Abstract group data - 49152.nz

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• 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': '4.2', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [4, 8, 8, 4, 4, 8, 4, 4], 'aut_gens': [[324406735719760038223312, 432475093854571140547200, 540643971961189621313278], [350207539868583190921559, 432475093501673457674880, 594596007252991883082832], [540643972320980569025153, 270240740219555839250062, 324406870166824380218879], [108169512655792323479633, 296041409922622197674176, 594545294049386820577903], [378358771008778949082942, 458377823439891887592361, 594545037601546968681456], [540643971962503522696918, 296041409921314523664022, 378359027100937472873038], [324406736072657760654719, 270240483770221629744126, 134021272942553337763183], [162121291494169263362633, 242089496277402335390776, 540593137470961203551872], [378307558065819442625153, 432474715762926227158456, 566496366440129423015752]], 'aut_group': None, 'aut_hash': 7829140440281219398, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6291456, 'aut_permdeg': 384, 'aut_perms': [43303151694076089204805970191455462000733437503205691761038341672224970016008334110778416392929119816771756377732307783739486898895836134619290156141289503735209657605841697108473385711055759358807759948312956412991082072773180498141127495237979775553573672392870855961831372476392960369368995115719840113597843475667424903528500055131972599248038656634461293449105342524572703143813972725734887211399987444458682514821268325943881886143278560838797024703031891250636200366124395563987315040717385302138265589372900460238049126734003959026262436452069098121617800937898609599353307966437613944812791053763782300836909620029976411503839570496819408660240201450851051928805120268062228491379712382050413588594394285379955229426195979853102024761862936262596472272401810554232862343442329738824255152369537737157035958571942689373, 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108357593312725036210530889245649585370476869804776550509526524623504218875347065560676234266580553743541436359048106245711615589426026413487465885883893560730567863024991417175589043069893701987838547878655409269318038026278328457690161940704287381888492208820016234189202910935336010104128237671033156164414611707356779816940664742676707706092062815988633140290435755960795105762546439953418596257077373554814681666032654011833413411261515073081792621206548599494273916659007940230861617499483990097918286901849702383386926489652323175278872951430109337112282702827216109781163327082222840434370165007149777015166663880050454381817109442514750031363224746157718388596271993665829591946857214902353137566883503216314078829121374910456053564406189060741040313423258794639042671949282237015465256573882931078726234917470618720111], 'aut_phi_ratio': 384.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 1, 2], [2, 3, 2, 2], [2, 6, 1, 5], [2, 6, 2, 1], [2, 24, 2, 2], [2, 48, 1, 2], [2, 48, 2, 1], [2, 48, 4, 2], [2, 96, 1, 1], [2, 96, 2, 2], [2, 96, 4, 1], [2, 192, 2, 1], [3, 2048, 1, 1], [4, 12, 4, 1], [4, 16, 2, 1], [4, 24, 2, 1], [4, 24, 4, 1], [4, 32, 1, 1], [4, 48, 2, 2], [4, 48, 4, 2], [4, 48, 8, 1], [4, 96, 1, 4], [4, 96, 4, 2], [4, 96, 8, 2], [4, 192, 2, 6], [4, 192, 4, 4], [4, 768, 8, 1], [6, 2048, 1, 1], [6, 2048, 2, 1], [8, 768, 2, 2], [8, 768, 4, 2], [8, 1536, 4, 1], [12, 2048, 2, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_2^5.C_2^6.C_6.C_2^6.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': None, 'autcentquo_hash': 1657002828416672943, 'autcentquo_nilpotent': False, 'autcentquo_order': 1572864, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^4.C_2^6.C_6.C_2^4.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 3, 6], [2, 6, 7], [2, 24, 4], [2, 48, 12], [2, 96, 9], [2, 192, 2], [3, 2048, 1], [4, 12, 4], [4, 16, 2], [4, 24, 6], [4, 32, 1], [4, 48, 20], [4, 96, 28], [4, 192, 28], [4, 768, 8], [6, 2048, 3], [8, 768, 12], [8, 1536, 4], [12, 2048, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': None, 'commutator_count': 2, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 15, 'conjugacy_classes_known': True, 'counter': 364, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 1, 6], [2, 6, 1, 7], [2, 24, 1, 4], [2, 48, 1, 12], [2, 96, 1, 9], [2, 192, 1, 2], [3, 2048, 1, 1], [4, 12, 1, 4], [4, 16, 2, 1], [4, 24, 1, 6], [4, 32, 1, 1], [4, 48, 1, 20], [4, 96, 1, 24], [4, 96, 2, 2], [4, 192, 1, 28], [4, 768, 1, 8], [6, 2048, 1, 1], [6, 2048, 2, 1], [8, 768, 1, 12], [8, 1536, 1, 4], [12, 2048, 2, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 24, 'exponents_of_order': [14, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 32], [48, 1, 2]], 'familial': False, 'frattini_label': '64.267', 'frattini_quotient': '768.1090235', 'hash': 1410416440151032101, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [4, 6, 4], 'inner_gens': [[324406735719760038223312, 242089631080154105851441, 134021651038289450980417], [540592881021807489815632, 432475093854571140547200, 108118421355137293521343], [133970438453813304969479, 242089752728044219627446, 540643971961189621313278]], 'inner_hash': 7803420404517911634, 'inner_nilpotent': False, 'inner_order': 24576, 'inner_split': False, 'inner_tex': 'C_2^5.C_2^6.D_6', 'inner_used': [1, 2, 3], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 4], [2, 2], [3, 28], [4, 4], [6, 14], [8, 8], [12, 68], [24, 26], [48, 10]], 'label': '49152.nz', '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': 'C2^8.C2^3:S4', 'ngens': 3, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 64, 'number_characteristic_subgroups': 32, 'number_conjugacy_classes': 164, 'number_divisions': 158, 'number_normal_subgroups': 58, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 49152, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 1983], [3, 2048], [4, 15424], [6, 6144], [8, 15360], [12, 8192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 2, 2, 4], 'outer_gen_pows': [0, 122000787877207687, 0, 0, 0, 0, 0], 'outer_gens': [[404210921837720710849777, 458378079536141476605487, 620448280086831229151863], [404210921837720710849777, 432475093854571140547200, 594545293696489010704056], [324406614430347057487319, 432474971855084750966400, 540643971962503522702073], [324406614429045649699192, 432474971855084750966400, 540643971961189581028438], [324406614430347057487319, 432474971855084750971567, 540643971961189581033593], [350207540225758877340119, 458378201535627866186287, 566444897757902848228433], [404210787743566546025022, 432475093854571140547200, 540593137473750908865222]], 'outer_group': '256.55643', 'outer_hash': 55643, 'outer_nilpotent': True, 'outer_order': 256, 'outer_permdeg': 14, 'outer_perms': [6267305934, 289, 288, 367921, 6267744415, 13412851200, 33265209601], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5:D_4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 4], [2, 2], [3, 28], [4, 4], [6, 14], [8, 2], [12, 68], [16, 1], [24, 24], [32, 1], [48, 9], [96, 1]], 'representations': {'PC': {'code': '2319815593751020901071564699007412310409578987935505079196972227715248488370494090811814336314800143153624793454078308928055930110114661544227790296150143155469567843905100964503833176390106686919072216157650366881847670531640413954676875898938432929677786889440043810755505817664947406105963979799760896', 'gens': [1, 2, 4, 5, 7, 8, 10, 12, 13, 14, 15], 'pres': [15, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 379260, 227101, 76, 1347122, 22172, 1869843, 887058, 530133, 3314704, 1025569, 620359, 89299, 214, 1416965, 708500, 380195, 1515786, 1743861, 713196, 178971, 6816, 2139847, 528502, 719317, 159412, 33667, 25777, 352, 421208, 236543, 105338, 4780809, 1039524, 606189, 48054, 24069, 13299, 11514, 444, 2280970, 1172185, 522760, 2764811, 1382426, 641561, 2096652, 1984347, 374442, 529228, 909763, 7354814, 3808379, 716219, 374474, 72104, 52319, 10949]}, 'Perm': {'d': 24, 'gens': [324406735719760038223312, 432475093854571140547200, 540643971961189621313278]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 32, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^8.C_2^3:S_4', 'transitive_degree': 24, '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: 163124649
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 364, 'group_order': 49152, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 163124725
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 364, 'group_order': 49152, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 25903229683158464681647, 'size': 1}
  • id: 163124736
    {'aut_label': '2B', 'centralizer': '2.A', 'counter': 3, 'group_counter': 364, 'group_order': 49152, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 122000787877207687, 'size': 2}
  • id: 163124747
    {'aut_label': '2C', 'centralizer': '3.a1', 'counter': 4, 'group_counter': 364, 'group_order': 49152, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 40284840, 'size': 3}
  • id: 163124758
    {'aut_label': '2D', 'centralizer': '3.a1', 'counter': 5, 'group_counter': 364, 'group_order': 49152, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 5167, 'size': 3}
  • id: 163124769
    {'aut_label': '2D', 'centralizer': '3.a1', 'counter': 6, 'group_counter': 364, 'group_order': 49152, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 1313901388807, 'size': 3}
  • id: 163124780
    {'aut_label': '2F', 'centralizer': '3.a1', 'counter': 7, 'group_counter': 364, 'group_order': 49152, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 122002101778601640, 'size': 3}
  • id: 163124791
    {'aut_label': '2G', 'centralizer': '3.a1', 'counter': 8, 'group_counter': 364, 'group_order': 49152, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 1313941673647, 'size': 3}
  • id: 163124802
    {'aut_label': '2G', 'centralizer': '3.a1', 'counter': 9, 'group_counter': 364, 'group_order': 49152, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 25903229681844563292840, 'size': 3}
  • id: 163124650
    {'aut_label': '2I', 'centralizer': '6.A', 'counter': 10, 'group_counter': 364, 'group_order': 49152, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 40284847, 'size': 6}
  • id: 163124661
    {'aut_label': '2I', 'centralizer': '6.A', 'counter': 11, 'group_counter': 364, 'group_order': 49152, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 122000787877212840, 'size': 6}
  • id: 163124672
    {'aut_label': '2K', 'centralizer': '6.A', 'counter': 12, 'group_counter': 364, 'group_order': 49152, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 122000787877212847, 'size': 6}
  • id: 163124683
    {'aut_label': '2L', 'centralizer': '6.A', 'counter': 13, 'group_counter': 364, 'group_order': 49152, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 122002101778601647, 'size': 6}
  • id: 163124694
    {'aut_label': '2M', 'centralizer': '6.A', 'counter': 14, 'group_counter': 364, 'group_order': 49152, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 7, 'size': 6}
  • id: 163124705
    {'aut_label': '2N', 'centralizer': '6.A', 'counter': 15, 'group_counter': 364, 'group_order': 49152, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 40279687, 'size': 6}
  • id: 163124716
    {'aut_label': '2O', 'centralizer': '6.A', 'counter': 16, 'group_counter': 364, 'group_order': 49152, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 1313901393967, 'size': 6}
  • id: 163124722
    {'aut_label': '2P', 'centralizer': '24.DR', 'counter': 17, 'group_counter': 364, 'group_order': 49152, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 358477220505720, 'size': 24}
  • id: 163124723
    {'aut_label': '2Q', 'centralizer': '24.DR', 'counter': 18, 'group_counter': 364, 'group_order': 49152, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 358477220510640, 'size': 24}
  • id: 163124724
    {'aut_label': '2P', 'centralizer': '24.DS', 'counter': 19, 'group_counter': 364, 'group_order': 49152, 'label': '2R', 'order': 2, 'powers': [1, 19], 'representative': 51212944273448131216, 'size': 24}
  • id: 163124726
    {'aut_label': '2Q', 'centralizer': '24.DS', 'counter': 20, 'group_counter': 364, 'group_order': 49152, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 51212944273448131223, 'size': 24}
  • id: 163124727
    {'aut_label': '2T', 'centralizer': None, 'counter': 21, 'group_counter': 364, 'group_order': 49152, 'label': '2T', 'order': 2, 'powers': [1, 21], 'representative': 6314123521, 'size': 48}
  • id: 163124728
    {'aut_label': '2T', 'centralizer': None, 'counter': 22, 'group_counter': 364, 'group_order': 49152, 'label': '2U', 'order': 2, 'powers': [1, 22], 'representative': 355693655128336, 'size': 48}
  • id: 163124729
    {'aut_label': '2V', 'centralizer': None, 'counter': 23, 'group_counter': 364, 'group_order': 49152, 'label': '2V', 'order': 2, 'powers': [1, 23], 'representative': 358477220505727, 'size': 48}
  • id: 163124730
    {'aut_label': '2W', 'centralizer': None, 'counter': 24, 'group_counter': 364, 'group_order': 49152, 'label': '2W', 'order': 2, 'powers': [1, 24], 'representative': 358477220510647, 'size': 48}
  • id: 163124731
