', '2000.f1', '2000.h1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5373, -1, 5850, -1], 'generators': [10004, 3584, 17920, 20176], 'label': '40000.op.400.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bz1', 'old_label': '400.v1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.v1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608787
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.h1', '80.l1', '200.bs1'], 'contains': ['800.n1', '800.ca1', '800.de1', '2000.f1', '2000.j1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4853, -1, 6787, -1], 'generators': [10004, 29184, 30720, 15300], 'label': '40000.op.400.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bs1', 'old_label': '400.w1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.w1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608788
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.g1', '80.h1', '80.l1', '200.d1', '200.i1', '200.p1', '200.bm1', '200.bt1', '200.bt2', '200.ca1'], 'contains': ['800.o1', '800.cb1', '800.df1', '2000.f1', '2000.g1', '2000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3472, -1, 5377, -1], 'generators': [10004, 17984, 14720, 10000], 'label': '40000.op.400.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '400.x1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.x1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608789
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.i1', '4.j1', '4.l1', '4.m1'], 'contains': ['16.a1', '16.c1', '40.g1', '40.h1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3588, 2590, 4391, 2652], 'generators': [168, 33600, 9296, 24384, 10004, 8000, 13120], 'label': '40000.op.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.c1', '4.i1', '4.j1', '4.l1', '4.m1'], 'normal_contains': ['16.a1', '16.c1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608790
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.f1', '80.h1', '80.l1'], 'contains': ['800.p1', '800.cc1', '800.dg1', '2000.f1', '2000.j1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5159, -1, 6498, -1], 'generators': [10004, 17984, 17920, 10000], 'label': '40000.op.400.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.y1', 'old_label': '400.y1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.y1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608791
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.h1', '200.e1'], 'contains': ['800.q1', '800.cd1', '800.dh1', '2000.f1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2456, -1, 4389, -1], 'generators': [10004, 3584, 29120, 10000], 'label': '40000.op.400.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.e1', 'old_label': '400.z1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.z1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608792
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.h1', '200.cb1'], 'contains': ['800.q2', '800.cd2', '800.dh2', '2000.f1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2879, -1, 4613, -1], 'generators': [10004, 29184, 29120, 20176], 'label': '40000.op.400.z2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.cb1', 'old_label': '400.z2', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.z2', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608793
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.h1', '80.k1', '200.f1', '200.j1', '200.bc1', '200.bu1', '200.cc1'], 'contains': ['800.r1', '800.ce1', '800.di1', '2000.f1', '2000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3419, -1, 5922, -1], 'generators': [10004, 32384, 32320, 17808], 'label': '40000.op.400.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '400.ba1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ba1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608794
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.g1', '80.k1', '200.k1'], 'contains': ['800.s1', '800.cf1', '800.dj1', '2000.g1', '2000.h1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5734, -1, 6570, -1], 'generators': [10000, 32384, 30720, 10004], 'label': '40000.op.400.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.k1', 'old_label': '400.bb1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bb1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608795
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.e1', '80.f1', '80.g1', '80.l1', '200.bv1'], 'contains': ['800.t1', '800.cg1', '800.dk1', '2000.g1', '2000.j1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5073, -1, 6894, -1], 'generators': [10000, 17984, 27520, 13956], 'label': '40000.op.400.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bv1', 'old_label': '400.bc1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bc1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608796
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.f1', '80.g1', '80.l1'], 'contains': ['800.u1', '800.ch1', '800.dl1', '2000.g1', '2000.j1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5460, -1, 6715, -1], 'generators': [10004, 17984, 6720, 10000], 'label': '40000.op.400.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bd1', 'old_label': '400.bd1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bd1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608797
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.g1', '200.l1'], 'contains': ['800.v1', '800.ci1', '800.dm1', '2000.g1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5504, -1, 5490, -1], 'generators': [10000, 8384, 37120, 10004], 'label': '40000.op.400.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.l1', 'old_label': '400.be1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.be1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608798
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.be2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.g1', '200.bn1'], 'contains': ['800.v2', '800.ci2', '800.dm2', '2000.g1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [4770, -1, 5233, -1], 'generators': [10004, 33984, 14720, 16016], 'label': '40000.op.400.be2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bn1', 'old_label': '400.be2', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.be2', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608799
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.g1', '80.k1', '200.n1', '200.bd1', '200.bo1', '200.bw1', '200.cd1'], 'contains': ['800.w1', '800.cj1', '800.dn1', '2000.g1', '2000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [7499, -1, 5994, -1], 'generators': [10004, 1984, 14720, 13968], 'label': '40000.op.400.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '400.bf1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bf1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608800
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': ['20000.b1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.h1', '4.i1', '4.l1', '50.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2723, 2384, 5451, 2441], 'generators': [8000, 1600, 3170, 19264, 10004, 11520, 7393, 168, 15568], 'label': '40000.op.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.h1', '4.i1', '4.l1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '20000.bq', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608801
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '4.g1', '4.j1', '4.n1', '4.o1'], 'contains': ['16.a1', '16.b1', '40.i1', '40.j1'], 'core': '8.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7213, 8023, 8182, 8215], 'generators': [27113, 9600, 38852, 17664, 10000, 8000, 3520], 'label': '40000.op.8.e1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.e1', 'normal_contained_in': ['4.e1', '4.g1', '4.j1', '4.n1', '4.o1'], 'normal_contains': ['16.a1', '16.b1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608802
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.i1', '80.k1', '200.be1'], 'contains': ['800.x1', '800.ck1', '800.do1', '2000.h1', '2000.i1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [9323, -1, 7169, -1], 'generators': [10004, 33984, 33600, 15172], 'label': '40000.op.400.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.be1', 'old_label': '400.bg1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bg1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608803
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.f1', '80.k1', '200.bf1'], 'contains': ['800.y1', '800.cl1', '800.dp1', '2000.h1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [8553, -1, 7038, -1], 'generators': [10004, 1984, 21120, 38212], 'label': '40000.op.400.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bf1', 'old_label': '400.bh1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bh1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608804
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.i1', '80.k1', '200.m1', '200.q1', '200.z1', '200.bg1', '200.ce1'], 'contains': ['800.z1', '800.cm1', '800.dq1', '2000.h1', '2000.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9566, -1, 7474, -1], 'generators': [10004, 1984, 9600, 25168], 'label': '40000.op.400.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '400.bi1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bi1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608805
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.i1', '80.l1', '200.r1'], 'contains': ['800.ba1', '800.cn1', '800.dr1', '2000.i1', '2000.j1', '2000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [7611, -1, 7402, -1], 'generators': [10000, 17984, 9600, 10004], 'label': '40000.op.400.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.r1', 'old_label': '400.bj1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bj1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608806
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.i1', '80.l1', '200.t1', '200.ba1', '200.bh1', '200.bx1'], 'contains': ['800.bb1', '800.co1', '800.ds1', '2000.i1', '2000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9473, -1, 7750, -1], 'generators': [10004, 17984, 33600, 10000], 'label': '40000.op.400.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '400.bk1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bk1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608807
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.f1', '80.l1', '200.s1'], 'contains': ['800.bc1', '800.cp1', '800.dt1', '2000.j1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [6160, -1, 7241, -1], 'generators': [10000, 17984, 5120, 10004], 'label': '40000.op.400.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.s1', 'old_label': '400.bl1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bl1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608808
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.e1', '80.f1'], 'contains': ['800.bd1', '800.cq1', '800.du1', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5330, -1, 6066, -1], 'generators': [10004, 27584, 6720, 10000], 'label': '40000.op.400.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm1', 'old_label': '400.bm1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bm1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608809
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.e1', '80.f1'], 'contains': ['800.bd2', '800.cq2', '800.du2', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5286, -1, 6282, -1], 'generators': [10004, 8384, 17920, 10000], 'label': '40000.op.400.bm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm2', 'old_label': '400.bm2', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bm2', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608810
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bm3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.f1'], 'contains': ['800.bd3', '800.cq3', '800.du3', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5028, -1, 6138, -1], 'generators': [10004, 6784, 17920, 10000], 'label': '40000.op.400.bm3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm3', 'old_label': '400.bm3', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bm3', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608811
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bm4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '80.f1'], 'contains': ['800.bd4', '800.cq4', '800.du4', '2000.k1', '2000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5417, -1, 6210, -1], 'generators': [10004, 6784, 37120, 10000], 'label': '40000.op.400.bm4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm4', 'old_label': '400.bm4', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bm4', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608812
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.c1', '4.h1', '4.n1', '4.p1'], 'contains': ['16.a1', '16.j1', '40.k1', '40.l1'], 'core': '8.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [2680, 6476, 4201, 6631], 'generators': [7393, 9600, 15568, 1664, 10004, 8000, 16320], 'label': '40000.op.8.f1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.f1', 'normal_contained_in': ['4.b1', '4.c1', '4.h1', '4.n1', '4.p1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608813
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.m1', '80.n1', '200.n1'], 'contains': ['800.w1', '2000.m1', '2000.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [8254, -1, 4908, -1], 'generators': [30154, 14720, 10004, 1984], 'label': '40000.op.400.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '400.bn1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bn1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205608814
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.m1', '80.o1', '200.h1'], 'contains': ['800.g1', '2000.m1', '2000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [8091, -1, 4028, -1], 'generators': [21578, 10004, 33024, 17600], 'label': '40000.op.400.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '400.bo1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bo1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608815
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.m1', '80.o1', '200.i1'], 'contains': ['800.o1', '2000.m1', '2000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [8004, -1, 4244, -1], 'generators': [18890, 10004, 11264, 14720], 'label': '40000.op.400.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '400.bp1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bp1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608816
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.n1', '80.p1', '200.j1'], 'contains': ['800.r1', '2000.n1', '2000.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8917, -1, 6426, -1], 'generators': [31498, 10004, 2944, 320], 'label': '40000.op.400.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '400.bq1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bq1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608817
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.n1', '80.o1', '200.k1'], 'contains': ['800.s1', '2000.m1', '2000.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [8378, -1, 4836, -1], 'generators': [3170, 10004, 30784, 22720], 'label': '40000.op.400.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.d1', 'old_label': '400.br1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.br1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608818
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.m1', '80.p1', '200.k1'], 'contains': ['800.s1', '2000.n1', '2000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [8421, -1, 4764, -1], 'generators': [18890, 10004, 11264, 30720], 'label': '40000.op.400.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.c1', 'old_label': '400.bs1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bs1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608819
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.m1', '80.o1', '200.l1'], 'contains': ['800.v1', '2000.m1', '2000.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [8048, -1, 4172, -1], 'generators': [30154, 10004, 33024, 14720], 'label': '40000.op.400.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.c1', 'old_label': '400.bt1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bt1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608820
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.n1', '80.p1', '200.m1'], 'contains': ['800.z1', '2000.n1', '2000.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [9118, -1, 6966, -1], 'generators': [22922, 10004, 21184, 9600], 'label': '40000.op.400.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '400.bu1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bu1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608821
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bv1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.o1', '80.p1', '200.n1'], 'contains': ['800.w1', '2000.o1', '2000.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8290, -1, 4968, -1], 'generators': [27210, 21184, 9920, 10004], 'label': '40000.op.400.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '400.bv1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bv1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608822
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bw1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.q1', '80.r1', '200.t1'], 'contains': ['800.bb1', '2000.q1', '2000.r1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9794, -1, 8203, -1], 'generators': [7233, 9600, 10004, 6144], 'label': '40000.op.400.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '400.bw1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bw1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205608823
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.d1', '4.h1', '4.k1', '4.l1', '4.o1', '4.p1'], 'contains': ['16.a1', '16.i1', '40.m1', '40.n1', '40.o1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [3173, 4137, 7827, 4236], 'generators': [2, 9600, 4, 17984, 10000, 8000, 14720], 'label': '40000.op.8.g1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.g1', 'normal_contained_in': ['4.a1', '4.d1', '4.h1', '4.k1', '4.l1', '4.o1', '4.p1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608824
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.q1', '80.s1', '200.o1'], 'contains': ['800.i1', '2000.q1', '2000.s1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9928, -1, 8275, -1], 'generators': [7233, 10004, 33600, 8000], 'label': '40000.op.400.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '400.bx1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bx1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608825
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.r1', '80.t1', '200.p1'], 'contains': ['800.o1', '2000.r1', '2000.t1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [9430, -1, 7857, -1], 'generators': [7233, 10004, 24384, 24320], 'label': '40000.op.400.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '400.by1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.by1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608826
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.q1', '80.s1', '200.q1'], 'contains': ['800.z1', '2000.q1', '2000.s1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9982, -1, 8398, -1], 'generators': [7233, 10004, 11584, 9600], 'label': '40000.op.400.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '400.bz1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.bz1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608827
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.r1', '80.s1', '200.r1'], 'contains': ['800.ba1', '2000.q1', '2000.t1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [9722, -1, 8060, -1], 'generators': [7233, 10004, 17984, 9600], 'label': '40000.op.400.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.f1', 'old_label': '400.ca1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ca1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608828
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.q1', '80.t1', '200.r1'], 'contains': ['800.ba1', '2000.r1', '2000.s1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [9668, -1, 8132, -1], 'generators': [7233, 10004, 33600, 6144], 'label': '40000.op.400.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.e1', 'old_label': '400.cb1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cb1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608829
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.r1', '80.t1', '200.s1'], 'contains': ['800.bc1', '2000.r1', '2000.t1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [9385, -1, 7929, -1], 'generators': [7233, 10004, 38784, 21120], 'label': '40000.op.400.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.f1', 'old_label': '400.cc1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cc1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608830
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.cd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.s1', '80.t1', '200.t1'], 'contains': ['800.bb1', '2000.s1', '2000.t1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9842, -1, 8336, -1], 'generators': [7233, 17984, 33600, 10004], 'label': '40000.op.400.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.h1', 'old_label': '400.cd1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cd1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608831
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.u1', '80.v1', '200.a1'], 'contains': ['800.bf1', '800.bg1', '800.bo1', '2000.u1', '2000.v1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [456, -1, 2548, -1], 'generators': [16160, 13184, 8320, 14916], 'label': '40000.op.400.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.a1', 'old_label': '400.ce1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ce1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608832
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.v1', '200.b1'], 'contains': ['800.bh1', '800.bt1', '2000.u1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [434, -1, 2440, -1], 'generators': [25120, 11264, 8000, 29060], 'label': '40000.op.400.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.f1', 'old_label': '400.cf1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cf1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608833
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.v1', '200.c1', '200.ch1'], 'contains': ['800.bi1', '800.bv1', '2000.u1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [48, -1, 2741, -1], 'generators': [16160, 11584, 8320, 10116], 'label': '40000.op.400.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '400.cg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cg1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608834
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.f1', '4.g1', '4.m1', '4.p1'], 'contains': ['16.a1', '16.k1', '40.p1', '40.q1'], 'core': '8.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [3831, 4901, 4626, 5018], 'generators': [5347, 17600, 19984, 10624, 10004, 8000, 16320], 'label': '40000.op.8.h1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.h1', 'normal_contained_in': ['4.d1', '4.f1', '4.g1', '4.m1', '4.p1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608835
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.u1', '200.d1'], 'contains': ['800.bj1', '800.cb1', '2000.v1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [1341, -1, 2812, -1], 'generators': [8160, 24384, 24320, 8772], 'label': '40000.op.400.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.e1', 'old_label': '400.ch1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ch1', 'subgroup_fusion': None, 'weyl_group': '200.43'}
  • id: 205608836
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.u1', '200.e1'], 'contains': ['800.bk1', '800.cd1', '2000.v1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [862, -1, 2776, -1], 'generators': [24160, 37184, 32320, 38916], 'label': '40000.op.400.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.e1', 'old_label': '400.ci1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ci1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608837
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.u1', '200.f1', '200.ci1'], 'contains': ['800.bl1', '800.ce1', '2000.v1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [578, -1, 3004, -1], 'generators': [160, 1984, 320, 3972], 'label': '40000.op.400.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.k1', 'old_label': '400.cj1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cj1', 'subgroup_fusion': None, 'weyl_group': '200.43'}
  • id: 205608838
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.w1', '80.x1', '200.a1'], 'contains': ['800.bf1', '800.bg1', '800.cs1', '2000.w1', '2000.x1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [547, -1, 461, -1], 'generators': [1097, 28224, 38720, 15568], 'label': '40000.op.400.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.a1', 'old_label': '400.ck1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ck1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608839
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.x1', '200.b1', '200.cf1'], 'contains': ['800.bh1', '800.cx1', '2000.w1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [403, -1, 190, -1], 'generators': [16160, 8320, 1600, 38160], 'label': '40000.op.400.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '400.cl1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cl1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608840
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.x1', '200.c1', '200.cg1'], 'contains': ['800.bi1', '800.cz1', '2000.w1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [83, -1, 386, -1], 'generators': [25120, 9600, 8000, 10000], 'label': '40000.op.400.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.g1', 'old_label': '400.cm1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cm1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608841
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.w1', '200.d1'], 'contains': ['800.bj1', '800.df1', '2000.x1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [1556, -1, 1059, -1], 'generators': [8160, 24384, 24320, 18576], 'label': '40000.op.400.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.b1', 'old_label': '400.cn1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cn1', 'subgroup_fusion': None, 'weyl_group': '200.43'}