    {'aut_label': '2X', 'centralizer': None, 'counter': 25, 'group_counter': 364, 'group_order': 49152, 'label': '2X', 'order': 2, 'powers': [1, 25], 'representative': 256094954456515200, 'size': 48}
  • id: 163124732
    {'aut_label': '2X', 'centralizer': None, 'counter': 26, 'group_counter': 364, 'group_order': 49152, 'label': '2Y', 'order': 2, 'powers': [1, 26], 'representative': 51091300648883139256, 'size': 48}
  • id: 163124733
    {'aut_label': '2T', 'centralizer': None, 'counter': 27, 'group_counter': 364, 'group_order': 49152, 'label': '2Z', 'order': 2, 'powers': [1, 27], 'representative': 51212945749338782761, 'size': 48}
  • id: 163124734
    {'aut_label': '2T', 'centralizer': None, 'counter': 28, 'group_counter': 364, 'group_order': 49152, 'label': '2AA', 'order': 2, 'powers': [1, 28], 'representative': 51347039909644246447, 'size': 48}
  • id: 163124735
    {'aut_label': '2AB', 'centralizer': None, 'counter': 29, 'group_counter': 364, 'group_order': 49152, 'label': '2AB', 'order': 2, 'powers': [1, 29], 'representative': 256099051835843896, 'size': 48}
  • id: 163124737
    {'aut_label': '2AB', 'centralizer': None, 'counter': 30, 'group_counter': 364, 'group_order': 49152, 'label': '2AC', 'order': 2, 'powers': [1, 30], 'representative': 25903485779582497742776, 'size': 48}
  • id: 163124738
    {'aut_label': '2AB', 'centralizer': None, 'counter': 31, 'group_counter': 364, 'group_order': 49152, 'label': '2AD', 'order': 2, 'powers': [1, 31], 'representative': 25903229681850789950646, 'size': 48}
  • id: 163124739
    {'aut_label': '2AB', 'centralizer': None, 'counter': 32, 'group_counter': 364, 'group_order': 49152, 'label': '2AE', 'order': 2, 'powers': [1, 32], 'representative': 51091297859137536121, 'size': 48}
  • id: 163124740
    {'aut_label': '2AF', 'centralizer': None, 'counter': 33, 'group_counter': 364, 'group_order': 49152, 'label': '2AF', 'order': 2, 'powers': [1, 33], 'representative': 355693695408016, 'size': 96}
  • id: 163124741
    {'aut_label': '2AG', 'centralizer': None, 'counter': 34, 'group_counter': 364, 'group_order': 49152, 'label': '2AG', 'order': 2, 'powers': [1, 34], 'representative': 358477133788800, 'size': 96}
  • id: 163124742
    {'aut_label': '2AG', 'centralizer': None, 'counter': 35, 'group_counter': 364, 'group_order': 49152, 'label': '2AH', 'order': 2, 'powers': [1, 35], 'representative': 358477133788807, 'size': 96}
  • id: 163124743
    {'aut_label': '2AI', 'centralizer': None, 'counter': 36, 'group_counter': 364, 'group_order': 49152, 'label': '2AI', 'order': 2, 'powers': [1, 36], 'representative': 122000794064311801, 'size': 96}
  • id: 163124744
    {'aut_label': '2AF', 'centralizer': None, 'counter': 37, 'group_counter': 364, 'group_order': 49152, 'label': '2AJ', 'order': 2, 'powers': [1, 37], 'representative': 122000794151051521, 'size': 96}
  • id: 163124745
    {'aut_label': '2AK', 'centralizer': None, 'counter': 38, 'group_counter': 364, 'group_order': 49152, 'label': '2AK', 'order': 2, 'powers': [1, 38], 'representative': 256094954456515207, 'size': 96}
  • id: 163124746
    {'aut_label': '2AG', 'centralizer': None, 'counter': 39, 'group_counter': 364, 'group_order': 49152, 'label': '2AL', 'order': 2, 'powers': [1, 39], 'representative': 256094954543232127, 'size': 96}
  • id: 163124748
    {'aut_label': '2AI', 'centralizer': None, 'counter': 40, 'group_counter': 364, 'group_order': 49152, 'label': '2AM', 'order': 2, 'powers': [1, 40], 'representative': 256097737974729616, 'size': 96}
  • id: 163124749
    {'aut_label': '2AG', 'centralizer': None, 'counter': 41, 'group_counter': 364, 'group_order': 49152, 'label': '2AN', 'order': 2, 'powers': [1, 41], 'representative': 51212944273534848136, 'size': 96}
  • id: 163124750
    {'aut_label': '2AO', 'centralizer': None, 'counter': 42, 'group_counter': 364, 'group_order': 49152, 'label': '2AO', 'order': 2, 'powers': [1, 42], 'representative': 108118165262978642711632, 'size': 192}
  • id: 163124751
    {'aut_label': '2AO', 'centralizer': None, 'counter': 43, 'group_counter': 364, 'group_order': 49152, 'label': '2AP', 'order': 2, 'powers': [1, 43], 'representative': 108118165262978730182272, 'size': 192}
  • id: 163124752
    {'aut_label': '3A', 'centralizer': None, 'counter': 44, 'group_counter': 364, 'group_order': 49152, 'label': '3A', 'order': 3, 'powers': [44, 1], 'representative': 270240605415322038201616, 'size': 2048}
  • id: 163124753
    {'aut_label': '4A', 'centralizer': '12.BI', 'counter': 45, 'group_counter': 364, 'group_order': 49152, 'label': '4A', 'order': 4, 'powers': [4, 45], 'representative': 87465720, 'size': 12}
  • id: 163124754
    {'aut_label': '4A', 'centralizer': '12.BI', 'counter': 46, 'group_counter': 364, 'group_order': 49152, 'label': '4B', 'order': 4, 'powers': [4, 46], 'representative': 1313988854527, 'size': 12}
  • id: 163124755
    {'aut_label': '4A', 'centralizer': '12.BI', 'counter': 47, 'group_counter': 364, 'group_order': 49152, 'label': '4C', 'order': 4, 'powers': [4, 47], 'representative': 256453431589560367, 'size': 12}
  • id: 163124756
    {'aut_label': '4A', 'centralizer': '12.BI', 'counter': 48, 'group_counter': 364, 'group_order': 49152, 'label': '4D', 'order': 4, 'powers': [4, 48], 'representative': 25903229683158511862527, 'size': 12}
  • id: 163124757
    {'aut_label': '4E1', 'centralizer': '16.K', 'counter': 49, 'group_counter': 364, 'group_order': 49152, 'label': '4E1', 'order': 4, 'powers': [2, 50], 'representative': 54003503619643022742982, 'size': 16}
  • id: 163124759
    {'aut_label': '4E1', 'centralizer': '16.K', 'counter': 50, 'group_counter': 364, 'group_order': 49152, 'label': '4E-1', 'order': 4, 'powers': [2, 49], 'representative': 79804308125641822300937, 'size': 16}
  • id: 163124760
    {'aut_label': '4F', 'centralizer': '24.FY', 'counter': 51, 'group_counter': 364, 'group_order': 49152, 'label': '4F', 'order': 4, 'powers': [4, 51], 'representative': 87465727, 'size': 24}
  • id: 163124761
    {'aut_label': '4F', 'centralizer': '24.FY', 'counter': 52, 'group_counter': 364, 'group_order': 49152, 'label': '4G', 'order': 4, 'powers': [4, 52], 'representative': 122000787924393720, 'size': 24}
  • id: 163124762
    {'aut_label': '4H', 'centralizer': '24.FY', 'counter': 53, 'group_counter': 364, 'group_order': 49152, 'label': '4H', 'order': 4, 'powers': [4, 53], 'representative': 122000787924393727, 'size': 24}
  • id: 163124763
    {'aut_label': '4H', 'centralizer': '24.FY', 'counter': 54, 'group_counter': 364, 'group_order': 49152, 'label': '4I', 'order': 4, 'powers': [4, 54], 'representative': 122002101825782520, 'size': 24}
  • id: 163124764
    {'aut_label': '4F', 'centralizer': '24.FY', 'counter': 55, 'group_counter': 364, 'group_order': 49152, 'label': '4J', 'order': 4, 'powers': [4, 55], 'representative': 122002101825782527, 'size': 24}
  • id: 163124765
    {'aut_label': '4F', 'centralizer': '24.FY', 'counter': 56, 'group_counter': 364, 'group_order': 49152, 'label': '4K', 'order': 4, 'powers': [4, 56], 'representative': 256453431629840047, 'size': 24}
  • id: 163124766
    {'aut_label': '4L', 'centralizer': '32.K', 'counter': 57, 'group_counter': 364, 'group_order': 49152, 'label': '4L', 'order': 4, 'powers': [2, 57], 'representative': 79804429416356250389057, 'size': 32}
  • id: 163124767
    {'aut_label': '4M', 'centralizer': None, 'counter': 58, 'group_counter': 364, 'group_order': 49152, 'label': '4M', 'order': 4, 'powers': [14, 58], 'representative': 2789705318537, 'size': 48}
  • id: 163124768
    {'aut_label': '4M', 'centralizer': None, 'counter': 59, 'group_counter': 364, 'group_order': 49152, 'label': '4N', 'order': 4, 'powers': [14, 59], 'representative': 2789745598217, 'size': 48}
  • id: 163124770
    {'aut_label': '4O', 'centralizer': None, 'counter': 60, 'group_counter': 364, 'group_order': 49152, 'label': '4O', 'order': 4, 'powers': [14, 60], 'representative': 355687515187217, 'size': 48}
  • id: 163124771
    {'aut_label': '4P', 'centralizer': None, 'counter': 61, 'group_counter': 364, 'group_order': 49152, 'label': '4P', 'order': 4, 'powers': [14, 61], 'representative': 355687515192377, 'size': 48}
  • id: 163124772
    {'aut_label': '4P', 'centralizer': None, 'counter': 62, 'group_counter': 364, 'group_order': 49152, 'label': '4Q', 'order': 4, 'powers': [14, 62], 'representative': 357001416576017, 'size': 48}
  • id: 163124773
    {'aut_label': '4O', 'centralizer': None, 'counter': 63, 'group_counter': 364, 'group_order': 49152, 'label': '4R', 'order': 4, 'powers': [14, 63], 'representative': 357001416581177, 'size': 48}
  • id: 163124774
    {'aut_label': '4M', 'centralizer': None, 'counter': 64, 'group_counter': 364, 'group_order': 49152, 'label': '4S', 'order': 4, 'powers': [14, 64], 'representative': 122003577542246537, 'size': 48}
  • id: 163124775
    {'aut_label': '4M', 'centralizer': None, 'counter': 65, 'group_counter': 364, 'group_order': 49152, 'label': '4T', 'order': 4, 'powers': [14, 65], 'representative': 122003577582526217, 'size': 48}
  • id: 163124776
    {'aut_label': '4M', 'centralizer': None, 'counter': 66, 'group_counter': 364, 'group_order': 49152, 'label': '4U', 'order': 4, 'powers': [14, 66], 'representative': 122003583769630096, 'size': 48}
  • id: 163124777
    {'aut_label': '4M', 'centralizer': None, 'counter': 67, 'group_counter': 364, 'group_order': 49152, 'label': '4V', 'order': 4, 'powers': [14, 67], 'representative': 122003583769635256, 'size': 48}
  • id: 163124778
    {'aut_label': '4P', 'centralizer': None, 'counter': 68, 'group_counter': 364, 'group_order': 49152, 'label': '4W', 'order': 4, 'powers': [14, 68], 'representative': 256094948316579241, 'size': 48}
  • id: 163124779
    {'aut_label': '4M', 'centralizer': None, 'counter': 69, 'group_counter': 364, 'group_order': 49152, 'label': '4X', 'order': 4, 'powers': [14, 69], 'representative': 256096262170800121, 'size': 48}
  • id: 163124781
    {'aut_label': '4O', 'centralizer': None, 'counter': 70, 'group_counter': 364, 'group_order': 49152, 'label': '4Y', 'order': 4, 'powers': [14, 70], 'representative': 256096262217968041, 'size': 48}
  • id: 163124782
    {'aut_label': '4O', 'centralizer': None, 'counter': 71, 'group_counter': 364, 'group_order': 49152, 'label': '4Z', 'order': 4, 'powers': [14, 71], 'representative': 256451949558972856, 'size': 48}
  • id: 163124783
    {'aut_label': '4P', 'centralizer': None, 'counter': 72, 'group_counter': 364, 'group_order': 49152, 'label': '4AA', 'order': 4, 'powers': [14, 72], 'representative': 51212945755518998407, 'size': 48}
  • id: 163124784
    {'aut_label': '4M', 'centralizer': None, 'counter': 73, 'group_counter': 364, 'group_order': 49152, 'label': '4AB', 'order': 4, 'powers': [14, 73], 'representative': 51347394121308336007, 'size': 48}
  • id: 163124785
    {'aut_label': '4AC', 'centralizer': None, 'counter': 74, 'group_counter': 364, 'group_order': 49152, 'label': '4AC', 'order': 4, 'powers': [7, 74], 'representative': 79804051672210272304582, 'size': 48}
  • id: 163124786
    {'aut_label': '4AD', 'centralizer': None, 'counter': 75, 'group_counter': 364, 'group_order': 49152, 'label': '4AD', 'order': 4, 'powers': [4, 75], 'representative': 25852273192316566569616, 'size': 48}
  • id: 163124787
    {'aut_label': '4AC', 'centralizer': None, 'counter': 76, 'group_counter': 364, 'group_order': 49152, 'label': '4AE', 'order': 4, 'powers': [7, 76], 'representative': 25903485423901383395767, 'size': 48}
  • id: 163124788
    {'aut_label': '4AD', 'centralizer': None, 'counter': 77, 'group_counter': 364, 'group_order': 49152, 'label': '4AF', 'order': 4, 'powers': [4, 77], 'representative': 79804173321414247915457, 'size': 48}
  • id: 163124789
    {'aut_label': '4AG', 'centralizer': None, 'counter': 78, 'group_counter': 364, 'group_order': 49152, 'label': '4AG', 'order': 4, 'powers': [15, 78], 'representative': 2789792784017, 'size': 96}
  • id: 163124790
    {'aut_label': '4AH', 'centralizer': None, 'counter': 79, 'group_counter': 364, 'group_order': 49152, 'label': '4AH', 'order': 4, 'powers': [5, 79], 'representative': 355687428470537, 'size': 96}
  • id: 163124792
    {'aut_label': '4AH', 'centralizer': None, 'counter': 80, 'group_counter': 364, 'group_order': 49152, 'label': '4AI', 'order': 4, 'powers': [5, 80], 'representative': 357001329859337, 'size': 96}
  • id: 163124793
    {'aut_label': '4AG', 'centralizer': '96.E', 'counter': 81, 'group_counter': 364, 'group_order': 49152, 'label': '4AJ', 'order': 4, 'powers': [15, 81], 'representative': 358483360446841, 'size': 96}
  • id: 163124794
    {'aut_label': '4AG', 'centralizer': None, 'counter': 82, 'group_counter': 364, 'group_order': 49152, 'label': '4AK', 'order': 4, 'powers': [15, 82], 'representative': 358483400726521, 'size': 96}
  • id: 163124795
    {'aut_label': '4AH', 'centralizer': None, 'counter': 83, 'group_counter': 364, 'group_order': 49152, 'label': '4AL', 'order': 4, 'powers': [5, 83], 'representative': 358483447894441, 'size': 96}
  • id: 163124796
    {'aut_label': '4AG', 'centralizer': None, 'counter': 84, 'group_counter': 364, 'group_order': 49152, 'label': '4AM', 'order': 4, 'powers': [15, 84], 'representative': 122003577629712017, 'size': 96}
  • id: 163124797
    {'aut_label': '4AG', 'centralizer': None, 'counter': 85, 'group_counter': 364, 'group_order': 49152, 'label': '4AN', 'order': 4, 'powers': [15, 85], 'representative': 122003583856370056, 'size': 96}
  • id: 163124798
    {'aut_label': '4AH', 'centralizer': None, 'counter': 86, 'group_counter': 364, 'group_order': 49152, 'label': '4AO', 'order': 4, 'powers': [6, 86], 'representative': 256097744248550417, 'size': 96}
  • id: 163124799
    {'aut_label': '4AH', 'centralizer': None, 'counter': 87, 'group_counter': 364, 'group_order': 49152, 'label': '4AP', 'order': 4, 'powers': [6, 87], 'representative': 256097744248555577, 'size': 96}
  • id: 163124800
    {'aut_label': '4AG', 'centralizer': None, 'counter': 88, 'group_counter': 364, 'group_order': 49152, 'label': '4AQ', 'order': 4, 'powers': [15, 88], 'representative': 256450641924516617, 'size': 96}
  • id: 163124801
    {'aut_label': '4AH', 'centralizer': None, 'counter': 89, 'group_counter': 364, 'group_order': 49152, 'label': '4AR', 'order': 4, 'powers': [6, 89], 'representative': 256451949645707656, 'size': 96}
  • id: 163124803
    {'aut_label': '4AS', 'centralizer': None, 'counter': 90, 'group_counter': 364, 'group_order': 49152, 'label': '4AS', 'order': 4, 'powers': [7, 90], 'representative': 256453431677020927, 'size': 96}
  • id: 163124804
    {'aut_label': '4AT', 'centralizer': None, 'counter': 91, 'group_counter': 364, 'group_order': 49152, 'label': '4AT', 'order': 4, 'powers': [4, 91], 'representative': 51091300648930320136, 'size': 96}
  • id: 163124805
    {'aut_label': '4AH', 'centralizer': None, 'counter': 92, 'group_counter': 364, 'group_order': 49152, 'label': '4AU', 'order': 4, 'powers': [5, 92], 'representative': 51212942965813680137, 'size': 96}
  • id: 163124806
    {'aut_label': '4AG', 'centralizer': None, 'counter': 93, 'group_counter': 364, 'group_order': 49152, 'label': '4AV', 'order': 4, 'powers': [15, 93], 'representative': 51212942965860848057, 'size': 96}
  • id: 163124807
    {'aut_label': '4AW', 'centralizer': None, 'counter': 94, 'group_counter': 364, 'group_order': 49152, 'label': '4AW', 'order': 4, 'powers': [4, 94], 'representative': 51347395603299369616, 'size': 96}
  • id: 163124808
    {'aut_label': '4AG', 'centralizer': None, 'counter': 95, 'group_counter': 364, 'group_order': 49152, 'label': '4AX', 'order': 4, 'powers': [15, 95], 'representative': 25903229684634315792017, 'size': 96}
  • id: 163124809
    {'aut_label': '4AH', 'centralizer': None, 'counter': 96, 'group_counter': 364, 'group_order': 49152, 'label': '4AY', 'order': 4, 'powers': [6, 96], 'representative': 25903363778800934635577, 'size': 96}
  • id: 163124810
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 97, 'group_counter': 364, 'group_order': 49152, 'label': '4AZ', 'order': 4, 'powers': [6, 97], 'representative': 51091301956644604817, 'size': 96}
  • id: 163124811
    {'aut_label': '4BA', 'centralizer': None, 'counter': 98, 'group_counter': 364, 'group_order': 49152, 'label': '4BA', 'order': 4, 'powers': [4, 98], 'representative': 54003381971752821496342, 'size': 96}
  • id: 163124812
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 99, 'group_counter': 364, 'group_order': 49152, 'label': '4BB', 'order': 4, 'powers': [5, 99], 'representative': 54003503619649162656143, 'size': 96}
  • id: 163124651
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 100, 'group_counter': 364, 'group_order': 49152, 'label': '4BC', 'order': 4, 'powers': [5, 100], 'representative': 79804429415048528467336, 'size': 96}
  • id: 163124652
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 101, 'group_counter': 364, 'group_order': 49152, 'label': '4BD', 'order': 4, 'powers': [6, 101], 'representative': 51212590068137719097, 'size': 96}
  • id: 163124653
    {'aut_label': '4BE1', 'centralizer': None, 'counter': 102, 'group_counter': 364, 'group_order': 49152, 'label': '4BE1', 'order': 4, 'powers': [3, 103], 'representative': 256450641971702417, 'size': 96}
  • id: 163124654
    {'aut_label': '4BE1', 'centralizer': None, 'counter': 103, 'group_counter': 364, 'group_order': 49152, 'label': '4BE-1', 'order': 4, 'powers': [3, 102], 'representative': 256450641971702422, 'size': 96}
  • id: 163124655
    {'aut_label': '4BE1', 'centralizer': None, 'counter': 104, 'group_counter': 364, 'group_order': 49152, 'label': '4BF1', 'order': 4, 'powers': [3, 105], 'representative': 51347395597159433657, 'size': 96}
  • id: 163124656
    {'aut_label': '4BE1', 'centralizer': None, 'counter': 105, 'group_counter': 364, 'group_order': 49152, 'label': '4BF-1', 'order': 4, 'powers': [3, 104], 'representative': 51347395597159433662, 'size': 96}
  • id: 163124657
    {'aut_label': '4BG', 'centralizer': None, 'counter': 106, 'group_counter': 364, 'group_order': 49152, 'label': '4BG', 'order': 4, 'powers': [14, 106], 'representative': 355693742571016, 'size': 192}
  • id: 163124658
    {'aut_label': '4BH', 'centralizer': None, 'counter': 107, 'group_counter': 364, 'group_order': 49152, 'label': '4BH', 'order': 4, 'powers': [14, 107], 'representative': 256097738021892616, 'size': 192}
  • id: 163124659
    {'aut_label': '4BI', 'centralizer': None, 'counter': 108, 'group_counter': 364, 'group_order': 49152, 'label': '4BI', 'order': 4, 'powers': [16, 108], 'representative': 256097744161833737, 'size': 192}
  • id: 163124660
    {'aut_label': '4BH', 'centralizer': None, 'counter': 109, 'group_counter': 364, 'group_order': 49152, 'label': '4BJ', 'order': 4, 'powers': [14, 109], 'representative': 256453425362897401, 'size': 192}
  • id: 163124662
    {'aut_label': '4BG', 'centralizer': None, 'counter': 110, 'group_counter': 364, 'group_order': 49152, 'label': '4BK', 'order': 4, 'powers': [14, 110], 'representative': 256453425449637121, 'size': 192}
  • id: 163124663
    {'aut_label': '4BH', 'centralizer': None, 'counter': 111, 'group_counter': 364, 'group_order': 49152, 'label': '4BL', 'order': 4, 'powers': [14, 111], 'representative': 51091297865451659647, 'size': 192}
  • id: 163124664
    {'aut_label': '4BM', 'centralizer': None, 'counter': 112, 'group_counter': 364, 'group_order': 49152, 'label': '4BM', 'order': 4, 'powers': [6, 112], 'representative': 51091300655070238217, 'size': 192}
  • id: 163124665
    {'aut_label': '4BG', 'centralizer': None, 'counter': 113, 'group_counter': 364, 'group_order': 49152, 'label': '4BN', 'order': 4, 'powers': [14, 113], 'representative': 51212945749252060921, 'size': 192}
  • id: 163124666
    {'aut_label': '4BO', 'centralizer': None, 'counter': 114, 'group_counter': 364, 'group_order': 49152, 'label': '4BO', 'order': 4, 'powers': [4, 114], 'representative': 51347037126253046536, 'size': 192}
  • id: 163124667
    {'aut_label': '4BO', 'centralizer': None, 'counter': 115, 'group_counter': 364, 'group_order': 49152, 'label': '4BP', 'order': 4, 'powers': [4, 115], 'representative': 51347037126253051456, 'size': 192}
  • id: 163124668
    {'aut_label': '4BH', 'centralizer': None, 'counter': 116, 'group_counter': 364, 'group_order': 49152, 'label': '4BQ', 'order': 4, 'powers': [14, 116], 'representative': 51347038433927051537, 'size': 192}
  • id: 163124669
    {'aut_label': '4BG', 'centralizer': None, 'counter': 117, 'group_counter': 364, 'group_order': 49152, 'label': '4BR', 'order': 4, 'powers': [14, 117], 'representative': 51347039909730981247, 'size': 192}
  • id: 163124670
    {'aut_label': '4BI', 'centralizer': None, 'counter': 118, 'group_counter': 364, 'group_order': 49152, 'label': '4BS', 'order': 4, 'powers': [16, 118], 'representative': 51347395597112265737, 'size': 192}
  • id: 163124671
    {'aut_label': '4BM', 'centralizer': None, 'counter': 119, 'group_counter': 364, 'group_order': 49152, 'label': '4BT', 'order': 4, 'powers': [5, 119], 'representative': 53952291031063190181257, 'size': 192}
  • id: 163124673
    {'aut_label': '4BU', 'centralizer': None, 'counter': 120, 'group_counter': 364, 'group_order': 49152, 'label': '4BU', 'order': 4, 'powers': [6, 120], 'representative': 108118165262978642711639, 'size': 192}
  • id: 163124674
    {'aut_label': '4BV', 'centralizer': None, 'counter': 121, 'group_counter': 364, 'group_order': 49152, 'label': '4BV', 'order': 4, 'powers': [4, 121], 'representative': 108118165262978642716792, 'size': 192}
  • id: 163124675
    {'aut_label': '4BW', 'centralizer': None, 'counter': 122, 'group_counter': 364, 'group_order': 49152, 'label': '4BW', 'order': 4, 'powers': [8, 122], 'representative': 108118165262978642716799, 'size': 192}
  • id: 163124676
    {'aut_label': '4BV', 'centralizer': None, 'counter': 123, 'group_counter': 364, 'group_order': 49152, 'label': '4BX', 'order': 4, 'powers': [4, 123], 'representative': 108118165262978730177352, 'size': 192}
  • id: 163124677
    {'aut_label': '4BW', 'centralizer': None, 'counter': 124, 'group_counter': 364, 'group_order': 49152, 'label': '4BY', 'order': 4, 'powers': [8, 124], 'representative': 108118165262978730177359, 'size': 192}
  • id: 163124678
    {'aut_label': '4BU', 'centralizer': None, 'counter': 125, 'group_counter': 364, 'group_order': 49152, 'label': '4BZ', 'order': 4, 'powers': [6, 125], 'representative': 108118165262978730182279, 'size': 192}
  • id: 163124679
    {'aut_label': '4BU', 'centralizer': None, 'counter': 126, 'group_counter': 364, 'group_order': 49152, 'label': '4CA', 'order': 4, 'powers': [5, 126], 'representative': 108118287263766479639632, 'size': 192}
  • id: 163124680
    {'aut_label': '4CB', 'centralizer': None, 'counter': 127, 'group_counter': 364, 'group_order': 49152, 'label': '4CB', 'order': 4, 'powers': [7, 127], 'representative': 108118287263766479639639, 'size': 192}
  • id: 163124681
    {'aut_label': '4BW', 'centralizer': None, 'counter': 128, 'group_counter': 364, 'group_order': 49152, 'label': '4CC', 'order': 4, 'powers': [9, 128], 'representative': 108118287263766479644792, 'size': 192}
  • id: 163124682
    {'aut_label': '4CD', 'centralizer': None, 'counter': 129, 'group_counter': 364, 'group_order': 49152, 'label': '4CD', 'order': 4, 'powers': [2, 129], 'representative': 108118287263766479644799, 'size': 192}
  • id: 163124684
    {'aut_label': '4BW', 'centralizer': None, 'counter': 130, 'group_counter': 364, 'group_order': 49152, 'label': '4CE', 'order': 4, 'powers': [9, 130], 'representative': 108118287263766567105352, 'size': 192}
  • id: 163124685
    {'aut_label': '4CD', 'centralizer': None, 'counter': 131, 'group_counter': 364, 'group_order': 49152, 'label': '4CF', 'order': 4, 'powers': [2, 131], 'representative': 108118287263766567105359, 'size': 192}
  • id: 163124686
    {'aut_label': '4BU', 'centralizer': None, 'counter': 132, 'group_counter': 364, 'group_order': 49152, 'label': '4CG', 'order': 4, 'powers': [5, 132], 'representative': 108118287263766567110272, 'size': 192}
  • id: 163124687
    {'aut_label': '4CB', 'centralizer': None, 'counter': 133, 'group_counter': 364, 'group_order': 49152, 'label': '4CH', 'order': 4, 'powers': [7, 133], 'representative': 108118287263766567110279, 'size': 192}
  • id: 163124688
    {'aut_label': '4CI', 'centralizer': None, 'counter': 134, 'group_counter': 364, 'group_order': 49152, 'label': '4CI', 'order': 4, 'powers': [29, 134], 'representative': 378307679710913584163257, 'size': 768}
  • id: 163124689
    {'aut_label': '4CI', 'centralizer': None, 'counter': 135, 'group_counter': 364, 'group_order': 49152, 'label': '4CJ', 'order': 4, 'powers': [30, 135], 'representative': 378359026745243817767737, 'size': 768}
  • id: 163124690
    {'aut_label': '4CI', 'centralizer': None, 'counter': 136, 'group_counter': 364, 'group_order': 49152, 'label': '4CK', 'order': 4, 'powers': [31, 136], 'representative': 162121547590418892655439, 'size': 768}
  • id: 163124691
    {'aut_label': '4CI', 'centralizer': None, 'counter': 137, 'group_counter': 364, 'group_order': 49152, 'label': '4CL', 'order': 4, 'powers': [32, 137], 'representative': 540592881377495005002817, 'size': 768}
  • id: 163124692
    {'aut_label': '4CI', 'centralizer': None, 'counter': 138, 'group_counter': 364, 'group_order': 49152, 'label': '4CM', 'order': 4, 'powers': [32, 138], 'representative': 187922473385830712513159, 'size': 768}
  • id: 163124693
    {'aut_label': '4CI', 'centralizer': None, 'counter': 139, 'group_counter': 364, 'group_order': 49152, 'label': '4CN', 'order': 4, 'powers': [31, 139], 'representative': 404159952544753057223753, 'size': 768}
  • id: 163124695
    {'aut_label': '4CI', 'centralizer': None, 'counter': 140, 'group_counter': 364, 'group_order': 49152, 'label': '4CO', 'order': 4, 'powers': [30, 140], 'representative': 134021651036981729812423, 'size': 768}
  • id: 163124696
    {'aut_label': '4CI', 'centralizer': None, 'counter': 141, 'group_counter': 364, 'group_order': 49152, 'label': '4CP', 'order': 4, 'powers': [29, 141], 'representative': 620397310432584329562937, 'size': 768}
  • id: 163124697
    {'aut_label': '6A', 'centralizer': None, 'counter': 142, 'group_counter': 364, 'group_order': 49152, 'label': '6A', 'order': 6, 'powers': [44, 2], 'representative': 458378201538417531950662, 'size': 2048}
  • id: 163124698
    {'aut_label': '6B1', 'centralizer': None, 'counter': 143, 'group_counter': 364, 'group_order': 49152, 'label': '6B1', 'order': 6, 'powers': [44, 3], 'representative': 458326988595458072668806, 'size': 2048}