  • id: 205608842
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.w1', '200.e1'], 'contains': ['800.bk1', '800.dh1', '2000.x1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [1087, -1, 804, -1], 'generators': [12297, 2624, 17920, 31568], 'label': '40000.op.400.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.e1', 'old_label': '400.co1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.co1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608843
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.w1', '200.f1'], 'contains': ['800.bl1', '800.di1', '2000.x1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [1066, -1, 1144, -1], 'generators': [160, 1984, 320, 8976], 'label': '40000.op.400.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.c1', 'old_label': '400.cp1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cp1', 'subgroup_fusion': None, 'weyl_group': '200.43'}
  • id: 205608844
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.u1', '80.v1', '200.g1'], 'contains': ['800.be1', '800.bm1', '800.bs1', '2000.u1', '2000.v1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [268, -1, 2494, -1], 'generators': [160, 8320, 8000, 32324], 'label': '40000.op.400.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '400.cq1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cq1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608845
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1'], 'contains': ['16.c1', '16.h1', '16.j1', '40.r1'], 'core': '16.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [1950, -1, 1365, -1], 'generators': [7393, 17600, 15568, 23424, 168, 8000, 14720], 'label': '40000.op.8.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.i1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '10000.bw'}
  • id: 205608846
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.w1', '80.x1', '200.g1', '200.cj1'], 'contains': ['800.be1', '800.bm1', '800.cw1', '2000.w1', '2000.x1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [215, -1, 244, -1], 'generators': [160, 32320, 8000, 18320], 'label': '40000.op.400.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '400.cr1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cr1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608847
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.y1', '200.bb1', '200.ch1'], 'contains': ['800.bv1', '2000.z1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1424, -1, 9221, -1], 'generators': [27113, 9600, 8000, 38852], 'label': '40000.op.400.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '400.cs1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cs1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608848
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.z1', '200.bc1', '200.ci1', '200.ck1'], 'contains': ['800.ce1', '2000.y1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [4578, -1, 9660, -1], 'generators': [31465, 1984, 320, 39812], 'label': '40000.op.400.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '400.ct1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ct1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608849
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.z1', '200.bd1', '200.cl1'], 'contains': ['800.cj1', '2000.y1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [8749, -1, 9778, -1], 'generators': [37033, 30784, 11520, 11844], 'label': '40000.op.400.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '400.cu1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cu1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608850
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.y1', '80.z1', '200.be1'], 'contains': ['800.ck1', '2000.y1', '2000.z1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [9226, -1, 9896, -1], 'generators': [28921, 14784, 33600, 8964], 'label': '40000.op.400.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.be1', 'old_label': '400.cv1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cv1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608851
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.z1', '200.bf1'], 'contains': ['800.cl1', '2000.y1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [9182, -1, 9857, -1], 'generators': [27641, 1984, 21120, 35012], 'label': '40000.op.400.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bf1', 'old_label': '400.cw1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cw1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608852
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.y1', '80.z1', '200.bg1'], 'contains': ['800.cm1', '2000.y1', '2000.z1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [9277, -1, 9940, -1], 'generators': [27113, 1984, 9600, 38852], 'label': '40000.op.400.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '400.cx1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cx1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608853
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.y1', '200.bh1', '200.cm1'], 'contains': ['800.co1', '2000.z1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [9249, -1, 9984, -1], 'generators': [8505, 24384, 33600, 8516], 'label': '40000.op.400.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '400.cy1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cy1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608854
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bb1', '200.bp1'], 'contains': ['800.bs1', '2000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2081, -1, 9103, -1], 'generators': [28867, 16320, 8000, 34628], 'label': '40000.op.400.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bm1', 'old_label': '400.cz1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.cz1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608855
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.ba1', '200.bq1'], 'contains': ['800.bt1', '2000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2682, -1, 9142, -1], 'generators': [30723, 28224, 17600, 35588], 'label': '40000.op.400.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.r1', 'old_label': '400.da1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.da1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608856
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1'], 'contains': ['16.b1', '16.g1', '200.ch1', '200.ci1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [692, -1, 8115, -1], 'generators': [23897, 17600, 5508, 24704, 160, 8000, 32320], 'label': '40000.op.8.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.j1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '10000.bw'}
  • id: 205608857
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.ba1', '80.bb1', '200.br1'], 'contains': ['800.by1', '2000.ba1', '2000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [3029, -1, 9318, -1], 'generators': [2, 1344, 9920, 4], 'label': '40000.op.400.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.br1', 'old_label': '400.db1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.db1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608858
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.bb1', '80.bc1', '200.bs1'], 'contains': ['800.ca1', '2000.ba1', '2000.bc1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [3336, -1, 9505, -1], 'generators': [2, 17984, 37120, 4], 'label': '40000.op.400.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bs1', 'old_label': '400.dc1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dc1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608859
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.ba1', '80.bb1', '80.bc1', '200.bt1'], 'contains': ['800.cb1', '2000.ba1', '2000.bb1', '2000.bc1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [3363, -1, 9461, -1], 'generators': [2, 17984, 14720, 4], 'label': '40000.op.400.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.s1', 'old_label': '400.dd1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dd1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608860
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bc1', '200.bt2'], 'contains': ['800.cb1', '2000.bc1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [4301, -1, 9358, -1], 'generators': [25795, 17984, 14720, 39428], 'label': '40000.op.400.dd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bn1', 'old_label': '400.dd2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dd2', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608861
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bb1', '200.bu1', '200.ck1'], 'contains': ['800.ce1', '2000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [3152, -1, 9181, -1], 'generators': [2, 32384, 32320, 4], 'label': '40000.op.400.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bj1', 'old_label': '400.de1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.de1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608862
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.ba1', '80.bc1', '200.bv1'], 'contains': ['800.cg1', '2000.bb1', '2000.bc1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [3937, -1, 9739, -1], 'generators': [2, 17984, 9920, 4], 'label': '40000.op.400.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bv1', 'old_label': '400.df1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.df1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608863
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.ba1', '200.bw1', '200.cl1'], 'contains': ['800.cj1', '2000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [6203, -1, 9700, -1], 'generators': [2, 31104, 9920, 4], 'label': '40000.op.400.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '400.dg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dg1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608864
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bc1', '200.bx1', '200.cm1'], 'contains': ['800.co1', '2000.bc1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [8863, -1, 9818, -1], 'generators': [1731, 17984, 33600, 17540], 'label': '40000.op.400.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bl1', 'old_label': '400.dh1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dh1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608865
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bd1', '80.be1', '200.u1'], 'contains': ['800.cv1', '2000.bd1', '2000.be1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5547, -1, 1436, -1], 'generators': [18556, 16384, 17600, 9296], 'label': '40000.op.400.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.u1', 'old_label': '400.di1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.di1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608866
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.be1', '200.v1', '200.cj1', '200.cn1'], 'contains': ['800.cw1', '2000.bd1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2027, -1, 74, -1], 'generators': [17916, 24320, 8000, 24976], 'label': '40000.op.400.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '400.dj1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dj1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608867
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.o1'], 'contains': ['16.b1', '16.i1', '200.ck1', '200.cl1', '200.cm1'], 'core': '16.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [7173, -1, 9536, -1], 'generators': [27113, 33600, 38852, 19584, 2, 8000, 9920], 'label': '40000.op.8.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '8.k1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '10000.ce'}
  • id: 205608868
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.be1', '200.w1', '200.cf1'], 'contains': ['800.cx1', '2000.bd1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1904, -1, 300, -1], 'generators': [18556, 10624, 17600, 9296], 'label': '40000.op.400.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '400.dk1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dk1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608869
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.be1', '200.x1'], 'contains': ['800.cy1', '2000.bd1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2192, -1, 982, -1], 'generators': [18556, 12224, 8000, 9296], 'label': '40000.op.400.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.x1', 'old_label': '400.dl1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dl1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608870
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.bd1', '80.be1', '200.y1', '200.cg1'], 'contains': ['800.cz1', '2000.bd1', '2000.be1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2302, -1, 1101, -1], 'generators': [18556, 9600, 8000, 9296], 'label': '40000.op.400.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '400.dm1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dm1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608873
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.bf1', '80.bg1', '200.bi1'], 'contains': ['800.ct1', '2000.bf1', '2000.bg1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [2105, -1, 499, -1], 'generators': [8, 21504, 13120, 16], 'label': '40000.op.400.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bi1', 'old_label': '400.dp1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dp1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608874
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.bg1', '200.bj1', '200.cj1'], 'contains': ['800.cw1', '2000.bf1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1318, -1, 113, -1], 'generators': [7393, 2624, 25600, 15568], 'label': '40000.op.400.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '400.dq1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dq1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608875
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bf1', '80.bg1', '200.bk1', '200.cf1'], 'contains': ['800.cx1', '2000.bf1', '2000.bg1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [1824, -1, 344, -1], 'generators': [7393, 8704, 25600, 15568], 'label': '40000.op.400.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '400.dr1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dr1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608876
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.bg1', '200.bl1', '200.cg1'], 'contains': ['800.cz1', '2000.bf1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [904, -1, 424, -1], 'generators': [7393, 9600, 8000, 15568], 'label': '40000.op.400.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.g1', 'old_label': '400.ds1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ds1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608877
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bf1', '200.bm1'], 'contains': ['800.df1', '2000.bg1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2716, -1, 1230, -1], 'generators': [7393, 64, 24320, 15568], 'label': '40000.op.400.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.s1', 'old_label': '400.dt1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dt1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608878
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.m1'], 'contains': ['16.c1', '16.k1', '200.cn1', '200.co1'], 'core': '16.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3549, -1, 1527, -1], 'generators': [5347, 25600, 19984, 6144, 18556, 8000, 11520], 'label': '40000.op.8.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '8.l1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': '10000.bw'}
  • id: 205608879
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bf1', '200.bn1'], 'contains': ['800.dm2', '2000.bg1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [2369, -1, 1269, -1], 'generators': [8, 26304, 11520, 16], 'label': '40000.op.400.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bn1', 'old_label': '400.du1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.du1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608880
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bf1', '200.bo1'], 'contains': ['800.dn1', '2000.bg1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [3128, -1, 1309, -1], 'generators': [8, 34304, 11520, 16], 'label': '40000.op.400.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.w1', 'old_label': '400.dv1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dv1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608881
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bh1', '200.by1', '200.cn1'], 'contains': ['800.cw1', '2000.bh1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2628, -1, 153, -1], 'generators': [34955, 39424, 25600, 13008], 'label': '40000.op.400.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bf1', 'old_label': '400.dw1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dw1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608882
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['80.bh1', '80.bi1', '200.bz1'], 'contains': ['800.dd1', '2000.bh1', '2000.bi1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [5192, -1, 626, -1], 'generators': [26827, 32384, 33920, 38224], 'label': '40000.op.400.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bz1', 'old_label': '400.dx1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dx1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608883
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bh1', '200.ca1'], 'contains': ['800.df1', '2000.bh1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [3005, -1, 1022, -1], 'generators': [11595, 8704, 24320, 3984], 'label': '40000.op.400.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.n1', 'old_label': '400.dy1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dy1', 'subgroup_fusion': None, 'weyl_group': '200.43'}
  • id: 205608884
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bh1', '200.cb1'], 'contains': ['800.dh2', '2000.bh1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [2982, -1, 538, -1], 'generators': [17227, 7104, 32320, 38608], 'label': '40000.op.400.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.cb1', 'old_label': '400.dz1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.dz1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608885
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.bh1', '80.bi1', '200.cc1'], 'contains': ['800.di1', '2000.bh1', '2000.bi1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3581, -1, 582, -1], 'generators': [3787, 32384, 32320, 4240], 'label': '40000.op.400.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.p1', 'old_label': '400.ea1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ea1', 'subgroup_fusion': None, 'weyl_group': '200.42'}
  • id: 205608886
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['80.bi1', '200.cd1'], 'contains': ['800.dn1', '2000.bi1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [7715, -1, 1348, -1], 'generators': [22987, 30784, 11520, 592], 'label': '40000.op.400.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.v1', 'old_label': '400.eb1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.eb1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608887
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '400.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.bi1', '200.ce1', '200.co1'], 'contains': ['800.dq1', '2000.bi1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [7768, -1, 1475, -1], 'generators': [28515, 30144, 33600, 8272], 'label': '40000.op.400.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '400.ec1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.ec1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608888
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.f1', '100.g1', '100.l1'], 'contains': ['1000.a1', '1000.g1', '1000.k1', '1000.r1', '2500.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [134, -1, 2829, -1], 'generators': [7393, 10004, 15568, 23592, 25600], 'label': '40000.op.500.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '500.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500.a1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205608889
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1', '8.g1', '8.h1'], 'contains': ['32.a1', '32.b1', '32.c1', '80.e1', '80.f1', '80.g1', '80.h1', '80.i1', '80.j1', '80.k1', '80.l1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4849, 5292, 5879, 5419], 'generators': [10004, 8000, 17984, 14720, 10000, 9600], 'label': '40000.op.16.a1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1', '8.g1', '8.h1'], 'normal_contains': ['32.a1', '32.b1', '32.c1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608890
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '500.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['100.h1', '100.i1', '100.m1'], 'contains': ['1000.b1', '1000.m1', '1000.p1', '2500.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [1537, -1, 4111, -1], 'generators': [35851, 10004, 19792, 9120, 64], 'label': '40000.op.500.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.b1', 'old_label': '500.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608891
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '500.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.p1', '100.q1', '100.v1'], 'contains': ['1000.d1', '1000.i1', '1000.q1', '2500.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [8866, -1, 7045, -1], 'generators': [31145, 34820, 4496, 21578, 1984], 'label': '40000.op.500.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '500.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500.c1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205608892
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '500.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['100.r1', '100.s1', '100.w1'], 'contains': ['1000.c1', '1000.l1', '1000.n1', '2500.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [2839, -1, 5662, -1], 'generators': [7393, 10004, 15568, 21578, 23424], 'label': '40000.op.500.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '500.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500.d1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205608893
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '500.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['100.x1', '100.y1', '100.ba1'], 'contains': ['1000.e1', '1000.h1', '1000.j1', '2500.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 500, 'diagramx': [9843, -1, 8060, -1], 'generators': [2049, 10004, 9296, 168, 9600], 'label': '40000.op.500.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '500.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500.e1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205608894
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '500.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.z1', '100.bb1'], 'contains': ['1000.f1', '1000.o1', '2500.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [6845, -1, 8539, -1], 'generators': [4865, 10004, 22800, 170, 17344], 'label': '40000.op.500.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.f1', 'old_label': '500.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500.f1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608895
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '625.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['1250.a1', '1250.b1', '1250.c1', '1250.d1', '1250.e1', '1250.f1', '1250.g1', '1250.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [108, -1, 6787, -1], 'generators': [11265, 2, 33416, 1120], 'label': '40000.op.625.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '625.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '625.a1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 205608896
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.c1', '160.d1', '160.f1', '400.j1'], 'contains': ['1600.a1', '4000.a1', '4000.b1', '4000.c1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [5933, -1, 3747, -1], 'generators': [10004, 8320, 37184], 'label': '40000.op.800.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608897
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.d1', '160.f1', '400.b1', '400.c1', '400.k1'], 'contains': ['1600.b1', '4000.a1', '4000.b1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1384, -1, 3465, -1], 'generators': [10004, 8000, 20864], 'label': '40000.op.800.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '800.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205608898
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.c1', '160.f1', '400.l1'], 'contains': ['1600.c1', '4000.a1', '4000.c1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7137, -1, 3958, -1], 'generators': [10004, 25600, 31424], 'label': '40000.op.800.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.f1', 'old_label': '800.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.c1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608899
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.c1', '160.d1', '160.e1', '400.m1'], 'contains': ['1600.d1', '4000.a1', '4000.d1', '4000.f1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7725, -1, 5446, -1], 'generators': [10004, 25600, 9984], 'label': '40000.op.800.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608900
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '8.j1', '8.k1'], 'contains': ['32.b1', '80.y1', '80.z1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8452, 6761, 9438, 7324], 'generators': [8505, 8000, 24384, 24320, 8516, 33600], 'label': '40000.op.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.e1'], 'normal_contains': ['32.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608901
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.e1', '160.f1', '400.n1'], 'contains': ['1600.e1', '4000.a1', '4000.e1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7190, -1, 4732, -1], 'generators': [10004, 17600, 33984], 'label': '40000.op.800.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '800.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.e1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608902
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.d1', '160.f1', '400.a1', '400.i1', '400.o1'], 'contains': ['1600.f1', '4000.a1', '4000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [883, -1, 3006, -1], 'generators': [10004, 8000, 16320], 'label': '40000.op.800.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '800.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.f1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205608903
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.c1', '160.f1', '400.d1', '400.p1', '400.bo1'], 'contains': ['1600.g1', '4000.a1', '4000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2212, -1, 3394, -1], 'generators': [10004, 8000, 11264], 'label': '40000.op.800.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '800.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.g1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205608904
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.b1', '160.f1', '400.q1'], 'contains': ['1600.h1', '4000.a1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2370, -1, 3605, -1], 'generators': [10004, 8000, 20224], 'label': '40000.op.800.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '800.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.h1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608905
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.e1', '160.f1', '400.e1', '400.r1', '400.bx1'], 'contains': ['1600.i1', '4000.a1', '4000.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1636, -1, 5340, -1], 'generators': [10004, 8000, 9600], 'label': '40000.op.800.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '800.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.i1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205608906
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.c1', '160.d1', '160.g1', '400.s1'], 'contains': ['1600.j1', '4000.b1', '4000.c1', '4000.d1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7682, -1, 4310, -1], 'generators': [10004, 30720, 27584], 'label': '40000.op.800.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608907
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.f1', '160.g1', '160.h1', '400.t1'], 'contains': ['1600.k1', '4000.b1', '4000.c1', '4000.e1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7864, -1, 4450, -1], 'generators': [10004, 9600, 19264], 'label': '40000.op.800.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608908
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.c1', '160.d1', '400.u1'], 'contains': ['1600.l1', '4000.b1', '4000.c1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6362, -1, 3887, -1], 'generators': [10004, 27520, 6784], 'label': '40000.op.800.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '800.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.l1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608909
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.d1', '160.g1', '400.v1'], 'contains': ['1600.m1', '4000.b1', '4000.d1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6749, -1, 4380, -1], 'generators': [10004, 5120, 1984], 'label': '40000.op.800.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '800.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.m1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608910
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.d1', '160.h1', '400.w1'], 'contains': ['1600.n1', '4000.b1', '4000.f1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7094, -1, 4661, -1], 'generators': [10004, 33920, 3584], 'label': '40000.op.800.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '800.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.n1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608911
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': ['20000.b1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '4.l1', '4.m1', '4.p1', '50.e1'], 'core': '2.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2639, 3460, 4626, 3543], 'generators': [8000, 9600, 8, 34944, 17988, 320, 6147, 160, 16], 'label': '40000.op.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '4.l1', '4.m1', '4.p1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '20000.bq', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608912
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.i1', '8.l1'], 'contains': ['32.c1', '80.bd1', '80.be1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3562, 3840, 1568, 3932], 'generators': [168, 8000, 24384, 13120, 9296, 33600], 'label': '40000.op.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.d1'], 'normal_contains': ['32.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205608913
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.c1', '160.d1', '160.h1', '400.f1', '400.x1', '400.bp1', '400.by1'], 'contains': ['1600.o1', '4000.b1', '4000.c1', '4000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8022, -1, 4028, -1], 'generators': [10004, 14720, 17984], 'label': '40000.op.800.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '800.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.o1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205608914
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.b1', '160.d1', '160.h1', '400.y1'], 'contains': ['1600.p1', '4000.b1', '4000.f1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6886, -1, 4521, -1], 'generators': [10004, 16320, 6784], 'label': '40000.op.800.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608915
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.d1', '400.g1', '400.z1'], 'contains': ['1600.q1', '4000.b1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1495, -1, 3535, -1], 'generators': [10004, 32320, 37184], 'label': '40000.op.800.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '800.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205608916
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.d1', '400.z2'], 'contains': ['1600.q2', '4000.b1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2763, -1, 3817, -1], 'generators': [10004, 1920, 6784], 'label': '40000.op.800.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '800.q2', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.q2', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608917
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.d1', '160.g1', '400.h1', '400.ba1', '400.bq1'], 'contains': ['1600.r1', '4000.b1', '4000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3512, -1, 4239, -1], 'generators': [10004, 320, 1984], 'label': '40000.op.800.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '800.r1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.r1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205608918
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.c1', '160.g1', '400.bb1', '400.br1', '400.bs1'], 'contains': ['1600.s1', '4000.c1', '4000.d1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8394, -1, 5153, -1], 'generators': [10004, 30720, 32384], 'label': '40000.op.800.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '800.s1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.s1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205608919
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.a1', '160.b1', '160.c1', '160.h1', '400.bc1'], 'contains': ['1600.t1', '4000.c1', '4000.f1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7927, -1, 5083, -1], 'generators': [10004, 13120, 33984], 'label': '40000.op.800.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '800.t1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.t1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608920
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.b1', '160.c1', '160.h1', '400.bd1'], 'contains': ['1600.u1', '4000.c1', '4000.f1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7970, -1, 5013, -1], 'generators': [10004, 14720, 37184], 'label': '40000.op.800.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.u1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608921
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.c1', '400.be1', '400.bt1'], 'contains': ['1600.v1', '4000.c1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8109, -1, 4169, -1], 'generators': [10004, 37120, 8384], 'label': '40000.op.800.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '800.v1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.v1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205608922
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.v2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.c1', '400.be2'], 'contains': ['1600.v2', '4000.c1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7787, -1, 4098, -1], 'generators': [10004, 17920, 27584], 'label': '40000.op.800.v2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.f1', 'old_label': '800.v2', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.v2', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608923
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1'], 'contains': ['32.a1', '32.d1', '80.a1', '80.b1', '80.c1', '80.d1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [979, -1, 2095, -1], 'generators': [37897, 25600, 14720, 8000, 10004, 39424], 'label': '40000.op.16.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608924
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.c1', '160.g1', '400.bf1', '400.bn1', '400.bv1'], 'contains': ['1600.w1', '4000.c1', '4000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8436, -1, 5517, -1], 'generators': [10004, 14720, 1984], 'label': '40000.op.800.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '800.w1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.w1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205608925
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.e1', '160.g1', '400.bg1'], 'contains': ['1600.x1', '4000.d1', '4000.e1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [9453, -1, 5734, -1], 'generators': [10004, 33600, 33984], 'label': '40000.op.800.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '800.x1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.x1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608926
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.b1', '160.g1', '400.bh1'], 'contains': ['1600.y1', '4000.d1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8898, -1, 5587, -1], 'generators': [10004, 21120, 1984], 'label': '40000.op.800.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '800.y1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.y1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608927
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.e1', '160.g1', '400.bi1', '400.bu1', '400.bz1'], 'contains': ['1600.z1', '4000.d1', '4000.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9599, -1, 7131, -1], 'generators': [10004, 9600, 1984], 'label': '40000.op.800.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '800.z1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.z1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205608928
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.e1', '160.h1', '400.bj1', '400.ca1', '400.cb1'], 'contains': ['1600.ba1', '4000.e1', '4000.f1', '4000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [9411, -1, 6296, -1], 'generators': [10004, 9600, 9984], 'label': '40000.op.800.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '800.ba1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ba1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205608929
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.e1', '160.h1', '400.bk1', '400.bw1', '400.cd1'], 'contains': ['1600.bb1', '4000.e1', '4000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9664, -1, 7234, -1], 'generators': [10004, 33600, 17984], 'label': '40000.op.800.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.h1', 'old_label': '800.bb1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bb1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205608930
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.b1', '160.h1', '400.bl1', '400.cc1'], 'contains': ['1600.bc1', '4000.f1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8617, -1, 5843, -1], 'generators': [10004, 5120, 17984], 'label': '40000.op.800.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '800.bc1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bc1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205608931
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.a1', '160.b1', '400.bm1'], 'contains': ['1600.bd1', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6844, -1, 4591, -1], 'generators': [10004, 6720, 27584], 'label': '40000.op.800.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.bd1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bd1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608932
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.a1', '160.b1', '400.bm2'], 'contains': ['1600.bd2', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6992, -1, 4943, -1], 'generators': [10004, 17920, 8384], 'label': '40000.op.800.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.bd2', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bd2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608933
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bd3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.b1', '400.bm3'], 'contains': ['1600.bd3', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6940, -1, 4802, -1], 'generators': [10004, 17920, 6784], 'label': '40000.op.800.bd3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.bd3', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bd3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608934
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1'], 'contains': ['32.a1', '80.m1', '80.n1', '80.o1', '80.p1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8146, -1, 5285, -1], 'generators': [30154, 9920, 8000, 10004, 9600, 11264], 'label': '40000.op.16.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '16.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608935
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bd4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.a1', '160.b1', '400.bm4'], 'contains': ['1600.bd4', '4000.g1', '4000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6802, -1, 4872, -1], 'generators': [10004, 37120, 6784], 'label': '40000.op.800.bd4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '800.bd4', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bd4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205608936
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.i1', '160.j1', '400.a1', '400.cq1', '400.cr1'], 'contains': ['1600.f1', '4000.i1', '4000.j1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [269, -1, 1050, -1], 'generators': [37897, 17600, 24704], 'label': '40000.op.800.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '800.be1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.be1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205608937
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['160.i1', '160.l1', '400.b1', '400.ce1', '400.ck1'], 'contains': ['1600.b1', '4000.i1', '4000.l1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 320, 'diagramx': [542, -1, 926, -1], 'generators': [160, 24320, 1600], 'label': '40000.op.800.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '800.bf1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bf1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608938
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['160.j1', '160.k1', '400.c1', '400.ce1', '400.ck1'], 'contains': ['1600.b1', '4000.j1', '4000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 320, 'diagramx': [504, -1, 985, -1], 'generators': [160, 8000, 32064], 'label': '40000.op.800.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.b1', 'old_label': '800.bg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bg1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608939
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.j1', '160.l1', '400.d1', '400.cf1', '400.cl1'], 'contains': ['1600.g1', '4000.i1', '4000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [444, -1, 768, -1], 'generators': [160, 8320, 1600], 'label': '40000.op.800.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '800.bh1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bh1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608940
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.j1', '160.l1', '400.e1', '400.cg1', '400.cm1'], 'contains': ['1600.i1', '4000.i1', '4000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [200, -1, 867, -1], 'generators': [160, 8000, 9600], 'label': '40000.op.800.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '800.bi1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bi1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205608941
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.i1', '160.k1', '400.f1', '400.ch1', '400.cn1'], 'contains': ['1600.o1', '4000.j1', '4000.l1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [1201, -1, 1174, -1], 'generators': [160, 24320, 24384], 'label': '40000.op.800.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '800.bj1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bj1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608942
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['160.i1', '160.k1', '400.g1', '400.ci1', '400.co1'], 'contains': ['1600.q1', '4000.j1', '4000.l1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 320, 'diagramx': [786, -1, 1115, -1], 'generators': [160, 320, 6784], 'label': '40000.op.800.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '800.bk1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bk1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608943
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.i1', '160.k1', '400.h1', '400.cj1', '400.cp1'], 'contains': ['1600.r1', '4000.j1', '4000.l1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [690, -1, 1273, -1], 'generators': [160, 32320, 32384], 'label': '40000.op.800.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '800.bl1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bl1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
  • id: 205608944
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.k1', '160.l1', '400.i1', '400.cq1', '400.cr1'], 'contains': ['1600.f1', '4000.k1', '4000.l1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [352, -1, 817, -1], 'generators': [9673, 25600, 39424], 'label': '40000.op.800.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '800.bm1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bm1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608945
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1'], 'contains': ['32.a1', '80.q1', '80.r1', '80.s1', '80.t1'], 'core': '32.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9482, -1, 7372, -1], 'generators': [7233, 33600, 8000, 10004, 14720, 17984], 'label': '40000.op.16.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.h1', 'old_label': '16.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205608946
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.o1', '160.p1', '160.r1', '400.j1'], 'contains': ['1600.a1', '4000.m1', '4000.n1', '4000.o1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [4242, -1, 7940, -1], 'generators': [4, 8320, 37184], 'label': '40000.op.800.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.j1', 'old_label': '800.bn1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bn1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608947
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.p1', '160.r1', '400.k1', '400.ce1'], 'contains': ['1600.b1', '4000.m1', '4000.n1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [2517, -1, 7626, -1], 'generators': [4, 8000, 20864], 'label': '40000.op.800.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.a1', 'old_label': '800.bo1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bo1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608948
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.o1', '160.r1', '400.l1'], 'contains': ['1600.c1', '4000.m1', '4000.o1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4750, -1, 8019, -1], 'generators': [13252, 25600, 31424], 'label': '40000.op.800.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bi1', 'old_label': '800.bp1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bp1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608949
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.o1', '160.p1', '160.q1', '400.m1'], 'contains': ['1600.d1', '4000.m1', '4000.p1', '4000.r1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [5622, -1, 8625, -1], 'generators': [4, 25600, 9984], 'label': '40000.op.800.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.m1', 'old_label': '800.bq1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bq1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608950
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.q1', '160.r1', '400.n1'], 'contains': ['1600.e1', '4000.m1', '4000.q1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [6307, -1, 8059, -1], 'generators': [20740, 17600, 33984], 'label': '40000.op.800.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.u1', 'old_label': '800.br1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.br1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608951
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.p1', '160.r1', '400.o1', '400.cq1', '400.cz1'], 'contains': ['1600.f1', '4000.m1', '4000.n1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1763, -1, 6958, -1], 'generators': [17284, 8000, 16320], 'label': '40000.op.800.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '800.bs1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bs1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608952
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.o1', '160.r1', '400.p1', '400.cf1', '400.da1'], 'contains': ['1600.g1', '4000.m1', '4000.o1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2119, -1, 6997, -1], 'generators': [2052, 17600, 23424], 'label': '40000.op.800.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '800.bt1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bt1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608953
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.n1', '160.r1', '400.q1'], 'contains': ['1600.h1', '4000.m1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2337, -1, 7546, -1], 'generators': [21700, 8000, 20224], 'label': '40000.op.800.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.x1', 'old_label': '800.bu1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bu1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608954
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.q1', '160.r1', '400.r1', '400.cg1', '400.cs1'], 'contains': ['1600.i1', '4000.m1', '4000.q1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [1603, -1, 7665, -1], 'generators': [1604, 8000, 9600], 'label': '40000.op.800.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '800.bv1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bv1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608955
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.o1', '160.p1', '160.s1', '400.s1'], 'contains': ['1600.j1', '4000.n1', '4000.o1', '4000.p1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [5530, -1, 8426, -1], 'generators': [4, 6720, 6784], 'label': '40000.op.800.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.s1', 'old_label': '800.bw1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bw1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608956
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.j1'], 'contains': ['32.b1', '32.d1', '80.u1', '80.v1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [692, -1, 3006, -1], 'generators': [37897, 8000, 13824, 14720, 4, 25600], 'label': '40000.op.16.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.g1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '10000.bw'}
  • id: 205608957
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.r1', '160.s1', '160.t1', '400.t1'], 'contains': ['1600.k1', '4000.n1', '4000.o1', '4000.q1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [6554, -1, 8506, -1], 'generators': [4, 9600, 39424], 'label': '40000.op.800.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.t1', 'old_label': '800.bx1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bx1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608958
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.o1', '160.p1', '400.u1', '400.db1'], 'contains': ['1600.l1', '4000.n1', '4000.o1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [3367, -1, 7979, -1], 'generators': [29956, 320, 9984], 'label': '40000.op.800.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.br1', 'old_label': '800.by1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.by1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608959
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.p1', '160.s1', '400.v1'], 'contains': ['1600.m1', '4000.n1', '4000.p1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [6001, -1, 8466, -1], 'generators': [836, 5120, 1984], 'label': '40000.op.800.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bz1', 'old_label': '800.bz1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.bz1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608960
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.p1', '160.t1', '400.w1', '400.dc1'], 'contains': ['1600.n1', '4000.n1', '4000.r1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5598, -1, 8704, -1], 'generators': [18500, 33920, 3584], 'label': '40000.op.800.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bs1', 'old_label': '800.ca1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ca1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608961