  • id: 163124699
    {'aut_label': '6B1', 'centralizer': None, 'counter': 144, 'group_counter': 364, 'group_order': 49152, 'label': '6B-1', 'order': 6, 'powers': [44, 3], 'representative': 296041787305675773067456, 'size': 2048}
  • id: 163124700
    {'aut_label': '8A', 'centralizer': None, 'counter': 145, 'group_counter': 364, 'group_order': 49152, 'label': '8A', 'order': 8, 'powers': [74, 145], 'representative': 404159575156294340315376, 'size': 768}
  • id: 163124701
    {'aut_label': '8B', 'centralizer': None, 'counter': 146, 'group_counter': 364, 'group_order': 49152, 'label': '8B', 'order': 8, 'powers': [98, 146], 'representative': 566445275853638867107199, 'size': 768}
  • id: 163124702
    {'aut_label': '8A', 'centralizer': None, 'counter': 147, 'group_counter': 364, 'group_order': 49152, 'label': '8C', 'order': 8, 'powers': [74, 147], 'representative': 350258886907185287428438, 'size': 768}
  • id: 163124703
    {'aut_label': '8D', 'centralizer': None, 'counter': 148, 'group_counter': 364, 'group_order': 49152, 'label': '8D', 'order': 8, 'powers': [98, 148], 'representative': 133970304003965444764656, 'size': 768}
  • id: 163124704
    {'aut_label': '8E', 'centralizer': None, 'counter': 149, 'group_counter': 364, 'group_order': 49152, 'label': '8E', 'order': 8, 'powers': [75, 149], 'representative': 378307814512351453212112, 'size': 768}
  • id: 163124706
    {'aut_label': '8B', 'centralizer': None, 'counter': 150, 'group_counter': 364, 'group_order': 49152, 'label': '8F', 'order': 8, 'powers': [98, 150], 'representative': 108118286905289346599632, 'size': 768}
  • id: 163124707
    {'aut_label': '8A', 'centralizer': None, 'counter': 151, 'group_counter': 364, 'group_order': 49152, 'label': '8G', 'order': 8, 'powers': [76, 151], 'representative': 594596263347940065033593, 'size': 768}
  • id: 163124708
    {'aut_label': '8E', 'centralizer': None, 'counter': 152, 'group_counter': 364, 'group_order': 49152, 'label': '8H', 'order': 8, 'powers': [77, 152], 'representative': 566445019759998359887432, 'size': 768}
  • id: 163124709
    {'aut_label': '8D', 'centralizer': None, 'counter': 153, 'group_counter': 364, 'group_order': 49152, 'label': '8I', 'order': 8, 'powers': [98, 153], 'representative': 404159696804184494366136, 'size': 768}
  • id: 163124710
    {'aut_label': '8E', 'centralizer': None, 'counter': 154, 'group_counter': 364, 'group_order': 49152, 'label': '8J', 'order': 8, 'powers': [75, 154], 'representative': 162070322198399410101719, 'size': 768}
  • id: 163124711
    {'aut_label': '8A', 'centralizer': None, 'counter': 155, 'group_counter': 364, 'group_order': 49152, 'label': '8K', 'order': 8, 'powers': [76, 155], 'representative': 594545172404292599201279, 'size': 768}
  • id: 163124712
    {'aut_label': '8E', 'centralizer': None, 'counter': 156, 'group_counter': 364, 'group_order': 49152, 'label': '8L', 'order': 8, 'powers': [77, 156], 'representative': 108169633942409284801777, 'size': 768}
  • id: 163124713
    {'aut_label': '8M', 'centralizer': None, 'counter': 157, 'group_counter': 364, 'group_order': 49152, 'label': '8M', 'order': 8, 'powers': [97, 157], 'representative': 134021394589135777552057, 'size': 1536}
  • id: 163124714
    {'aut_label': '8M', 'centralizer': None, 'counter': 158, 'group_counter': 364, 'group_order': 49152, 'label': '8N', 'order': 8, 'powers': [99, 158], 'representative': 108169512298622864444872, 'size': 1536}
  • id: 163124715
    {'aut_label': '8M', 'centralizer': None, 'counter': 159, 'group_counter': 364, 'group_order': 49152, 'label': '8O', 'order': 8, 'powers': [100, 159], 'representative': 108118543003027408051056, 'size': 1536}
  • id: 163124717
    {'aut_label': '8M', 'centralizer': None, 'counter': 160, 'group_counter': 364, 'group_order': 49152, 'label': '8P', 'order': 8, 'powers': [101, 160], 'representative': 162121547230634132052353, 'size': 1536}
  • id: 163124718
    {'aut_label': '12A1', 'centralizer': None, 'counter': 161, 'group_counter': 364, 'group_order': 49152, 'label': '12A1', 'order': 12, 'powers': [142, 57], 'representative': 242140721666632200086526, 'size': 2048}
  • id: 163124719
    {'aut_label': '12A1', 'centralizer': None, 'counter': 162, 'group_counter': 364, 'group_order': 49152, 'label': '12A5', 'order': 12, 'powers': [142, 57], 'representative': 486477841990013280656040, 'size': 2048}
  • id: 163124720
    {'aut_label': '12B1', 'centralizer': None, 'counter': 163, 'group_counter': 364, 'group_order': 49152, 'label': '12B1', 'order': 12, 'powers': [142, 49], 'representative': 216288826574161533672367, 'size': 2048}
  • id: 163124721
    {'aut_label': '12B1', 'centralizer': None, 'counter': 164, 'group_counter': 364, 'group_order': 49152, 'label': '12B-1', 'order': 12, 'powers': [142, 50], 'representative': 512329980374004853232047, 'size': 2048}
• group 49152.nz does not appear in gps_qchar
• group 49152.nz does not appear in gps_char
• 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: 218110373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 49152, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '49152.nz.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'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '49152.nz', 'subgroup_hash': 1410416440151032101, 'subgroup_order': 49152, 'subgroup_tex': 'C_2^8.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24576, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.2.A', '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'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6391412274801050291, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^8.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 24576, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.2.B', '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.kz', 'subgroup_hash': 8560416363020869009, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^4.Q_8^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '49152.nz.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.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': 3, 'quotient_simple': 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': 6462457283812841760, 'subgroup_order': 16384, 'subgroup_tex': 'C_2^7.C_2^6.C_2', 'supersolvable': True, 'sylow': 2}
  • id: 218110817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12288, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.4.A', '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': ['D', 'L1', 'D1', 'C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7984133506823314729, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^8.C_2^4.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 218110928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.4.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.hn', 'subgroup_hash': 1957977372129148864, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^8.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.4.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.ra', 'subgroup_hash': 8401435528346029007, 'subgroup_order': 12288, 'subgroup_tex': '(C_2^3\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.4.D', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.hz', 'subgroup_hash': 1250664056394531290, 'subgroup_order': 12288, 'subgroup_tex': '(C_2^3\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.4.E', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.qy', 'subgroup_hash': 5972186062927185429, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^2.C_4^4:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.4.F', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.hr', 'subgroup_hash': 5898919949960281490, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3.C_2\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2432473484318278269, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 5903751217143780742, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 1080548083709137150, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 3251894143016867466, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 7916488560923337714, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 1139751400673437572, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 8671922517359874146, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 474860298233518209, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 3382026613682466634, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 5064451529576173940, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 2485229726170834484, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^5.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 8502075125202844851, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 6070462217486744565, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 8876648169486882778, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 3910365124714430980, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 2638234339059279214, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': 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': 95050604774413174, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.bhq', 'subgroup_hash': 3766120549784584991, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^8.(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218110584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.bhh', 'subgroup_hash': 5269399483397612241, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times C_4^3).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': None, 'subgroup_hash': 3267537034715230880, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.bgk', 'subgroup_hash': 545430342615655296, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times C_4^3).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.bgl', 'subgroup_hash': 8787561180682618833, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': None, 'subgroup_hash': 6826707157288815181, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.bgn', 'subgroup_hash': 2214742545026080396, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': None, 'subgroup_hash': 4977912219647340306, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': None, 'subgroup_hash': 7563436901655678123, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_2^6.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 218110673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.J', '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': '6144.fu', 'subgroup_hash': 1208230466505151117, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^8.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.K', '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': '6144.gj', 'subgroup_hash': 5765569903959726992, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^8.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.L', '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': None, 'subgroup_hash': 3290894840715758793, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^8.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.md', 'subgroup_hash': 4595176720636474017, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times C_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.mb', 'subgroup_hash': 1937834439661922668, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^4.C_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': None, 'subgroup_hash': 9113373871855434266, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.C_2^4.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 218110740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.oe', 'subgroup_hash': 1871180273495129714, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 218110751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.vi', 'subgroup_hash': 8575512813263981158, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.oi', 'subgroup_hash': 1767212365855490614, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^7.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218110773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': None, 'subgroup_hash': 9085839569552189387, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.vk', 'subgroup_hash': 4616416401180854681, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.8.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '6144.vj', 'subgroup_hash': 7484554858166262847, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8081405159303888432, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 19475125248609145, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^2.