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.o1', '160.p1', '160.t1', '400.x1', '400.ch1', '400.dd1', '400.dd2'], 'contains': ['1600.o1', '4000.n1', '4000.o1', '4000.r1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3468, -1, 8138, -1], 'generators': [260, 24320, 24384], 'label': '40000.op.800.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '800.cb1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cb1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608962
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.n1', '160.p1', '160.t1', '400.y1'], 'contains': ['1600.p1', '4000.n1', '4000.r1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5850, -1, 8545, -1], 'generators': [4, 16320, 6784], 'label': '40000.op.800.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.y1', 'old_label': '800.cc1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cc1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608963
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.p1', '400.z1', '400.ci1'], 'contains': ['1600.q1', '4000.n1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2541, -1, 7037, -1], 'generators': [4, 32320, 37184], 'label': '40000.op.800.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.e1', 'old_label': '800.cd1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cd1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608964
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.p1', '400.z2'], 'contains': ['1600.q2', '4000.n1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2816, -1, 7586, -1], 'generators': [2436, 1920, 6784], 'label': '40000.op.800.cd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.cb1', 'old_label': '800.cd2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cd2', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608965
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.p1', '160.s1', '400.ba1', '400.cj1', '400.ct1', '400.de1'], 'contains': ['1600.r1', '4000.n1', '4000.p1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3401, -1, 8098, -1], 'generators': [7620, 320, 1984], 'label': '40000.op.800.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '800.ce1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ce1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608966
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.o1', '160.s1', '400.bb1'], 'contains': ['1600.s1', '4000.o1', '4000.p1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [6474, -1, 8585, -1], 'generators': [4, 30720, 32384], 'label': '40000.op.800.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.k1', 'old_label': '800.cf1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cf1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608967
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.i1'], 'contains': ['32.c1', '32.d1', '80.w1', '80.x1'], 'core': '32.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [898, -1, 1168, -1], 'generators': [37897, 8000, 13824, 14720, 10000, 25600], 'label': '40000.op.16.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.h1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '10000.bw'}
  • id: 205608968
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.m1', '160.n1', '160.o1', '160.t1', '400.bc1', '400.df1'], 'contains': ['1600.t1', '4000.o1', '4000.r1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [5747, -1, 8803, -1], 'generators': [37700, 13120, 33984], 'label': '40000.op.800.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bv1', 'old_label': '800.cg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cg1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608969
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.n1', '160.o1', '160.t1', '400.bd1'], 'contains': ['1600.u1', '4000.o1', '4000.r1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [6052, -1, 8665, -1], 'generators': [4, 14720, 37184], 'label': '40000.op.800.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bd1', 'old_label': '800.ch1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ch1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608970
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.o1', '400.be1'], 'contains': ['1600.v1', '4000.o1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5976, -1, 7900, -1], 'generators': [4, 37120, 8384], 'label': '40000.op.800.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.l1', 'old_label': '800.ci1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ci1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608971
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ci2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.o1', '400.be2'], 'contains': ['1600.v2', '4000.o1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [4884, -1, 7860, -1], 'generators': [15172, 17920, 27584], 'label': '40000.op.800.ci2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bn1', 'old_label': '800.ci2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ci2', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608972
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.o1', '160.s1', '400.bf1', '400.cu1', '400.dg1'], 'contains': ['1600.w1', '4000.o1', '4000.p1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [7565, -1, 8842, -1], 'generators': [13572, 11520, 30784], 'label': '40000.op.800.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '800.cj1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cj1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608973
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.q1', '160.s1', '400.bg1', '400.cv1'], 'contains': ['1600.x1', '4000.p1', '4000.q1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [9073, -1, 8961, -1], 'generators': [15172, 33600, 33984], 'label': '40000.op.800.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.be1', 'old_label': '800.ck1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ck1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608974
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.n1', '160.s1', '400.bh1', '400.cw1'], 'contains': ['1600.y1', '4000.p1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [8854, -1, 8882, -1], 'generators': [38212, 21120, 1984], 'label': '40000.op.800.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bf1', 'old_label': '800.cl1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cl1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608975
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.q1', '160.s1', '400.bi1', '400.cx1'], 'contains': ['1600.z1', '4000.p1', '4000.q1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9288, -1, 9041, -1], 'generators': [23172, 9600, 1984], 'label': '40000.op.800.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '800.cm1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cm1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608976
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.q1', '160.t1', '400.bj1'], 'contains': ['1600.ba1', '4000.q1', '4000.r1', '4000.s1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [7629, -1, 9001, -1], 'generators': [4, 9600, 17984], 'label': '40000.op.800.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.r1', 'old_label': '800.cn1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cn1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608977
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.q1', '160.t1', '400.bk1', '400.cy1', '400.dh1'], 'contains': ['1600.bb1', '4000.q1', '4000.r1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9157, -1, 9080, -1], 'generators': [4, 33600, 17984], 'label': '40000.op.800.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '800.co1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.co1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608978
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '8.k1'], 'contains': ['32.b1', '80.ba1', '80.bb1', '80.bc1'], 'core': '32.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [3801, -1, 8954, -1], 'generators': [12459, 8000, 17984, 22720, 3140, 33600], 'label': '40000.op.16.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '16.i1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '10000.ce'}
  • id: 205608979
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.n1', '160.t1', '400.bl1'], 'contains': ['1600.bc1', '4000.r1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [6525, -1, 8922, -1], 'generators': [4, 5120, 17984], 'label': '40000.op.800.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.s1', 'old_label': '800.cp1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cp1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608980
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.m1', '160.n1', '400.bm1'], 'contains': ['1600.bd1', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [6200, -1, 8209, -1], 'generators': [4, 6720, 27584], 'label': '40000.op.800.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm1', 'old_label': '800.cq1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cq1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608981
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.m1', '160.n1', '400.bm2'], 'contains': ['1600.bd2', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [6175, -1, 8328, -1], 'generators': [4, 17920, 8384], 'label': '40000.op.800.cq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm2', 'old_label': '800.cq2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cq2', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608982
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cq3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.n1', '400.bm3'], 'contains': ['1600.bd3', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [6239, -1, 8249, -1], 'generators': [4, 17920, 6784], 'label': '40000.op.800.cq3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm3', 'old_label': '800.cq3', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cq3', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608983
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cq4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.m1', '160.n1', '400.bm4'], 'contains': ['1600.bd4', '4000.s1', '4000.t1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [6149, -1, 8288, -1], 'generators': [4, 27520, 37184], 'label': '40000.op.800.cq4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm4', 'old_label': '800.cq4', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cq4', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608984
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.w1', '160.x1', '160.z1', '400.j1'], 'contains': ['1600.a1', '4000.u1', '4000.v1', '4000.w1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [3678, -1, 1442, -1], 'generators': [10000, 8320, 37184], 'label': '40000.op.800.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.j1', 'old_label': '800.cr1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cr1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608985
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.x1', '160.z1', '400.k1', '400.ck1'], 'contains': ['1600.b1', '4000.u1', '4000.v1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [2949, -1, 1323, -1], 'generators': [10000, 8000, 20864], 'label': '40000.op.800.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.a1', 'old_label': '800.cs1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cs1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205608986
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.w1', '160.z1', '400.l1', '400.dp1'], 'contains': ['1600.c1', '4000.u1', '4000.w1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [3837, -1, 1482, -1], 'generators': [23248, 25600, 31424], 'label': '40000.op.800.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bi1', 'old_label': '800.ct1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ct1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608987
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.w1', '160.x1', '160.y1', '400.m1'], 'contains': ['1600.d1', '4000.u1', '4000.x1', '4000.z1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [4108, -1, 2068, -1], 'generators': [10000, 25600, 9984], 'label': '40000.op.800.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.m1', 'old_label': '800.cu1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cu1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608988
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.y1', '160.z1', '400.n1', '400.di1'], 'contains': ['1600.e1', '4000.u1', '4000.y1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [5564, -1, 1839, -1], 'generators': [28816, 17600, 33984], 'label': '40000.op.800.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.u1', 'old_label': '800.cv1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cv1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608989
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '8.i1'], 'contains': ['32.c1', '80.bf1', '80.bg1'], 'core': '32.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [2618, -1, 1365, -1], 'generators': [8, 8000, 24704, 14720, 16, 25600], 'label': '40000.op.16.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.j1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': '10000.bw'}
  • id: 205608990
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.x1', '160.z1', '400.o1', '400.cr1', '400.dj1', '400.dq1', '400.dw1'], 'contains': ['1600.f1', '4000.u1', '4000.v1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1719, -1, 546, -1], 'generators': [16848, 25600, 39424], 'label': '40000.op.800.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '800.cw1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cw1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205608991
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.w1', '160.z1', '400.p1', '400.cl1', '400.dk1', '400.dr1'], 'contains': ['1600.g1', '4000.u1', '4000.w1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1916, -1, 656, -1], 'generators': [22736, 8000, 11264], 'label': '40000.op.800.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '800.cx1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cx1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608992
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.v1', '160.z1', '400.q1', '400.dl1'], 'contains': ['1600.h1', '4000.u1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [2313, -1, 1521, -1], 'generators': [31376, 8000, 20224], 'label': '40000.op.800.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.x1', 'old_label': '800.cy1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cy1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608993
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.y1', '160.z1', '400.r1', '400.cm1', '400.dm1', '400.ds1'], 'contains': ['1600.i1', '4000.u1', '4000.y1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [1579, -1, 1223, -1], 'generators': [11600, 8000, 9600], 'label': '40000.op.800.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '800.cz1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.cz1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205608994
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.w1', '160.x1', '160.ba1', '400.s1'], 'contains': ['1600.j1', '4000.v1', '4000.w1', '4000.x1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [4084, -1, 1720, -1], 'generators': [10000, 30720, 27584], 'label': '40000.op.800.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.s1', 'old_label': '800.da1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.da1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608995
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.z1', '160.ba1', '160.bb1', '400.t1'], 'contains': ['1600.k1', '4000.v1', '4000.w1', '4000.y1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1600, 'diagramx': [4620, -1, 1949, -1], 'generators': [10000, 9600, 19264], 'label': '40000.op.800.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.t1', 'old_label': '800.db1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.db1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608996
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.w1', '160.x1', '400.u1'], 'contains': ['1600.l1', '4000.v1', '4000.w1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [3545, -1, 1640, -1], 'generators': [10000, 320, 9984], 'label': '40000.op.800.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.br1', 'old_label': '800.dc1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dc1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608997
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.x1', '160.ba1', '400.v1', '400.dx1'], 'contains': ['1600.m1', '4000.v1', '4000.x1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4587, -1, 1799, -1], 'generators': [10832, 5120, 1984], 'label': '40000.op.800.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bz1', 'old_label': '800.dd1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dd1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205609019
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.du2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.u1', '160.v1', '400.bm2'], 'contains': ['1600.bd2', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [4435, -1, 2346, -1], 'generators': [10000, 17920, 8384], 'label': '40000.op.800.du2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm2', 'old_label': '800.du2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.du2', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205608998
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.x1', '160.bb1', '400.w1'], 'contains': ['1600.n1', '4000.v1', '4000.z1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4152, -1, 2108, -1], 'generators': [10000, 33920, 3584], 'label': '40000.op.800.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bs1', 'old_label': '800.de1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.de1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205608999
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.w1', '160.x1', '160.bb1', '400.x1', '400.cn1', '400.dt1', '400.dy1'], 'contains': ['1600.o1', '4000.v1', '4000.w1', '4000.z1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3233, -1, 1561, -1], 'generators': [10000, 16320, 17984], 'label': '40000.op.800.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '800.df1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.df1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609000
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '8.l1'], 'contains': ['32.c1', '80.bh1', '80.bi1'], 'core': '32.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3840, -1, 1494, -1], 'generators': [35979, 8000, 17984, 14720, 19536, 1600], 'label': '40000.op.16.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '16.k1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': '10000.bw'}
  • id: 205609001
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.v1', '160.x1', '160.bb1', '400.y1'], 'contains': ['1600.p1', '4000.v1', '4000.z1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4178, -1, 1989, -1], 'generators': [10000, 16320, 6784], 'label': '40000.op.800.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.y1', 'old_label': '800.dg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dg1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205609002
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.x1', '400.z1', '400.co1'], 'contains': ['1600.q1', '4000.v1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [2915, -1, 1362, -1], 'generators': [10000, 32320, 37184], 'label': '40000.op.800.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.e1', 'old_label': '800.dh1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dh1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205609003
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.x1', '400.z2', '400.dz1'], 'contains': ['1600.q2', '4000.v1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [3063, -1, 1402, -1], 'generators': [12432, 1920, 6784], 'label': '40000.op.800.dh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.cb1', 'old_label': '800.dh2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dh2', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205609004
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.x1', '160.ba1', '400.ba1', '400.cp1', '400.ea1'], 'contains': ['1600.r1', '4000.v1', '4000.x1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [3444, -1, 1601, -1], 'generators': [17808, 32320, 32384], 'label': '40000.op.800.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '800.di1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.di1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609005
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.w1', '160.ba1', '400.bb1'], 'contains': ['1600.s1', '4000.w1', '4000.x1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4479, -1, 2029, -1], 'generators': [10000, 30720, 32384], 'label': '40000.op.800.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.k1', 'old_label': '800.dj1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dj1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205609006
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['160.u1', '160.v1', '160.w1', '160.bb1', '400.bc1'], 'contains': ['1600.t1', '4000.w1', '4000.z1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4385, -1, 2187, -1], 'generators': [10000, 13120, 33984], 'label': '40000.op.800.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bv1', 'old_label': '800.dk1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dk1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205609007
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.v1', '160.w1', '160.bb1', '400.bd1'], 'contains': ['1600.u1', '4000.w1', '4000.z1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [4503, -1, 2148, -1], 'generators': [10000, 14720, 37184], 'label': '40000.op.800.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bd1', 'old_label': '800.dl1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dl1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205609008
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.w1', '400.be1'], 'contains': ['1600.v1', '4000.w1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [4266, -1, 1759, -1], 'generators': [10000, 37120, 8384], 'label': '40000.op.800.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.l1', 'old_label': '800.dm1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dm1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205609009
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.w1', '400.be2', '400.du1'], 'contains': ['1600.v2', '4000.w1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [3981, -1, 1680, -1], 'generators': [17168, 17920, 27584], 'label': '40000.op.800.dm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bn1', 'old_label': '800.dm2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dm2', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205609010
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.w1', '160.ba1', '400.bf1', '400.dv1', '400.eb1'], 'contains': ['1600.w1', '4000.w1', '4000.x1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [7498, -1, 1878, -1], 'generators': [13968, 14720, 1984], 'label': '40000.op.800.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '800.dn1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dn1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205609011
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1'], 'contains': ['40.b1', '40.h1', '40.l1', '40.r1', '100.f1', '100.g1', '100.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [651, -1, 3182, -1], 'generators': [8, 25600, 10004, 16, 160, 8000, 32320], 'label': '40000.op.20.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '20.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609012
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.y1', '160.ba1', '400.bg1'], 'contains': ['1600.x1', '4000.x1', '4000.y1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [8065, -1, 2426, -1], 'generators': [10000, 33600, 33984], 'label': '40000.op.800.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.be1', 'old_label': '800.do1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.do1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205609013
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.v1', '160.ba1', '400.bh1'], 'contains': ['1600.y1', '4000.x1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [7820, -1, 2386, -1], 'generators': [10000, 21120, 1984], 'label': '40000.op.800.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.bf1', 'old_label': '800.dp1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dp1', 'subgroup_fusion': None, 'weyl_group': '100.12'}
  • id: 205609014
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.y1', '160.ba1', '400.bi1', '400.dn1', '400.ec1'], 'contains': ['1600.z1', '4000.x1', '4000.y1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [8261, -1, 2801, -1], 'generators': [25168, 9600, 1984], 'label': '40000.op.800.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '800.dq1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dq1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609015
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['160.u1', '160.y1', '160.bb1', '400.bj1'], 'contains': ['1600.ba1', '4000.y1', '4000.z1', '4000.ba1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [7521, -1, 2614, -1], 'generators': [10000, 9600, 9984], 'label': '40000.op.800.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.r1', 'old_label': '800.dr1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dr1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205609016
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.y1', '160.bb1', '400.bk1', '400.do1'], 'contains': ['1600.bb1', '4000.y1', '4000.z1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [8795, -1, 2880, -1], 'generators': [10000, 33600, 17984], 'label': '40000.op.800.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '800.ds1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.ds1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205609017
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.v1', '160.bb1', '400.bl1'], 'contains': ['1600.bc1', '4000.z1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [4822, -1, 2465, -1], 'generators': [10000, 5120, 17984], 'label': '40000.op.800.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.s1', 'old_label': '800.dt1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.dt1', 'subgroup_fusion': None, 'weyl_group': '100.13'}
  • id: 205609018
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '800.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.u1', '160.v1', '400.bm1'], 'contains': ['1600.bd1', '4000.ba1', '4000.bb1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [4301, -1, 2227, -1], 'generators': [10000, 6720, 27584], 'label': '40000.op.800.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '400.bm1', 'old_label': '800.du1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800.du1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
  • id: 205609022
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '4.e1', '4.g1', '4.o1', '50.c1'], 'core': '2.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [2680, 6317, 6441, 6469], 'generators': [8000, 25600, 30154, 21184, 10004, 16320, 37897, 160, 5072], 'label': '40000.op.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '4.e1', '4.g1', '4.o1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205609023
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.d1'], 'contains': ['40.a1', '40.n1', '40.p1', '100.h1', '100.i1', '100.m1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [2210, -1, 4486, -1], 'generators': [10499, 16320, 13956, 6672, 160, 8000, 17984], 'label': '40000.op.20.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '20.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609024
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.a1', '200.b1', '200.c1', '200.g1', '500.a1'], 'contains': ['2000.a1', '2000.c1', '2000.e1', '2000.u1', '2000.w1', '5000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [390, -1, 2388, -1], 'generators': [17120, 18000, 8000, 10004], 'label': '40000.op.1000.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '1000.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.a1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609025
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.a1', '200.d1', '200.e1', '200.f1', '200.g1', '500.b1'], 'contains': ['2000.b1', '2000.d1', '2000.f1', '2000.v1', '2000.x1', '5000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [1136, -1, 2688, -1], 'generators': [1120, 9936, 64, 10004], 'label': '40000.op.1000.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.b1', 'old_label': '1000.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.b1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609026
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.h1', '200.i1', '200.k1', '200.l1', '200.n1', '500.d1'], 'contains': ['2000.g1', '2000.m1', '2000.o1', '5000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [5427, -1, 5024, -1], 'generators': [33418, 10004, 23424, 7248], 'label': '40000.op.1000.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '1000.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.c1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609027
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.j1', '200.k1', '200.m1', '200.n1', '500.c1'], 'contains': ['2000.h1', '2000.n1', '2000.p1', '5000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [8630, -1, 7104, -1], 'generators': [33418, 10004, 1984, 13968], 'label': '40000.op.1000.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '1000.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.d1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609028
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['200.o1', '200.q1', '200.r1', '200.t1', '500.e1'], 'contains': ['2000.i1', '2000.q1', '2000.s1', '5000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 500, 'diagramx': [9800, -1, 8463, -1], 'generators': [11265, 10004, 9600, 10000], 'label': '40000.op.1000.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '1000.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.e1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609029
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.p1', '200.r1', '200.s1', '200.t1', '500.f1'], 'contains': ['2000.j1', '2000.r1', '2000.t1', '5000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [8744, -1, 7995, -1], 'generators': [11265, 10004, 17344, 34256], 'label': '40000.op.1000.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.f1', 'old_label': '1000.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.f1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609030
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.u1', '200.v1', '200.w1', '200.x1', '200.y1', '500.a1'], 'contains': ['2000.e1', '2000.bd1', '5000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [2084, -1, 2957, -1], 'generators': [168, 9296, 25600, 10004], 'label': '40000.op.1000.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '1000.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.g1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609031
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['200.u1', '200.y1', '200.z1', '200.ba1', '500.e1'], 'contains': ['2000.i1', '2000.be1', '5000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 500, 'diagramx': [8900, -1, 3226, -1], 'generators': [168, 9296, 9600, 10004], 'label': '40000.op.1000.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '1000.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.h1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609032
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.bc1', '200.bd1', '200.be1', '200.bf1', '200.bg1', '500.c1'], 'contains': ['2000.h1', '2000.y1', '5000.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [9324, -1, 9554, -1], 'generators': [2345, 23620, 32384, 848], 'label': '40000.op.1000.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '1000.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.i1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609033
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['200.bb1', '200.be1', '200.bg1', '200.bh1', '500.e1'], 'contains': ['2000.i1', '2000.z1', '5000.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 500, 'diagramx': [9693, -1, 9612, -1], 'generators': [27113, 38852, 9600, 39248], 'label': '40000.op.1000.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '1000.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.j1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609034
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1'], 'contains': ['40.d1', '40.j1', '40.q1', '100.p1', '100.q1', '100.v1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8413, -1, 6632, -1], 'generators': [5865, 13120, 31812, 32208, 31906, 9600, 30784], 'label': '40000.op.20.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '20.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609035
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.bi1', '200.bj1', '200.bk1', '200.bl1', '500.a1'], 'contains': ['2000.e1', '2000.bf1', '5000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [1342, -1, 2899, -1], 'generators': [7393, 15568, 25600, 10004], 'label': '40000.op.1000.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '1000.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.k1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609036
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.bi1', '200.bk1', '200.bm1', '200.bn1', '200.bo1', '500.d1'], 'contains': ['2000.g1', '2000.bg1', '5000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [2459, -1, 3051, -1], 'generators': [8, 16, 14720, 10004], 'label': '40000.op.1000.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '1000.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.l1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609037
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.bp1', '200.br1', '200.bs1', '200.bt1', '200.bu1', '500.b1'], 'contains': ['2000.f1', '2000.ba1', '5000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [2190, -1, 8850, -1], 'generators': [170, 12804, 13824, 10576], 'label': '40000.op.1000.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.b1', 'old_label': '1000.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.m1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205609038
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.bq1', '200.br1', '200.bt1', '200.bv1', '200.bw1', '500.d1'], 'contains': ['2000.g1', '2000.bb1', '5000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [2861, -1, 8908, -1], 'generators': [28906, 24068, 19264, 3536], 'label': '40000.op.1000.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '1000.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.n1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609039
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.bs1', '200.bt1', '200.bt2', '200.bv1', '200.bx1', '500.f1'], 'contains': ['2000.j1', '2000.bc1', '5000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [3889, -1, 9270, -1], 'generators': [12459, 3140, 17344, 11216], 'label': '40000.op.1000.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.f1', 'old_label': '1000.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.o1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205609040
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.by1', '200.bz1', '200.ca1', '200.cb1', '200.cc1', '500.b1'], 'contains': ['2000.f1', '2000.bh1', '5000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [2677, -1, 3168, -1], 'generators': [27299, 15760, 13824, 10004], 'label': '40000.op.1000.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.b1', 'old_label': '1000.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.p1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205609041
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.bz1', '200.cc1', '200.cd1', '200.ce1', '500.c1'], 'contains': ['2000.h1', '2000.bi1', '5000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [8312, -1, 3352, -1], 'generators': [7331, 18000, 1984, 10004], 'label': '40000.op.1000.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '1000.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.q1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609042
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1000.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['200.cf1', '200.cg1', '200.cj1', '500.a1'], 'contains': ['2000.w1', '2000.bd1', '2000.bf1', '5000.i1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [132, -1, 25, -1], 'generators': [7393, 15568, 28224, 13756], 'label': '40000.op.1000.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '1000.r1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000.r1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609043
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['50.a1', '625.a1'], 'contains': ['2500.a1', '2500.b1', '2500.d1', '2500.f1', '2500.h1', '2500.k1', '2500.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [1450, -1, 6370, -1], 'generators': [7233, 30154, 33120], 'label': '40000.op.1250.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.a1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 205609044
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['50.b1', '625.a1'], 'contains': ['2500.a1', '2500.c1', '2500.h1', '2500.i1', '2500.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [1218, -1, 5802, -1], 'generators': [34690, 8, 32800], 'label': '40000.op.1250.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609045
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.h1'], 'contains': ['40.c1', '40.k1', '40.m1', '100.r1', '100.s1', '100.w1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3305, -1, 5622, -1], 'generators': [3170, 29120, 10004, 16, 8, 8000, 19264], 'label': '40000.op.20.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '20.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609046
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['50.e1', '625.a1'], 'contains': ['2500.c1', '2500.d1', '2500.l1', '2500.m1', '2500.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [684, -1, 4703, -1], 'generators': [7393, 16194, 23592], 'label': '40000.op.1250.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.c1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 205609047
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['50.c1', '625.a1'], 'contains': ['2500.a1', '2500.d1', '2500.e1', '2500.g1', '2500.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [866, -1, 7174, -1], 'generators': [37897, 30154, 32800], 'label': '40000.op.1250.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.d1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 205609048
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['50.d1', '625.a1'], 'contains': ['2500.b1', '2500.c1', '2500.e1', '2500.j1', '2500.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [213, -1, 6927, -1], 'generators': [7233, 26760, 9440], 'label': '40000.op.1250.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609049
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['50.g1', '625.a1'], 'contains': ['2500.g1', '2500.h1', '2500.n1', '2500.o1', '2500.p1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [3546, -1, 6986, -1], 'generators': [7393, 24034, 31112], 'label': '40000.op.1250.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609050
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['50.f1', '625.a1'], 'contains': ['2500.f1', '2500.g1', '2500.i1', '2500.j1', '2500.m1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [5281, -1, 6787, -1], 'generators': [7233, 3170, 13992], 'label': '40000.op.1250.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609051
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1250.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['50.h1', '625.a1'], 'contains': ['2500.j1', '2500.k1', '2500.l1', '2500.o1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [5252, -1, 7938, -1], 'generators': [11265, 2, 9576], 'label': '40000.op.1250.h1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '1250.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1250.h1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 205609052
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.c1', '320.d1', '320.f1', '800.a1', '800.bn1', '800.cr1'], 'contains': ['8000.a1', '8000.b1', '8000.c1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [5562, -1, 3024, -1], 'generators': [37184, 8320], 'label': '40000.op.1600.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.a1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609053
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.d1', '320.f1', '800.b1', '800.bf1', '800.bg1', '800.bo1', '800.cs1'], 'contains': ['8000.a1', '8000.b1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1385, -1, 2953, -1], 'generators': [37184, 30720], 'label': '40000.op.1600.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '1600.b1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609054
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.c1', '320.f1', '800.c1', '800.bp1', '800.ct1'], 'contains': ['8000.a1', '8000.c1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6658, -1, 3236, -1], 'generators': [27584, 8320], 'label': '40000.op.1600.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.f1', 'old_label': '1600.c1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.c1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609055
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.c1', '320.d1', '320.e1', '800.d1', '800.bq1', '800.cu1'], 'contains': ['8000.a1', '8000.d1', '8000.f1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7326, -1, 3843, -1], 'generators': [9984, 25600], 'label': '40000.op.1600.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.d1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609056
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1'], 'contains': ['40.e1', '40.g1', '40.i1', '100.x1', '100.y1', '100.ba1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9537, -1, 7658, -1], 'generators': [7233, 33600, 10004, 9296, 168, 8000, 5184], 'label': '40000.op.20.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '20.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609057
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.e1', '320.f1', '800.e1', '800.br1', '800.cv1'], 'contains': ['8000.a1', '8000.e1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6948, -1, 3807, -1], 'generators': [33984, 17600], 'label': '40000.op.1600.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '1600.e1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.e1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609058
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.d1', '320.f1', '800.f1', '800.be1', '800.bm1', '800.bs1', '800.cw1'], 'contains': ['8000.a1', '8000.b1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [986, -1, 2760, -1], 'generators': [16320, 8000], 'label': '40000.op.1600.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '1600.f1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.f1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205609059
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.c1', '320.f1', '800.g1', '800.bh1', '800.bt1', '800.cx1'], 'contains': ['8000.a1', '8000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1830, -1, 2918, -1], 'generators': [11264, 8000], 'label': '40000.op.1600.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '1600.g1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.g1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205609060
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.b1', '320.f1', '800.h1', '800.bu1', '800.cy1'], 'contains': ['8000.a1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2377, -1, 3059, -1], 'generators': [20224, 8000], 'label': '40000.op.1600.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '1600.h1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.h1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609061
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.e1', '320.f1', '800.i1', '800.bi1', '800.bv1', '800.cz1'], 'contains': ['8000.a1', '8000.e1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1608, -1, 3130, -1], 'generators': [9600, 8000], 'label': '40000.op.1600.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '1600.i1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.i1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205609062
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.c1', '320.d1', '320.g1', '800.j1', '800.bw1', '800.da1'], 'contains': ['8000.b1', '8000.c1', '8000.d1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7274, -1, 3413, -1], 'generators': [6784, 6720], 'label': '40000.op.1600.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.j1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609063
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.f1', '320.g1', '320.h1', '800.k1', '800.bx1', '800.db1'], 'contains': ['8000.b1', '8000.c1', '8000.e1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7889, -1, 3484, -1], 'generators': [39424, 9600], 'label': '40000.op.1600.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.k1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609064
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.c1', '320.d1', '800.l1', '800.by1', '800.dc1'], 'contains': ['8000.b1', '8000.c1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [5588, -1, 3201, -1], 'generators': [6784, 27520], 'label': '40000.op.1600.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '1600.l1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.l1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609065
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.d1', '320.g1', '800.m1', '800.bz1', '800.dd1'], 'contains': ['8000.b1', '8000.d1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6291, -1, 3448, -1], 'generators': [6784, 32320], 'label': '40000.op.1600.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '1600.m1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.m1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609066
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.d1', '320.h1', '800.n1', '800.ca1', '800.de1'], 'contains': ['8000.b1', '8000.f1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6269, -1, 3590, -1], 'generators': [17984, 21120], 'label': '40000.op.1600.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '1600.n1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.n1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609067
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.k1'], 'contains': ['40.f1', '40.o1', '100.z1', '100.bb1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [5858, -1, 8057, -1], 'generators': [7233, 24320, 10004, 31504, 8810, 33600, 11584], 'label': '40000.op.20.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '20.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609068
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.c1', '320.d1', '320.h1', '800.o1', '800.bj1', '800.cb1', '800.df1'], 'contains': ['8000.b1', '8000.c1', '8000.f1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [3737, -1, 3094, -1], 'generators': [17984, 16320], 'label': '40000.op.1600.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '1600.o1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.o1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205609069
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.b1', '320.d1', '320.h1', '800.p1', '800.cc1', '800.dg1'], 'contains': ['8000.b1', '8000.f1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6237, -1, 3519, -1], 'generators': [6784, 16320], 'label': '40000.op.1600.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.p1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609070
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.d1', '800.q1', '800.bk1', '800.cd1', '800.dh1'], 'contains': ['8000.b1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1639, -1, 2988, -1], 'generators': [3584, 29120], 'label': '40000.op.1600.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '1600.q1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609071
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.d1', '800.q2', '800.cd2', '800.dh2'], 'contains': ['8000.b1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2828, -1, 3165, -1], 'generators': [29184, 29120], 'label': '40000.op.1600.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '1600.q2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.q2', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609072
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.d1', '320.g1', '800.r1', '800.bl1', '800.ce1', '800.di1'], 'contains': ['8000.b1', '8000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3406, -1, 3271, -1], 'generators': [32384, 32320], 'label': '40000.op.1600.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '1600.r1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.r1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205609073
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.c1', '320.g1', '800.s1', '800.cf1', '800.dj1'], 'contains': ['8000.c1', '8000.d1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7629, -1, 3554, -1], 'generators': [37184, 11520], 'label': '40000.op.1600.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '1600.s1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.s1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609074
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['320.a1', '320.b1', '320.c1', '320.h1', '800.t1', '800.cg1', '800.dk1'], 'contains': ['8000.c1', '8000.f1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7366, -1, 3661, -1], 'generators': [17984, 27520], 'label': '40000.op.1600.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1', 'old_label': '1600.t1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.t1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609075
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.b1', '320.c1', '320.h1', '800.u1', '800.ch1', '800.dl1'], 'contains': ['8000.c1', '8000.f1', '8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7506, -1, 3625, -1], 'generators': [37184, 14720], 'label': '40000.op.1600.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.u1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609076
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.c1', '800.v1', '800.ci1', '800.dm1'], 'contains': ['8000.c1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7388, -1, 3378, -1], 'generators': [8384, 37120], 'label': '40000.op.1600.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1', 'old_label': '1600.v1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.v1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609077
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.v2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.c1', '800.v2', '800.ci2', '800.dm2'], 'contains': ['8000.c1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7416, -1, 3342, -1], 'generators': [27584, 17920], 'label': '40000.op.1600.v2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.f1', 'old_label': '1600.v2', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.v2', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609078
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.d1', '16.e1', '16.f1'], 'contains': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1', '160.e1', '160.f1', '160.g1', '160.h1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7211, 5292, 4816, 5419], 'generators': [10004, 14720, 9600, 17984, 8000], 'label': '40000.op.32.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['64.a1', '20000.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '20000.bq', 'quotient_action_image': '32.50', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '32.50'}
  • id: 205609079
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.c1', '320.g1', '800.w1', '800.cj1', '800.dn1'], 'contains': ['8000.c1', '8000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7769, -1, 3984, -1], 'generators': [1984, 14720], 'label': '40000.op.1600.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '1600.w1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.w1', 'subgroup_fusion': None, 'weyl_group': '8.4'}