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 690170866974078281, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4947246969882721905, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5859485526341215368, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3586328296541334325, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7605424867611924869, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6604323932057372916, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6284867126466198747, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 8012088354133258145, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2261864473195546204, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3709339493170214845, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7698927990020132090, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 802944614590508861, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5322100182280087346, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2327615055776857035, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6522731097422686447, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7245099447372397693, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7505386936129208931, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5697476404587420901, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6656591828775670359, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 533681623800657065, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4582798464720048401, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6863112435778854222, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2949493417686431460, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6333385546973928470, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4214930700388598313, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2603879499515512757, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4950378293888270536, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5223291039413035327, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2358322891584933383, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5618308123139655711, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2915418234171804460, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2200189350266578272, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2322266444288814904, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4600587194299579493, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 141327156785062815, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 14319971656926668, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5028748853661115052, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3135739250891630305, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4160528010182264216, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 1660056638584467602, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5016719558258487927, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 76116693376971326, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 8684650608595146182, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 926531260620609359, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 9124612529964069590, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2252798500141017678, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4398185837904592980, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4160528010182264216, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 9191836480511628571, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 76116693376971326, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7972725504447377012, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6862090211834616688, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3444813565091562310, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 8617839551748664979, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2149416997967119831, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3165343043393274743, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2576578125298620888, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4043312892101292961, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 17757965590647693, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 36641525291241332, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 8762804596667654748, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 1843273140875244896, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 127991490771015314, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3998516319558900027, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3443074764612767416, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5386931881895536238, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6482997260337895076, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4547068167416261117, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 2365770613416672142, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5206509312705446440, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 76116693376971326, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5425137621120634994, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 866804960495101101, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5398271443443222914, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4170788084887895602, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3398145517084325699, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 1194087377030710200, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3341857678168433440, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4160528010182264216, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3967032645840856190, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 380720092318051540, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7443850329818498800, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5863279833270626575, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7349354321958654100, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5339686716072705120, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 678742259345142589, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4595975214645138215, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4834900126229557805, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5186485629823373211, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 76116693376971326, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6862090211834616688, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5954460377057488811, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 8660294263330954402, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7083610322951100288, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 7554165011058619159, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 8868950575715751956, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 6302301790844825620, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5315571340425086081, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 8149785870913491873, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4160528010182264216, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 9191836480511628571, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 1351667328466451052, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 3728717336069331648, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 4081824952484661844, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': 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': 5787458141505096997, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': 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': 6391774141232310608, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': 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': 610765199507397976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': 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': 1394142703635126894, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': 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': 3326060181339789297, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.gt', 'subgroup_hash': 2360828854023132919, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^5\\times C_4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.gt', 'subgroup_hash': 2360828854023132919, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^5\\times C_4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.gt', 'subgroup_hash': 2360828854023132919, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^5\\times C_4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.bdj', 'subgroup_hash': 5542134049074504132, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.ey', 'subgroup_hash': 1036727074959880291, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^8.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.bdn', 'subgroup_hash': 4279760805959320285, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^8.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.bdh', 'subgroup_hash': 7596546798014163774, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^8.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.bdo', 'subgroup_hash': 8803740968369578122, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.bdn', 'subgroup_hash': 4279760805959320285, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^8.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.bdj', 'subgroup_hash': 5542134049074504132, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '3072.gs', 'subgroup_hash': 3248534059435508270, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 4532407729678171379, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^5.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 218110454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 2291704639058897638, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^6.C_2^4.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 218110455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 8042235402235546268, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^6.C_2^4.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 218110456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 4431354355258017497, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^6.C_2^4.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 218110457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.xg', 'subgroup_hash': 9158003450834906144, 'subgroup_order': 3072, 'subgroup_tex': '(C_2\\times C_4^3).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.bgj', 'subgroup_hash': 558293535211471172, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^7.(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218110459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.bgk', 'subgroup_hash': 5488133715645630208, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^2\\times C_4^3):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.bgj', 'subgroup_hash': 558293535211471172, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^7.(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218110461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.bgk', 'subgroup_hash': 5488133715645630208, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^2\\times C_4^3):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.kk', 'subgroup_hash': 2584602101423317826, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^7.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.ki', 'subgroup_hash': 5985589702206839312, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^7.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.qm', 'subgroup_hash': 2905130276584827672, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^3\\times C_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.16.