  • id: 205609080
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.e1', '320.g1', '800.x1', '800.ck1', '800.do1'], 'contains': ['8000.d1', '8000.e1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8853, -1, 4055, -1], 'generators': [33984, 33600], 'label': '40000.op.1600.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '1600.x1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.x1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609081
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.b1', '320.g1', '800.y1', '800.cl1', '800.dp1'], 'contains': ['8000.d1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8696, -1, 4020, -1], 'generators': [1984, 21120], 'label': '40000.op.1600.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '1600.y1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.y1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609082
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['320.e1', '320.g1', '800.z1', '800.cm1', '800.dq1'], 'contains': ['8000.d1', '8000.e1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9042, -1, 4628, -1], 'generators': [1984, 9600], 'label': '40000.op.1600.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '1600.z1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.z1', 'subgroup_fusion': None, 'weyl_group': '16.13'}
  • id: 205609083
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.e1', '320.h1', '800.ba1', '800.cn1', '800.dr1'], 'contains': ['8000.e1', '8000.f1', '8000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8037, -1, 4126, -1], 'generators': [17984, 9600], 'label': '40000.op.1600.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '1600.ba1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.ba1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609089
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.g1', '16.i1'], 'contains': ['64.a1', '160.m1', '160.n1', '160.o1', '160.p1', '160.q1', '160.r1', '160.s1', '160.t1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5718, 5882, 8351, 6023], 'generators': [4, 14720, 9600, 17984, 8000], 'label': '40000.op.32.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.a1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205609090
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '1600.bd4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['320.a1', '320.b1', '800.bd4', '800.cq4', '800.du4'], 'contains': ['8000.g1', '8000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6583, -1, 3914, -1], 'generators': [37184, 27520], 'label': '40000.op.1600.bd4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '1600.bd4', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.bd4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609091
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.a1', '400.b1', '400.d1', '400.e1', '1000.a1'], 'contains': ['4000.a1', '4000.i1', '10000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [529, -1, 2559, -1], 'generators': [160, 3264, 10004], 'label': '40000.op.2000.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '2000.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609092
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.a1', '400.c1', '400.f1', '400.g1', '400.h1', '1000.b1'], 'contains': ['4000.b1', '4000.j1', '10000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [1022, -1, 2708, -1], 'generators': [37897, 37504, 10004], 'label': '40000.op.2000.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.m1', 'old_label': '2000.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.b1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609093
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.c1', '400.d1', '400.e1', '400.i1', '1000.a1'], 'contains': ['4000.a1', '4000.k1', '10000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [729, -1, 2505, -1], 'generators': [160, 8000, 10004], 'label': '40000.op.2000.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '2000.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.c1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609094
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.b1', '400.f1', '400.g1', '400.h1', '400.i1', '1000.b1'], 'contains': ['4000.b1', '4000.l1', '10000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [1110, -1, 2653, -1], 'generators': [160, 32320, 10004], 'label': '40000.op.2000.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '2000.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.d1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609095
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.j1', '400.k1', '400.l1', '400.m1', '400.n1', '400.o1', '400.p1', '400.q1', '400.r1', '1000.a1', '1000.g1', '1000.k1'], 'contains': ['4000.a1', '4000.m1', '4000.u1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [2131, -1, 5286, -1], 'generators': [10004, 25600, 35600], 'label': '40000.op.2000.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '2000.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.e1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609096
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.j1', '400.k1', '400.o1', '400.s1', '400.t1', '400.u1', '400.v1', '400.w1', '400.x1', '400.y1', '400.z1', '400.z2', '400.ba1', '1000.b1', '1000.m1', '1000.p1'], 'contains': ['4000.b1', '4000.n1', '4000.v1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [2957, -1, 5642, -1], 'generators': [10004, 16320, 26320], 'label': '40000.op.2000.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.b1', 'old_label': '2000.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.f1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609097
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.j1', '400.l1', '400.p1', '400.s1', '400.t1', '400.u1', '400.x1', '400.bb1', '400.bc1', '400.bd1', '400.be1', '400.be2', '400.bf1', '1000.c1', '1000.l1', '1000.n1'], 'contains': ['4000.c1', '4000.o1', '4000.w1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [4677, -1, 5680, -1], 'generators': [10004, 14720, 38160], 'label': '40000.op.2000.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '2000.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.g1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609098
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.m1', '400.s1', '400.v1', '400.ba1', '400.bb1', '400.bf1', '400.bg1', '400.bh1', '400.bi1', '1000.d1', '1000.i1', '1000.q1'], 'contains': ['4000.d1', '4000.p1', '4000.x1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [8205, -1, 6183, -1], 'generators': [10004, 32384, 34768], 'label': '40000.op.2000.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '2000.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.h1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609099
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['400.n1', '400.r1', '400.t1', '400.bg1', '400.bi1', '400.bj1', '400.bk1', '1000.e1', '1000.h1', '1000.j1'], 'contains': ['4000.e1', '4000.q1', '4000.y1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 500, 'diagramx': [9305, -1, 6636, -1], 'generators': [10004, 9600, 10000], 'label': '40000.op.2000.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '2000.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.i1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609100
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.c1', '16.h1', '16.j1', '16.k1'], 'contains': ['64.a1', '160.u1', '160.v1', '160.w1', '160.x1', '160.y1', '160.z1', '160.ba1', '160.bb1'], 'core': '32.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3803, 4703, 1572, 4816], 'generators': [10000, 14720, 9600, 17984, 8000], 'label': '40000.op.32.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.a1', '16.c1'], 'normal_contains': ['64.a1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205609101
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.m1', '400.w1', '400.x1', '400.y1', '400.bc1', '400.bd1', '400.bj1', '400.bk1', '400.bl1', '1000.f1', '1000.o1'], 'contains': ['4000.f1', '4000.r1', '4000.z1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [5367, -1, 7076, -1], 'generators': [10004, 17344, 34256], 'label': '40000.op.2000.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.f1', 'old_label': '2000.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.j1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609102
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.j1', '400.k1', '400.l1', '400.m1', '400.n1', '400.s1', '400.t1', '400.u1', '400.v1', '400.w1', '400.y1', '400.z1', '400.z2', '400.bb1', '400.bc1', '400.bd1', '400.be1', '400.be2', '400.bg1', '400.bj1', '400.bm1', '400.bm2', '400.bm3', '400.bm4'], 'contains': ['4000.g1', '4000.s1', '4000.ba1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8000, 'diagramx': [4893, -1, 5789, -1], 'generators': [10004, 8384, 10000], 'label': '40000.op.2000.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2000.k1', 'old_label': '2000.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.k1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609103
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.j1', '400.k1', '400.l1', '400.q1', '400.s1', '400.t1', '400.v1', '400.w1', '400.y1', '400.bb1', '400.bc1', '400.bd1', '400.bh1', '400.bl1', '400.bm1', '400.bm2', '400.bm3', '400.bm4'], 'contains': ['4000.h1', '4000.t1', '4000.bb1', '10000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [5031, -1, 6066, -1], 'generators': [10004, 23104, 10000], 'label': '40000.op.2000.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2000.l1', 'old_label': '2000.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.l1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609104
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bn1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.bn1', '400.bo1', '400.bp1', '400.br1', '400.bt1', '1000.c1'], 'contains': ['4000.c1', '10000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [8366, -1, 5208, -1], 'generators': [3170, 10004, 27264], 'label': '40000.op.2000.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.w1', 'old_label': '2000.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.m1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609105
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bn1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.bn1', '400.bq1', '400.bs1', '400.bu1', '1000.d1'], 'contains': ['4000.d1', '10000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [8630, -1, 6104, -1], 'generators': [30154, 10004, 1984], 'label': '40000.op.2000.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.v1', 'old_label': '2000.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.n1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609106
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bv1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.bo1', '400.bp1', '400.bs1', '400.bt1', '400.bv1', '1000.c1'], 'contains': ['4000.c1', '10000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [8406, -1, 5247, -1], 'generators': [3170, 19264, 10004], 'label': '40000.op.2000.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '2000.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.o1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609107
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bv1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.bq1', '400.br1', '400.bu1', '400.bv1', '1000.d1'], 'contains': ['4000.d1', '10000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8606, -1, 6143, -1], 'generators': [1738, 21184, 10004], 'label': '40000.op.2000.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '2000.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.p1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609108
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bw1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['400.bw1', '400.bx1', '400.bz1', '400.ca1', '1000.e1'], 'contains': ['4000.e1', '10000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [9916, -1, 7782, -1], 'generators': [7233, 10004, 9600], 'label': '40000.op.2000.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.ba1', 'old_label': '2000.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.q1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609109
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.bw1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.bw1', '400.by1', '400.cb1', '400.cc1', '1000.f1'], 'contains': ['4000.f1', '10000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [9528, -1, 7704, -1], 'generators': [7233, 10004, 17344], 'label': '40000.op.2000.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.bb1', 'old_label': '2000.r1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.r1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609110
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.cd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['400.bx1', '400.bz1', '400.cb1', '400.cd1', '1000.e1'], 'contains': ['4000.e1', '10000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9761, -1, 7821, -1], 'generators': [7233, 33600, 10004], 'label': '40000.op.2000.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '2000.s1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.s1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609111
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '16.g1', '16.h1'], 'contains': ['64.a1', '160.i1', '160.j1', '160.k1', '160.l1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [745, -1, 1025, -1], 'generators': [160, 9600, 16320, 17984, 8000], 'label': '40000.op.32.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '32.d1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205609112
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.cd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.by1', '400.ca1', '400.cc1', '400.cd1', '1000.f1'], 'contains': ['4000.f1', '10000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [9578, -1, 7743, -1], 'generators': [7233, 38784, 10004], 'label': '40000.op.2000.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '2000.t1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.t1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609113
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.ce1', '400.cf1', '400.cg1', '400.cq1', '1000.a1'], 'contains': ['4000.i1', '4000.k1', '4000.m1', '10000.e1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [345, -1, 2762, -1], 'generators': [1120, 3264, 5060], 'label': '40000.op.2000.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '2000.u1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.u1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609114
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.ce1', '400.ch1', '400.ci1', '400.cj1', '400.cq1', '1000.b1'], 'contains': ['4000.j1', '4000.l1', '4000.n1', '10000.e1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [620, -1, 2841, -1], 'generators': [1120, 64, 196], 'label': '40000.op.2000.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1000.b1', 'old_label': '2000.v1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.v1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609115
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.ck1', '400.cl1', '400.cm1', '400.cr1', '1000.a1', '1000.r1'], 'contains': ['4000.i1', '4000.k1', '4000.u1', '10000.f1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [292, -1, 445, -1], 'generators': [1120, 1600, 10000], 'label': '40000.op.2000.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '2000.w1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.w1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609116
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.ck1', '400.cn1', '400.co1', '400.cp1', '400.cr1', '1000.b1'], 'contains': ['4000.j1', '4000.l1', '4000.v1', '10000.f1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [821, -1, 617, -1], 'generators': [1120, 64, 9936], 'label': '40000.op.2000.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1000.b1', 'old_label': '2000.x1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.x1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609117
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.ct1', '400.cu1', '400.cv1', '400.cw1', '400.cx1', '1000.i1'], 'contains': ['4000.p1', '10000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [9182, -1, 9660, -1], 'generators': [16121, 32384, 32964], 'label': '40000.op.2000.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '2000.y1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.y1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609118
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.cs1', '400.cv1', '400.cx1', '400.cy1', '1000.j1'], 'contains': ['4000.q1', '10000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [9224, -1, 9691, -1], 'generators': [8505, 9600, 8516], 'label': '40000.op.2000.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '2000.z1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.z1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609119
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.cz1', '400.db1', '400.dc1', '400.dd1', '400.de1', '1000.m1'], 'contains': ['4000.n1', '10000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [2923, -1, 9208, -1], 'generators': [18218, 13824, 18628], 'label': '40000.op.2000.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1000.m1', 'old_label': '2000.ba1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.ba1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609120
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['400.da1', '400.db1', '400.dd1', '400.df1', '400.dg1', '1000.n1'], 'contains': ['4000.o1', '10000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [3197, -1, 9292, -1], 'generators': [23211, 23424, 38468], 'label': '40000.op.2000.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '2000.bb1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.bb1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609121
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.dc1', '400.dd1', '400.dd2', '400.df1', '400.dh1', '1000.o1'], 'contains': ['4000.r1', '10000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [3907, -1, 9409, -1], 'generators': [27883, 17344, 10052], 'label': '40000.op.2000.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1000.o1', 'old_label': '2000.bc1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.bc1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609122
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '20.b1'], 'contains': ['80.a1', '80.c1', '80.h1', '80.u1', '80.w1', '200.a1', '200.d1', '200.e1', '200.f1', '200.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [1151, -1, 2724, -1], 'generators': [19145, 25600, 14608, 39424, 10004, 14720], 'label': '40000.op.40.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '40.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609123
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.di1', '400.dj1', '400.dk1', '400.dl1', '400.dm1', '1000.g1', '1000.r1'], 'contains': ['4000.u1', '10000.i1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [2162, -1, 511, -1], 'generators': [18556, 25600, 9296], 'label': '40000.op.2000.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '2000.bd1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.bd1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609124
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['400.di1', '400.dm1', '400.dn1', '400.do1', '1000.h1'], 'contains': ['4000.y1', '10000.i1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [8135, -1, 1914, -1], 'generators': [18556, 9600, 9296], 'label': '40000.op.2000.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '2000.be1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.be1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609125
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.dp1', '400.dq1', '400.dr1', '400.ds1', '1000.k1', '1000.r1'], 'contains': ['4000.u1', '10000.j1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [1287, -1, 480, -1], 'generators': [8, 1600, 16], 'label': '40000.op.2000.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '2000.bf1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.bf1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609126
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['400.dp1', '400.dr1', '400.dt1', '400.du1', '400.dv1', '1000.l1'], 'contains': ['4000.w1', '10000.j1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [2456, -1, 691, -1], 'generators': [8, 19264, 16], 'label': '40000.op.2000.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '2000.bg1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.bg1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609127
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.dw1', '400.dx1', '400.dy1', '400.dz1', '400.ea1', '1000.p1'], 'contains': ['4000.v1', '10000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [2979, -1, 582, -1], 'generators': [23075, 13824, 24208], 'label': '40000.op.2000.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1000.p1', 'old_label': '2000.bh1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.bh1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609128
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2000.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['400.dx1', '400.ea1', '400.eb1', '400.ec1', '1000.q1'], 'contains': ['4000.x1', '10000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [7711, -1, 723, -1], 'generators': [16803, 30144, 29072], 'label': '40000.op.2000.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '2000.bi1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.bi1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609129
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['100.a1', '100.b1', '100.c1', '1250.a1', '1250.b1', '1250.d1'], 'contains': ['5000.a1', '5000.b1', '5000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [1661, -1, 7301, -1], 'generators': [30154, 160], 'label': '40000.op.2500.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609130
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.d1', '100.e1', '1250.a1', '1250.e1'], 'contains': ['5000.a1', '5000.c1', '5000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [560, -1, 3601, -1], 'generators': [7233, 160], 'label': '40000.op.2500.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609131
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['500.a1', '1250.b1', '1250.c1', '1250.e1'], 'contains': ['5000.a1', '5000.d1', '5000.f1', '5000.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [176, -1, 3289, -1], 'generators': [7393, 23592, 10004], 'label': '40000.op.2500.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609132
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['500.b1', '1250.a1', '1250.c1', '1250.d1'], 'contains': ['5000.a1', '5000.g1', '5000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [1193, -1, 3690, -1], 'generators': [35979, 9120], 'label': '40000.op.2500.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.d1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 205609133
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.e1', '4.j1', '4.n1', '50.d1'], 'core': '2.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [2286, 7817, 6278, 8005], 'generators': [8000, 33600, 8, 11584, 10004, 8320, 7233, 160, 21712], 'label': '40000.op.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.e1', '4.j1', '4.n1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205609134
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '20.a1'], 'contains': ['80.b1', '80.d1', '80.j1', '80.v1', '80.x1', '200.a1', '200.b1', '200.c1', '200.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [654, -1, 2417, -1], 'generators': [160, 8000, 24720, 24320, 10004, 9600], 'label': '40000.op.40.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '40.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609135
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['100.j1', '100.k1', '1250.d1', '1250.e1'], 'contains': ['5000.a1', '5000.e1', '5000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [498, -1, 8612, -1], 'generators': [37897, 160, 9168], 'label': '40000.op.2500.e1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609136
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.n1', '100.o1', '1250.a1', '1250.g1'], 'contains': ['5000.b1', '5000.c1', '5000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [7258, -1, 7346, -1], 'generators': [7233, 3170], 'label': '40000.op.2500.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609137
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['500.c1', '1250.d1', '1250.f1', '1250.g1'], 'contains': ['5000.b1', '5000.e1', '5000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [4512, -1, 7617, -1], 'generators': [27113, 35554], 'label': '40000.op.2500.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609138
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['500.d1', '1250.a1', '1250.b1', '1250.f1'], 'contains': ['5000.b1', '5000.f1', '5000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [1710, -1, 6840, -1], 'generators': [7393, 21578], 'label': '40000.op.2500.h1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609139
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.n1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['100.t1', '100.u1', '1250.b1', '1250.g1'], 'contains': ['5000.b1', '5000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [4014, -1, 3734, -1], 'generators': [3170, 17256], 'label': '40000.op.2500.i1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609140
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['500.e1', '1250.e1', '1250.g1', '1250.h1'], 'contains': ['5000.c1', '5000.d1', '5000.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [5398, -1, 7803, -1], 'generators': [2049, 168], 'label': '40000.op.2500.j1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609141
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['500.f1', '1250.a1', '1250.h1'], 'contains': ['5000.c1', '5000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [5217, -1, 8513, -1], 'generators': [11265, 2], 'label': '40000.op.2500.k1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.k1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 205609142
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.bc1', '100.bd1', '100.be1', '1250.b1', '1250.c1', '1250.h1'], 'contains': ['5000.d1', '5000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [1787, -1, 5434, -1], 'generators': [29891, 29800], 'label': '40000.op.2500.l1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.l1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609143
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['100.bf1', '100.bg1', '1250.c1', '1250.g1'], 'contains': ['5000.d1', '5000.h1', '5000.l1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [2727, -1, 3110, -1], 'generators': [5347, 24424, 10004], 'label': '40000.op.2500.m1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609144
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['100.bh1', '100.bi1', '1250.e1', '1250.f1'], 'contains': ['5000.e1', '5000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [1688, -1, 7579, -1], 'generators': [7393, 31112], 'label': '40000.op.2500.n1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.n1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609145
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '20.d1'], 'contains': ['80.g1', '80.m1', '80.o1', '200.h1', '200.i1', '200.k1', '200.l1', '200.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [5616, -1, 5533, -1], 'generators': [36106, 17600, 10004, 11264, 39568, 22720], 'label': '40000.op.40.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '40.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609146
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.bj1', '100.bk1', '100.bl1', '1250.d1', '1250.f1', '1250.h1'], 'contains': ['5000.e1', '5000.g1', '5000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [4700, -1, 9407, -1], 'generators': [27113, 21738, 848], 'label': '40000.op.2500.o1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.o1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609147
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2500.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['100.bm1', '100.bn1', '100.bo1', '1250.a1', '1250.c1', '1250.f1'], 'contains': ['5000.f1', '5000.g1', '5000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [1753, -1, 3645, -1], 'generators': [7393, 30058], 'label': '40000.op.2500.p1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '2500.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2500.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 205609148
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.a1', '800.b1', '800.c1', '800.d1', '800.e1', '800.f1', '800.g1', '800.h1', '800.i1', '2000.a1', '2000.c1', '2000.e1'], 'contains': ['8000.a1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2173, -1, 3733, -1], 'generators': [10004, 8000], 'label': '40000.op.4000.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '4000.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609149
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.a1', '800.b1', '800.f1', '800.j1', '800.k1', '800.l1', '800.m1', '800.n1', '800.o1', '800.p1', '800.q1', '800.q2', '800.r1', '2000.b1', '2000.d1', '2000.f1'], 'contains': ['8000.b1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [4419, -1, 3771, -1], 'generators': [10004, 16320], 'label': '40000.op.4000.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '4000.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.b1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609150
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.a1', '800.c1', '800.g1', '800.j1', '800.k1', '800.l1', '800.o1', '800.s1', '800.t1', '800.u1', '800.v1', '800.v2', '800.w1', '2000.g1', '2000.m1', '2000.o1'], 'contains': ['8000.c1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8096, -1, 4380, -1], 'generators': [10004, 19264], 'label': '40000.op.4000.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '4000.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.c1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609151
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.d1', '800.j1', '800.m1', '800.r1', '800.s1', '800.w1', '800.x1', '800.y1', '800.z1', '2000.h1', '2000.n1', '2000.p1'], 'contains': ['8000.d1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8553, -1, 5482, -1], 'generators': [10004, 1984], 'label': '40000.op.4000.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '4000.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.d1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609152
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['800.e1', '800.i1', '800.k1', '800.x1', '800.z1', '800.ba1', '800.bb1', '2000.i1', '2000.q1', '2000.s1'], 'contains': ['8000.e1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9331, -1, 6025, -1], 'generators': [10004, 9600], 'label': '40000.op.4000.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1', 'old_label': '4000.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.e1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609153
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.d1', '800.n1', '800.o1', '800.p1', '800.t1', '800.u1', '800.ba1', '800.bb1', '800.bc1', '2000.j1', '2000.r1', '2000.t1'], 'contains': ['8000.f1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8253, -1, 5717, -1], 'generators': [10004, 17344], 'label': '40000.op.4000.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '4000.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.f1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609154
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.a1', '800.b1', '800.c1', '800.d1', '800.e1', '800.j1', '800.k1', '800.l1', '800.m1', '800.n1', '800.p1', '800.q1', '800.q2', '800.s1', '800.t1', '800.u1', '800.v1', '800.v2', '800.x1', '800.ba1', '800.bd1', '800.bd2', '800.bd3', '800.bd4', '2000.k1'], 'contains': ['8000.g1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7072, -1, 4553, -1], 'generators': [10004, 9984], 'label': '40000.op.4000.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '4000.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609155
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.a1', '800.b1', '800.c1', '800.h1', '800.j1', '800.k1', '800.m1', '800.n1', '800.p1', '800.s1', '800.t1', '800.u1', '800.y1', '800.bc1', '800.bd1', '800.bd2', '800.bd3', '800.bd4', '2000.l1'], 'contains': ['8000.h1', '20000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6902, -1, 4591, -1], 'generators': [10004, 23104], 'label': '40000.op.4000.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '4000.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609156
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '20.c1'], 'contains': ['80.k1', '80.n1', '80.p1', '200.j1', '200.k1', '200.m1', '200.n1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8456, -1, 6032, -1], 'generators': [7050, 9600, 10004, 1984, 35408, 14720], 'label': '40000.op.40.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '40.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609157
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.be1', '800.bf1', '800.bh1', '800.bi1', '2000.a1', '2000.u1', '2000.w1'], 'contains': ['8000.a1', '20000.b1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 400, 'diagramx': [376, -1, 1050, -1], 'generators': [37897, 17600], 'label': '40000.op.4000.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '4000.i1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.i1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609158
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.be1', '800.bg1', '800.bj1', '800.bk1', '800.bl1', '2000.b1', '2000.v1', '2000.x1'], 'contains': ['8000.b1', '20000.b1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 800, 'diagramx': [705, -1, 1289, -1], 'generators': [37897, 37504], 'label': '40000.op.4000.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '200.g1', 'old_label': '4000.j1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609159
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.bg1', '800.bh1', '800.bi1', '800.bm1', '2000.c1', '2000.u1', '2000.w1'], 'contains': ['8000.a1', '20000.b1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [425, -1, 985, -1], 'generators': [160, 8000], 'label': '40000.op.4000.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '4000.k1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.k1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609160
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '400.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.bf1', '800.bj1', '800.bk1', '800.bl1', '800.bm1', '2000.d1', '2000.v1', '2000.x1'], 'contains': ['8000.b1', '20000.b1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [753, -1, 1255, -1], 'generators': [160, 16320], 'label': '40000.op.4000.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '40.a1', 'old_label': '4000.l1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.l1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609161
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.bn1', '800.bo1', '800.bp1', '800.bq1', '800.br1', '800.bs1', '800.bt1', '800.bu1', '800.bv1', '2000.e1', '2000.u1'], 'contains': ['8000.a1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [2505, -1, 7626, -1], 'generators': [25604, 25600], 'label': '40000.op.4000.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '4000.m1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.m1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609162
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.bn1', '800.bo1', '800.bs1', '800.bw1', '800.bx1', '800.by1', '800.bz1', '800.ca1', '800.cb1', '800.cc1', '800.cd1', '800.cd2', '800.ce1', '2000.f1', '2000.v1', '2000.ba1'], 'contains': ['8000.b1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [3389, -1, 8039, -1], 'generators': [260, 64], 'label': '40000.op.4000.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.b1', 'old_label': '4000.n1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.n1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609163
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.bn1', '800.bp1', '800.bt1', '800.bw1', '800.bx1', '800.by1', '800.cb1', '800.cf1', '800.cg1', '800.ch1', '800.ci1', '800.ci2', '800.cj1', '2000.g1', '2000.bb1'], 'contains': ['8000.c1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [5445, -1, 8138, -1], 'generators': [29060, 19264], 'label': '40000.op.4000.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '4000.o1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.o1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609164
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.bq1', '800.bw1', '800.bz1', '800.ce1', '800.cf1', '800.cj1', '800.ck1', '800.cl1', '800.cm1', '2000.h1', '2000.y1'], 'contains': ['8000.d1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [7725, -1, 8585, -1], 'generators': [24772, 32384], 'label': '40000.op.4000.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '4000.p1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.p1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609165
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['800.br1', '800.bv1', '800.bx1', '800.ck1', '800.cm1', '800.cn1', '800.co1', '2000.i1', '2000.z1'], 'contains': ['8000.e1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 500, 'diagramx': [9082, -1, 8676, -1], 'generators': [4, 9600], 'label': '40000.op.4000.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '4000.q1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.q1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609166
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.bq1', '800.ca1', '800.cb1', '800.cc1', '800.cg1', '800.ch1', '800.cn1', '800.co1', '800.cp1', '2000.j1', '2000.bc1'], 'contains': ['8000.f1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [5700, -1, 8645, -1], 'generators': [24580, 17344], 'label': '40000.op.4000.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.f1', 'old_label': '4000.r1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.r1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609167
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '20.e1'], 'contains': ['80.i1', '80.q1', '80.s1', '200.o1', '200.q1', '200.r1', '200.t1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9635, -1, 7577, -1], 'generators': [7233, 8000, 10004, 17984, 20816, 9600], 'label': '40000.op.40.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '40.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609168
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.bn1', '800.bo1', '800.bp1', '800.bq1', '800.br1', '800.bw1', '800.bx1', '800.by1', '800.bz1', '800.ca1', '800.cc1', '800.cd1', '800.cd2', '800.cf1', '800.cg1', '800.ch1', '800.ci1', '800.ci2', '800.ck1', '800.cn1', '800.cq1', '800.cq2', '800.cq3', '800.cq4', '2000.k1'], 'contains': ['8000.g1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8000, 'diagramx': [5791, -1, 8269, -1], 'generators': [4, 33984], 'label': '40000.op.4000.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2000.k1', 'old_label': '4000.s1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.s1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609169
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.bn1', '800.bo1', '800.bp1', '800.bu1', '800.bw1', '800.bx1', '800.bz1', '800.ca1', '800.cc1', '800.cf1', '800.cg1', '800.ch1', '800.cl1', '800.cp1', '800.cq1', '800.cq2', '800.cq3', '800.cq4', '2000.l1'], 'contains': ['8000.h1', '20000.c1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [5999, -1, 8328, -1], 'generators': [4, 23104], 'label': '40000.op.4000.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2000.l1', 'old_label': '4000.t1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.t1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609170
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.cr1', '800.cs1', '800.ct1', '800.cu1', '800.cv1', '800.cw1', '800.cx1', '800.cy1', '800.cz1', '2000.e1', '2000.w1', '2000.bd1', '2000.bf1'], 'contains': ['8000.a1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [2245, -1, 1223, -1], 'generators': [35600, 25600], 'label': '40000.op.4000.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.a1', 'old_label': '4000.u1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.u1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609171
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.cr1', '800.cs1', '800.cw1', '800.da1', '800.db1', '800.dc1', '800.dd1', '800.de1', '800.df1', '800.dg1', '800.dh1', '800.dh2', '800.di1', '2000.f1', '2000.x1', '2000.bh1'], 'contains': ['8000.b1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [3515, -1, 1620, -1], 'generators': [9936, 64], 'label': '40000.op.4000.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.b1', 'old_label': '4000.v1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.v1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609172
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.cr1', '800.ct1', '800.cx1', '800.da1', '800.db1', '800.dc1', '800.df1', '800.dj1', '800.dk1', '800.dl1', '800.dm1', '800.dm2', '800.dn1', '2000.g1', '2000.bg1'], 'contains': ['8000.c1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2000, 'diagramx': [3888, -1, 1759, -1], 'generators': [38736, 19264], 'label': '40000.op.4000.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.d1', 'old_label': '4000.w1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.w1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609173
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.cu1', '800.da1', '800.dd1', '800.di1', '800.dj1', '800.dn1', '800.do1', '800.dp1', '800.dq1', '2000.h1', '2000.bi1'], 'contains': ['8000.d1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [7646, -1, 2064, -1], 'generators': [34768, 32384], 'label': '40000.op.4000.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.c1', 'old_label': '4000.x1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.x1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609174
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['800.cv1', '800.cz1', '800.db1', '800.do1', '800.dq1', '800.dr1', '800.ds1', '2000.i1', '2000.be1'], 'contains': ['8000.e1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 500, 'diagramx': [8022, -1, 2156, -1], 'generators': [10000, 9600], 'label': '40000.op.4000.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.e1', 'old_label': '4000.y1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.y1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609175
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.cu1', '800.de1', '800.df1', '800.dg1', '800.dk1', '800.dl1', '800.dr1', '800.ds1', '800.dt1', '2000.j1'], 'contains': ['8000.f1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 1000, 'diagramx': [4452, -1, 2187, -1], 'generators': [34256, 17344], 'label': '40000.op.4000.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '500.f1', 'old_label': '4000.z1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.z1', 'subgroup_fusion': None, 'weyl_group': '20.3'}
  • id: 205609176
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['800.cr1', '800.cs1', '800.ct1', '800.cu1', '800.cv1', '800.da1', '800.db1', '800.dc1', '800.dd1', '800.de1', '800.dg1', '800.dh1', '800.dh2', '800.dj1', '800.dk1', '800.dl1', '800.dm1', '800.dm2', '800.do1', '800.dr1', '800.du1', '800.du2', '800.du3', '800.du4', '2000.k1'], 'contains': ['8000.g1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8000, 'diagramx': [4170, -1, 1989, -1], 'generators': [10000, 37184], 'label': '40000.op.4000.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2000.k1', 'old_label': '4000.ba1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.ba1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609177
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '4000.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['800.cr1', '800.cs1', '800.ct1', '800.cy1', '800.da1', '800.db1', '800.dd1', '800.de1', '800.dg1', '800.dj1', '800.dk1', '800.dl1', '800.dp1', '800.dt1', '800.du1', '800.du2', '800.du3', '800.du4', '2000.l1'], 'contains': ['8000.h1', '20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4000, 'diagramx': [4328, -1, 2033, -1], 'generators': [10000, 5120], 'label': '40000.op.4000.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2000.l1', 'old_label': '4000.bb1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4000.bb1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
  • id: 205609178
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '20.f1'], 'contains': ['80.l1', '80.r1', '80.t1', '200.p1', '200.r1', '200.s1', '200.t1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [9187, -1, 7297, -1], 'generators': [7233, 33600, 10004, 11584, 24976, 38720], 'label': '40000.op.40.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '40.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609179
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1000.a1', '1000.b1', '2500.a1', '2500.b1', '2500.c1', '2500.d1', '2500.e1'], 'contains': ['10000.a1', '10000.b1', '10000.e1', '10000.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [537, -1, 3118, -1], 'generators': [1120, 10004, 10000], 'label': '40000.op.5000.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609180
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1250.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1000.c1', '1000.d1', '2500.a1', '2500.f1', '2500.g1', '2500.h1', '2500.i1'], 'contains': ['10000.b1', '10000.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [4580, -1, 6232, -1], 'generators': [33418, 10000], 'label': '40000.op.5000.b1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609181
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1000.e1', '1000.f1', '2500.b1', '2500.f1', '2500.j1', '2500.k1'], 'contains': ['10000.b1', '10000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [7262, -1, 7497, -1], 'generators': [11265, 10000], 'label': '40000.op.5000.c1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609182
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1250.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1000.g1', '1000.h1', '2500.c1', '2500.i1', '2500.j1', '2500.l1', '2500.m1'], 'contains': ['10000.b1', '10000.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [2717, -1, 3071, -1], 'generators': [168, 10004], 'label': '40000.op.5000.d1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609183
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1250.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1000.i1', '1000.j1', '2500.e1', '2500.g1', '2500.j1', '2500.n1', '2500.o1'], 'contains': ['10000.b1', '10000.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [4700, -1, 8754, -1], 'generators': [27113, 848], 'label': '40000.op.5000.e1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609184
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1250.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1000.k1', '1000.l1', '2500.b1', '2500.c1', '2500.h1', '2500.n1', '2500.p1'], 'contains': ['10000.b1', '10000.j1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [1361, -1, 3165, -1], 'generators': [8, 10004], 'label': '40000.op.5000.f1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609185
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1000.m1', '1000.n1', '1000.o1', '2500.a1', '2500.d1', '2500.h1', '2500.k1', '2500.l1', '2500.o1', '2500.p1'], 'contains': ['10000.b1', '10000.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [1795, -1, 8377, -1], 'generators': [12459, 11216], 'label': '40000.op.5000.g1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609186
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1000.p1', '1000.q1', '2500.d1', '2500.f1', '2500.g1', '2500.m1', '2500.p1'], 'contains': ['10000.b1', '10000.k1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1250, 'diagramx': [2781, -1, 3224, -1], 'generators': [35979, 10004], 'label': '40000.op.5000.h1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '5000.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609187
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1000.r1', '2500.c1'], 'contains': ['10000.f1', '10000.i1', '10000.j1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 5000, 'diagramx': [469, -1, 396, -1], 'generators': [7393, 32060], 'label': '40000.op.5000.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.b1', 'old_label': '5000.i1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609188
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.ch1', '200.ci1', '2500.e1'], 'contains': ['10000.e1', '10000.g1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [431, -1, 8174, -1], 'generators': [23897, 160], 'label': '40000.op.5000.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.e1', 'old_label': '5000.j1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609189
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '20.e1'], 'contains': ['80.i1', '80.bd1', '200.u1', '200.y1', '200.z1', '200.ba1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [8403, -1, 4327, -1], 'generators': [168, 8000, 9296, 24384, 10004, 33600], 'label': '40000.op.40.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '40.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609190
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.ck1', '200.cl1', '200.cm1', '2500.o1'], 'contains': ['10000.g1', '10000.h1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 5000, 'diagramx': [8069, -1, 9867, -1], 'generators': [8505, 29034], 'label': '40000.op.5000.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.f1', 'old_label': '5000.k1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609191
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '5000.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5000.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['200.cn1', '200.co1', '2500.m1'], 'contains': ['10000.i1', '10000.k1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [2754, -1, 351, -1], 'generators': [5347, 24424], 'label': '40000.op.5000.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.g1', 'old_label': '5000.l1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5000.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 205609192
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1600.a1', '1600.b1', '1600.c1', '1600.d1', '1600.e1', '1600.f1', '1600.g1', '1600.h1', '1600.i1', '4000.a1', '4000.i1', '4000.k1', '4000.m1', '4000.u1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2245, -1, 3059, -1], 'generators': [25600], 'label': '40000.op.8000.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '8000.a1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609193
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1600.a1', '1600.b1', '1600.f1', '1600.j1', '1600.k1', '1600.l1', '1600.m1', '1600.n1', '1600.o1', '1600.p1', '1600.q1', '1600.q2', '1600.r1', '4000.b1', '4000.j1', '4000.l1', '4000.n1', '4000.v1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [3564, -1, 3201, -1], 'generators': [64], 'label': '40000.op.8000.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8000.b1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.b1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609194
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1600.a1', '1600.c1', '1600.g1', '1600.j1', '1600.k1', '1600.l1', '1600.o1', '1600.s1', '1600.t1', '1600.u1', '1600.v1', '1600.v2', '1600.w1', '4000.c1', '4000.o1', '4000.w1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [7552, -1, 3413, -1], 'generators': [14720], 'label': '40000.op.8000.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '8000.c1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.c1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609195