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '3072.qn', 'subgroup_hash': 3301507359170219439, 'subgroup_order': 3072, 'subgroup_tex': '(C_2^3\\times C_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218110467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6553779557240508035, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 738532650314178519, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 142085308646579589, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 80313701426216681, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4077183816501622709, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8550805880484227454, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8496590160847735930, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 4908548192966591219, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2757208059686512268, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2600194377969412103, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5902464711509091573, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3410865474407012442, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6358924512451627457, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6026522515963954209, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6063619158802237120, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2383572108133406350, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 805778740746212398, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5525274773149436631, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7243230221549474428, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3478997566624702533, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2103914074763139048, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7930040203329621055, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5970181814574884043, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 695908551903804981, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.yB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5256922601752735097, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.yC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8310449941758886853, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6772851278563488549, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2048233448429539743, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 4514171148106465287, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6719750832848087203, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8822990079750807107, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 697869432631205710, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1937605006444024468, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1783398720441329756, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1419002919885740470, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7471491525311089646, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8006566025524980824, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bkB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1660227069475299832, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bkC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6872740167732508481, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8105811633045693936, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3736440796475734815, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 4309223665734156883, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 431629292627669926, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2334536466910185041, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7510424593217196887, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8870787909986392579, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bsB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6489998159436822386, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bsC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 99658667962627472, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3099875203755621840, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 9053634780320404292, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7742040279816552151, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 4270888417531775958, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6543943351572646808, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.byB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1113213000280365471, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.byC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6528227204721942784, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5732658901139866393, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5596537003108766462, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3110732036506454457, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7800106439216710917, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3646633331119796229, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8966605978392119496, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1643268134538885834, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1050666563053970173, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5070285251759304732, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8229361476408989504, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3282145794254573067, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8902804264343579448, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3196245591279215110, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 722669417145213659, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2440259811956387791, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7368189827813193465, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 150416195898421789, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2252452893536612616, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.crB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8072804340075598589, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.crC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7269567940660085503, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1699880879296899783, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6050585378569791903, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7684629159673609967, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 4251511386709510312, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2973250459403812776, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2233206954894193119, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2266317882194942590, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8509507758892066060, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 486498882560059323, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2337654907174202436, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6944068749475019795, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5522242276017055198, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1581045073351095212, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 4657256981795417130, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8598503374413252450, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7212540386379770452, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 9200558991278597344, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2323508590544704852, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2754126784233483979, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6004307906641826850, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 653712838223095594, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2711170550902278039, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 5268125607173137181, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1563800001671984396, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8590557287541577387, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 7212540386379770452, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 1729085380423958967, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 4252842043408698186, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 863481863370227285, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 563483813127720923, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8655290116136882842, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 891614870950100535, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 3313540722240603488, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8209115039076923711, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 6363906745608031035, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 2587977195389219091, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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': 8804410643078082000, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5892058892789063520, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2831280328442562824, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3628676168192129810, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2035062957773100687, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4175726895869129736, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1465137682070087188, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4433366765004032552, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1826771048812642483, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8814412267681644797, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4613283382758036454, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 799612445507297034, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7273146728009549028, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 783148850432250428, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5525274773149436631, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2103914074763139048, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5653723505711264822, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2750881131109019776, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 393988460341306304, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.evB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6733033628588447308, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.evC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8068140293462000936, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 546837049004894457, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6543943351572646808, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5596537003108766462, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2267276406285804382, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 836346432446716709, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6130954992022158619, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1341211342686700491, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1612544332724397702, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5425612956436862656, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7212540386379770452, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2073938193140427645, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4133495539004798000, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1563800001671984396, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3597617289308824111, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 969748024795223338, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3004560255066813320, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3369690830119824902, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7212540386379770452, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 463757827830270480, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4366129646467660948, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7370451066428613936, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2392722060613090296, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1022148288315385121, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ft1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1321901344931020844, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7306303441228004722, 'subgroup_order': 2048, 'subgroup_tex': '(C_2^5\\times C_4).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1306783611041100675, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3120789707174892422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1374782194215772488, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3663292832233244878, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.fz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3895329275480109446, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ga1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6612685009602324813, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 571070835191929298, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4902479351476226028, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1450123685601764293, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ge1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7212540386379770452, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4844522196406515731, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1647709228926526820, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4923744510225605832, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8324992441349582511, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4107835098550288857, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5794953518706988997, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8674735617889888329, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3941220082752182152, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8623255834758556550, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.go1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3894739584969447826, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 920422229993605569, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6997854728667331682, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3144960577416973226, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5443450896859765045, 'subgroup_order': 2048, 'subgroup_tex': '(C_2^5\\times C_4).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8553055299684683328, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5008074156269588727, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 618986875936906917, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4893746128998350492, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4176711076021089880, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 9127150490969974537, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.gz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3040303634243850293, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ha1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 788097592220032722, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4310701423326397142, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4039747546564570645, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7549559867399073534, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.he1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5681916504221481625, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2017058627840730574, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hgB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5197073514633070241, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hgC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3999988468087396460, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1942618635508725785, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1697036639898803860, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6891157642418183587, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7463388735617161588, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 347370165160560846, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1341211342686700491, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 944171455002097120, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ho1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1877590473245766246, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7834098901666217866, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4282060145861047266, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1819154238648214775, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 419560790648337629, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ht1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1596565793497774008, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 633715507944169294, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4802492097907970985, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 63151296341981972, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7311837276303452890, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1409674145589377831, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.hz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3193855937569844594, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ia1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6230043797657130471, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ib1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8849310992314183697, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ic1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4097212583260863544, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.id1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5535117657512431246, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ie1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 20700732346354202, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.if1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4036002991250290350, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ig1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3224947960106544304, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ih1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4282060145861047266, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ii1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5035199776437997682, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ij1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7250997892055092178, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ik1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1298509468098669175, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.il1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8697243038313159186, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.im1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 784702981422058204, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.in1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8560745002247359080, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.io1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8636158534577564194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ip1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7311837276303452890, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1409674145589377831, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ir1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 249408698651788138, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.is1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 506263607886928722, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.it1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3193855937569844594, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8562694643234171941, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5861162218362853283, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4340449252956409264, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ix1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4340449252956409264, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6601949063032105709, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.iz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8310449941758886853, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ja1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6543943351572646808, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7982530078639142585, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5596537003108766462, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3074904344832464268, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.je1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2455812903557926701, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4844522196406515731, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5902041556729128001, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4923744510225605832, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ji1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1402093872577716913, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1622778521686729078, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6811579201509761495, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jlB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4939243666783880294, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jlC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4101951319317380360, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 969807914411847673, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8154816320172290142, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6862999687506787747, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3068528948040229599, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3678361402815216814, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 590605560529036941, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.js1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1365400901785075516, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2992148054106923564, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ju1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7872587140876698989, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7343335711638400041, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4159620285577427787, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4909617824194520172, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1584584813037866589, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.jz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3358694110558771960, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ka1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1330516986927736331, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5935144812633494078, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7104120443260155840, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4476266190745997470, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ke1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4536572736479532650, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8414252598996765521, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8873262590895610474, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 155787192454550235, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ki1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 9164148718030546559, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7605535577543174958, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 603010036100809226, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2557117948226205448, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.km1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8665162608445123996, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1585075756813478360, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ko1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2773891967709603988, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4959714190970823714, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5435830373315778993, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4135284881611517922, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ks1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2658040531146809124, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ktB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5845925480113142305, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ktC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3253879071709036668, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ku1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7259340597685256655, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 748536772729910579, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7029393096351082895, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1483497756921224027, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ky1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3763291042981473073, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.kz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5210533892429475106, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.la1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4883425648004809428, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8430276307553285141, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2535058516683305727, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ld1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2038710900382230446, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.le1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 797041075778173892, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5219996744161728017, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3462436878619348181, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3505476365594846124, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.li1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 384108577890919739, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3304135856724540011, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2012149291425000401, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ll1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2970782617268868832, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7353516603193092923, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ln1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1420480552234770764, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8409330101529552039, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6714237316856413139, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8603735895120194370, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8028790702546950489, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ls1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7187415935453661636, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1965065363005186991, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5822098423884487426, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2533569529671720520, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7792497504183909236, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 9159263479994235579, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ly1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 368434301850423945, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.lz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 