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1600.d1', '1600.j1', '1600.m1', '1600.r1', '1600.s1', '1600.w1', '1600.x1', '1600.y1', '1600.z1', '4000.d1', '4000.p1', '4000.x1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7739, -1, 3721, -1], 'generators': [32384], 'label': '40000.op.8000.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '8000.d1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.d1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609196
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1600.e1', '1600.i1', '1600.k1', '1600.x1', '1600.z1', '1600.ba1', '1600.bb1', '4000.e1', '4000.q1', '4000.y1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8715, -1, 4055, -1], 'generators': [9600], 'label': '40000.op.8000.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1', 'old_label': '8000.e1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.e1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609197
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1600.d1', '1600.n1', '1600.o1', '1600.p1', '1600.t1', '1600.u1', '1600.ba1', '1600.bb1', '1600.bc1', '4000.f1', '4000.r1', '4000.z1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7384, -1, 3752, -1], 'generators': [17344], 'label': '40000.op.8000.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '8000.f1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.f1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 205609198
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1600.a1', '1600.b1', '1600.c1', '1600.d1', '1600.e1', '1600.j1', '1600.k1', '1600.l1', '1600.m1', '1600.n1', '1600.p1', '1600.q1', '1600.q2', '1600.s1', '1600.t1', '1600.u1', '1600.v1', '1600.v2', '1600.x1', '1600.ba1', '1600.bd1', '1600.bd2', '1600.bd3', '1600.bd4', '4000.g1', '4000.s1', '4000.ba1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [6684, -1, 3557, -1], 'generators': [37184], 'label': '40000.op.8000.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '8000.g1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609199
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '8000.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1600.a1', '1600.b1', '1600.c1', '1600.h1', '1600.j1', '1600.k1', '1600.m1', '1600.n1', '1600.p1', '1600.s1', '1600.t1', '1600.u1', '1600.y1', '1600.bc1', '1600.bd1', '1600.bd2', '1600.bd3', '1600.bd4', '4000.h1', '4000.t1', '4000.bb1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [6571, -1, 3589, -1], 'generators': [23104], 'label': '40000.op.8000.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '8000.h1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8000.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609200
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '20.a1'], 'contains': ['80.j1', '80.be1', '200.u1', '200.v1', '200.w1', '200.x1', '200.y1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [2418, -1, 3604, -1], 'generators': [168, 8000, 9296, 13120, 10004, 1600], 'label': '40000.op.40.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '40.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609201
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '100.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.a1', '2000.b1', '2000.c1', '2000.d1', '5000.a1'], 'contains': ['20000.a1', '20000.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [602, -1, 2795, -1], 'generators': [160, 10004], 'label': '40000.op.10000.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '10000.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609202
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '625.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2000.e1', '2000.f1', '2000.g1', '2000.h1', '2000.i1', '2000.j1', '2000.k1', '2000.l1', '5000.a1', '5000.b1', '5000.c1', '5000.d1', '5000.e1', '5000.f1', '5000.g1', '5000.h1'], 'contains': ['20000.a1', '20000.c1', '20000.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [4580, -1, 5680, -1], 'generators': [10004, 10000], 'label': '40000.op.10000.b1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '10000.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205609211
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '20.e1'], 'contains': ['80.i1', '80.y1', '200.bb1', '200.be1', '200.bg1', '200.bh1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9370, -1, 9188, -1], 'generators': [27113, 8000, 38852, 17984, 9296, 33600], 'label': '40000.op.40.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '40.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609212
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '10000.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2500.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2000.bh1', '2000.bi1', '5000.h1', '5000.l1'], 'contains': ['20000.d1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 2500, 'diagramx': [2754, -1, 723, -1], 'generators': [5347], 'label': '40000.op.10000.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1250.g1', 'old_label': '10000.k1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10000.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 205609213
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4000.a1', '4000.b1', '4000.c1', '4000.d1', '4000.e1', '4000.f1', '4000.g1', '4000.h1', '10000.a1', '10000.b1', '10000.c1', '10000.d1'], 'contains': ['40000.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7497, 9752, 4591, 8555], 'generators': [10004], 'label': '40000.op.20000.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '20000.a1', 'normal_contained_in': ['32.a1'], 'normal_contains': ['40000.a1'], 'normalizer': '1.a1', 'old_label': '20000.a1', 'projective_image': '20000.bq', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20000.bq', 'quotient_action_kernel_order': 20000, 'quotient_fusion': None, 'short_label': '20000.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205609214
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20000.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '100.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4000.i1', '4000.j1', '4000.k1', '4000.l1', '10000.a1', '10000.e1', '10000.f1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [542, -1, 1272, -1], 'generators': [37897], 'label': '40000.op.20000.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.l1', 'old_label': '20000.b1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20000.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205609215
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20000.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '625.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4000.m1', '4000.n1', '4000.o1', '4000.p1', '4000.q1', '4000.r1', '4000.s1', '4000.t1', '10000.b1', '10000.e1', '10000.g1', '10000.h1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [5700, -1, 8269, -1], 'generators': [4], 'label': '40000.op.20000.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '20000.c1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20000.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205609216
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '20000.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '625.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4000.u1', '4000.v1', '4000.w1', '4000.x1', '4000.y1', '4000.z1', '4000.ba1', '4000.bb1', '10000.b1', '10000.f1', '10000.i1', '10000.j1', '10000.k1'], 'contains': ['40000.a1'], 'core': '40000.a1', 'coset_action_label': None, 'count': 625, 'diagramx': [3721, -1, 1874, -1], 'generators': [10000], 'label': '40000.op.20000.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '625.a1', 'old_label': '20000.d1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20000.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205609217
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8000.a1', '8000.b1', '8000.c1', '8000.d1', '8000.e1', '8000.f1', '8000.g1', '8000.h1', '20000.a1', '20000.b1', '20000.c1', '20000.d1'], 'contains': [], 'core': '40000.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6639, 9752, 3572, 8555], 'generators': [], 'label': '40000.op.40000.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40000.a1', 'normal_contained_in': ['64.a1', '20000.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '40000.a1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40000.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 205609218
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '20.c1'], 'contains': ['80.k1', '80.z1', '200.bc1', '200.bd1', '200.be1', '200.bf1', '200.bg1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8606, -1, 9102, -1], 'generators': [37865, 9600, 19012, 1984, 27408, 14720], 'label': '40000.op.40.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '40.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609219
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '20.d1'], 'contains': ['80.g1', '80.bf1', '200.bi1', '200.bk1', '200.bm1', '200.bn1', '200.bo1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [2680, -1, 3899, -1], 'generators': [8, 8000, 16, 24704, 10004, 14720], 'label': '40000.op.40.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '40.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609220
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': ['20000.b1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.g1', '4.h1', '4.n1', '4.o1', '4.p1', '50.g1'], 'core': '2.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [3173, 7018, 6364, 7186], 'generators': [8000, 1600, 2, 32064, 35140, 30720, 7393, 8, 15568], 'label': '40000.op.2.f1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.g1', '4.h1', '4.n1', '4.o1', '4.p1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': '20000.bq', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205609221
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '20.a1'], 'contains': ['80.j1', '80.bg1', '200.bi1', '200.bj1', '200.bk1', '200.bl1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [1755, -1, 3263, -1], 'generators': [7393, 8000, 15568, 2624, 10004, 25600], 'label': '40000.op.40.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '40.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.l1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609222
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '20.d1'], 'contains': ['80.g1', '80.ba1', '200.bq1', '200.br1', '200.bt1', '200.bv1', '200.bw1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3563, -1, 8556, -1], 'generators': [2, 8000, 4, 22144, 16, 22720], 'label': '40000.op.40.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '40.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.m1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609223
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '20.b1'], 'contains': ['80.h1', '80.bb1', '200.bp1', '200.br1', '200.bs1', '200.bt1', '200.bu1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [2754, -1, 8158, -1], 'generators': [2, 25600, 4, 7104, 14608, 17920], 'label': '40000.op.40.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '40.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.n1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609224
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '20.f1'], 'contains': ['80.l1', '80.bc1', '200.bs1', '200.bt1', '200.bt2', '200.bv1', '200.bx1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3864, -1, 8642, -1], 'generators': [8810, 33600, 21508, 27264, 16976, 24320], 'label': '40000.op.40.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '40.o1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.o1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609225
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '20.b1'], 'contains': ['80.h1', '80.bh1', '200.by1', '200.bz1', '200.ca1', '200.cb1', '200.cc1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3246, -1, 4238, -1], 'generators': [6155, 25600, 10960, 17984, 10004, 14720], 'label': '40000.op.40.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '40.p1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.p1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609226
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '20.c1'], 'contains': ['80.k1', '80.bi1', '200.bz1', '200.cc1', '200.cd1', '200.ce1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [7903, -1, 4597, -1], 'generators': [11171, 9600, 1936, 1984, 10004, 14720], 'label': '40000.op.40.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '40.q1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.q1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609227
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '40.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.i1', '20.a1'], 'contains': ['80.x1', '80.be1', '80.bg1', '200.cf1', '200.cg1', '200.cj1'], 'core': '40000.a1', 'coset_action_label': '40T15272', 'count': 160, 'diagramx': [454, -1, 605, -1], 'generators': [7393, 8000, 15568, 16704, 34876, 17600], 'label': '40000.op.40.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '40.r1', 'projective_image': '40000.op', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.r1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609228
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['100.b1', '100.e1', '100.h1', '100.n1', '100.s1', '100.z1', '100.bn1', '1250.a1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 200, 'diagramx': [3174, -1, 5705, -1], 'generators': [7233, 17984, 32160, 10004, 2, 16320, 10000], 'label': '40000.op.50.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.a1', 'old_label': '50.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609229
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['100.a1', '100.f1', '100.r1', '100.t1', '100.bd1', '1250.b1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2272, -1, 5451, -1], 'generators': [12162, 35264, 8800, 22148, 8, 8000, 16], 'label': '40000.op.50.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '50.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609230
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1'], 'contains': ['100.c1', '100.i1', '100.k1', '100.p1', '100.bj1', '1250.d1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [2122, -1, 6868, -1], 'generators': [33545, 2944, 32160, 10004, 31498, 320, 7696], 'label': '40000.op.50.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.c1', 'old_label': '50.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.c1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609231
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': ['20000.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.f1', '4.g1', '4.i1', '4.j1', '4.m1', '50.f1'], 'core': '2.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5874, 4394, 6193, 4500], 'generators': [8000, 33600, 3170, 38784, 10004, 11520, 7233, 168, 17168], 'label': '40000.op.2.g1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.f1', '4.g1', '4.i1', '4.j1', '4.m1'], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': '20000.bq', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205609232
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1'], 'contains': ['100.d1', '100.g1', '100.j1', '100.x1', '100.bh1', '1250.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [140, -1, 6371, -1], 'generators': [7233, 25600, 33440, 10004, 26760, 8000, 21712], 'label': '40000.op.50.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.d1', 'old_label': '50.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.d1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609233
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1'], 'contains': ['100.l1', '100.m1', '100.bc1', '100.bf1', '100.bm1', '1250.c1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [1933, -1, 4280, -1], 'generators': [7393, 28224, 24168, 24196, 30722, 25600, 15568], 'label': '40000.op.50.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.e1', 'old_label': '50.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.e1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205609234
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1'], 'contains': ['100.o1', '100.q1', '100.u1', '100.y1', '100.bg1', '1250.g1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9935, -1, 6560, -1], 'generators': [7233, 11584, 31208, 10004, 3170, 9600, 17168], 'label': '40000.op.50.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.f1', 'old_label': '50.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.f1', 'subgroup_fusion': None, 'weyl_group': '400.207'}
  • id: 205609235
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10000.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.f1'], 'contains': ['100.v1', '100.w1', '100.bi1', '100.bk1', '100.bo1', '1250.f1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [5904, -1, 6474, -1], 'generators': [7393, 19264, 36808, 10004, 3170, 11520, 15568], 'label': '40000.op.50.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.g1', 'old_label': '50.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.g1', 'subgroup_fusion': None, 'weyl_group': '200.44'}
  • id: 205609236
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '50.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.h1'], 'contains': ['100.ba1', '100.bb1', '100.be1', '100.bl1', '1250.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [9541, -1, 7750, -1], 'generators': [7233, 17984, 21608, 10004, 2, 33600, 10000], 'label': '40000.op.50.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.h1', 'old_label': '50.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.h1', 'subgroup_fusion': None, 'weyl_group': '400.212'}
  • id: 205609237
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1', 'complements': ['625.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1'], 'contains': ['320.a1', '320.b1', '320.c1', '320.d1', '320.e1', '320.f1', '320.g1', '320.h1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6752, 5292, 3399, 5419], 'generators': [17984, 9600, 8000, 14720], 'label': '40000.op.64.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1'], 'normal_contains': ['40000.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '40000.op', 'quotient_action_image': '32.50', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '32.50'}
  • id: 205609238
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.d1', '40.a1'], 'contains': ['160.d1', '160.i1', '400.a1', '400.b1', '400.f1', '400.g1', '400.h1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [1104, -1, 2188, -1], 'generators': [160, 17984, 1600, 10004, 16320], 'label': '40000.op.80.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '80.a1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205609239
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '40.b1'], 'contains': ['160.f1', '160.j1', '400.a1', '400.c1', '400.d1', '400.e1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [717, -1, 2001, -1], 'generators': [160, 11264, 9600, 10004, 8000], 'label': '40000.op.80.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '80.b1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205609240
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.d1', '40.a1'], 'contains': ['160.d1', '160.k1', '400.c1', '400.f1', '400.g1', '400.h1', '400.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1171, -1, 2095, -1], 'generators': [19145, 14720, 39424, 10004, 25600], 'label': '40000.op.80.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '80.c1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205609241
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '40.b1'], 'contains': ['160.f1', '160.l1', '400.b1', '400.d1', '400.e1', '400.i1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [774, -1, 1908, -1], 'generators': [160, 9600, 8320, 10004, 8000], 'label': '40000.op.80.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '80.d1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '200.48'}
  • id: 205609242
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '2.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': ['20000.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.j1', '4.k1', '4.l1', '4.o1', '50.h1'], 'core': '2.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [5814, 5724, 7121, 5861], 'generators': [8000, 33600, 2, 17984, 10004, 14720, 7233, 168, 10000], 'label': '40000.op.2.h1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.h1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.j1', '4.k1', '4.l1', '4.o1'], 'normalizer': '1.a1', 'old_label': '2.h1', 'projective_image': '20000.bq', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.h1', 'subgroup_fusion': None, 'weyl_group': '20000.bq'}
  • id: 205609243
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.a1'], 'contains': ['160.a1', '160.m1', '160.u1', '400.j1', '400.k1', '400.l1', '400.m1', '400.n1', '400.s1', '400.t1', '400.u1', '400.v1', '400.w1', '400.y1', '400.z1', '400.z2', '400.bb1', '400.bc1', '400.bd1', '400.be1', '400.be2', '400.bg1', '400.bj1', '400.bm1', '400.bm2', '400.bm3', '400.bm4'], 'core': '20000.a1', 'coset_action_label': None, 'count': 320, 'diagramx': [5255, -1, 5998, -1], 'generators': [10004, 17984, 30720, 10000, 9600], 'label': '40000.op.80.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '80.e1', 'old_label': '80.e1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': '250.14'}
  • id: 205609244
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.a1'], 'contains': ['160.b1', '160.n1', '160.v1', '400.j1', '400.k1', '400.l1', '400.m1', '400.q1', '400.s1', '400.v1', '400.w1', '400.y1', '400.bb1', '400.bc1', '400.bd1', '400.bh1', '400.bl1', '400.bm1', '400.bm2', '400.bm3', '400.bm4'], 'core': '20000.a1', 'coset_action_label': None, 'count': 160, 'diagramx': [5094, -1, 6118, -1], 'generators': [10004, 17984, 30720, 10000, 25600], 'label': '40000.op.80.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '80.f1', 'old_label': '80.f1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': '250.14'}
  • id: 205609245
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '40.c1', '40.k1', '40.m1'], 'contains': ['160.c1', '160.o1', '160.w1', '400.j1', '400.l1', '400.m1', '400.p1', '400.s1', '400.u1', '400.x1', '400.bb1', '400.bc1', '400.bd1', '400.be1', '400.be2', '400.bf1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [4859, -1, 5897, -1], 'generators': [10004, 25984, 22720, 39568, 17600], 'label': '40000.op.80.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '80.g1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609246
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '40.a1', '40.n1', '40.p1'], 'contains': ['160.d1', '160.p1', '160.x1', '400.j1', '400.k1', '400.m1', '400.o1', '400.s1', '400.u1', '400.v1', '400.w1', '400.x1', '400.y1', '400.z1', '400.z2', '400.ba1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [3040, -1, 5332, -1], 'generators': [10004, 17984, 14720, 14608, 25600], 'label': '40000.op.80.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.b1', 'old_label': '80.h1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609247
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.e1', '40.g1', '40.i1'], 'contains': ['160.e1', '160.q1', '160.y1', '400.m1', '400.n1', '400.r1', '400.bg1', '400.bi1', '400.bj1', '400.bk1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 20, 'diagramx': [9207, -1, 6857, -1], 'generators': [10004, 17984, 9600, 20816, 8000], 'label': '40000.op.80.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '80.i1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.i1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609248
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '40.b1', '40.h1', '40.l1'], 'contains': ['160.f1', '160.r1', '160.z1', '400.j1', '400.k1', '400.l1', '400.n1', '400.o1', '400.p1', '400.q1', '400.r1', '400.t1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [2058, -1, 5188, -1], 'generators': [10004, 39424, 9600, 848, 8000], 'label': '40000.op.80.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.a1', 'old_label': '80.j1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.j1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609249
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '40.d1', '40.j1', '40.q1'], 'contains': ['160.g1', '160.s1', '160.ba1', '400.s1', '400.t1', '400.v1', '400.ba1', '400.bb1', '400.bf1', '400.bg1', '400.bh1', '400.bi1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8173, -1, 6200, -1], 'generators': [10004, 1984, 22720, 11408, 9600], 'label': '40000.op.80.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '80.k1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.k1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609250
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20000.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '40.f1', '40.o1'], 'contains': ['160.h1', '160.t1', '160.bb1', '400.t1', '400.w1', '400.x1', '400.y1', '400.bc1', '400.bd1', '400.bj1', '400.bk1', '400.bl1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [5529, -1, 6555, -1], 'generators': [10004, 17984, 14720, 10000, 9600], 'label': '40000.op.80.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.f1', 'old_label': '80.l1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.l1', 'subgroup_fusion': None, 'weyl_group': '1000.170'}
  • id: 205609251
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '40.c1'], 'contains': ['160.c1', '400.bn1', '400.bo1', '400.bp1', '400.bs1', '400.bt1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [8024, -1, 4897, -1], 'generators': [21578, 17600, 10004, 14720, 33024], 'label': '40000.op.80.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '80.m1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.m1', 'subgroup_fusion': None, 'weyl_group': '40.12'}
  • id: 205609252
    {'ambient': '40000.op', 'aut_centralizer_order': None, 'aut_label': '80.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '800.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '40.d1'], 'contains': ['160.g1', '400.bn1', '400.bq1', '400.br1', '400.bu1'], 'core': '20000.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [8482, -1, 5496, -1], 'generators': [36106, 9600, 10004, 14720, 21184], 'label': '40000.op.80.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '80.n1', 'projective_image': '20000.bq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.n1', 'subgroup_fusion': None, 'weyl_group': '40.12'}