638697546007085394, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ma1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3836872633220651844, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7655548498522852158, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6165223085652495788, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.md1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5672297563770892614, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.me1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1494552628710846306, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7311837276303452890, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7899999537532675438, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 328527050176191343, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1198487669477262443, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5581621175242507690, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2533569529671720520, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ml1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5892899073508024329, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 9159263479994235579, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4806277462269717285, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 353961716744709056, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7239830578180500563, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7922517554470567982, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5084698799663356091, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ms1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4579974733583520742, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3019888220566668316, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8560745002247359080, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8636158534577564194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3558552130367745218, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7529683558935651878, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.my1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3793715044803887524, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.mz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4371101673457463541, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.na1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7066621682812048207, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 380172260259793827, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1409674145589377831, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8630848716853950035, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ne1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5091116767151874596, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 506263607886928722, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ng1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 506263607886928722, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3193855937569844594, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ni1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1745031391468582422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2602970160941418095, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2473847533624578189, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 328527050176191343, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1409674145589377831, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6776526549995421629, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.no1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6112721385748923268, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.np1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6195694744469184703, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6871300996833082839, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8773992790805827346, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ns1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1198487669477262443, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3193855937569844594, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 752104552440736896, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 533107979348417514, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4282060145861047266, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7553649958518268498, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ny1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 100911526532236979, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.nz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3873885145786644990, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7787913826206982873, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ob1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6713313632429893083, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7634566671820103003, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.od1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4060397242493557658, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4045794908620679881, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.of1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2046404226974730176, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.og1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2523694418532796003, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 136764039640489865, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7743866511200461821, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ojB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5282430824161395156, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ojC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2458073953713328329, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ok1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7376563502549149575, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ol1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1601085943176871224, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.om1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5427518049763891228, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.on1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1873874693609714857, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 685344743107239060, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.op1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 409961561135439885, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8654977956563991479, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.or1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5581621175242507690, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.os1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2533569529671720520, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ot1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 9159263479994235579, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ou1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4336761623506253056, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218110905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ov1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5956389256196055913, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ow1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2367775299658882193, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ox1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5672297563770892614, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7899999537532675438, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.oz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3102895586931762283, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7368189827813193465, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2533569529671720520, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3819534930805306052, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8780699445847222752, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6623345373950072972, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 281212563450523761, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6353377186249830524, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ph1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4721295209060935904, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6970059613955016228, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8115770377989262666, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6209255692876662709, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8167023459738729645, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7311837276303452890, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6838757259891553850, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.po1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 328527050176191343, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 844605918213802998, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1198487669477262443, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1198487669477262443, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ps1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7032878564716809779, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2947557785436594915, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8562694643234171941, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2050366565392614884, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2050366565392614884, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.px1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2050366565392614884, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.py1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2533569529671720520, 'subgroup_order': 2048, 'subgroup_tex': '(C_2^5\\times C_4).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.pz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 720470843059327712, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8780699445847222752, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8551121853303733364, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4205080272800464923, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6002749301312629270, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4579974733583520742, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8636158534577564194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8560745002247359080, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8636158534577564194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2397622065288189058, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8054958487135534891, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4455873545631688315, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ql1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8653287809199483375, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3629823178715853351, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 489973991226652084, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5023971433019539330, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4455873545631688315, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3294124740284874303, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4455873545631688315, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 218110960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3629823178715853351, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6838757259891553850, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 328527050176191343, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1409674145589377831, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6776526549995421629, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5909958489117913877, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8834945331542741499, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.qz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4363144620425551422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ra1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 844605918213802998, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1198487669477262443, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1198487669477262443, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 617689324435295950, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.re1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3506178754743397830, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8871678046454192364, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 506263607886928722, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3193855937569844594, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ri1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2139371676427790291, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 752104552440736896, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8400298321815983709, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4282060145861047266, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4914981076965763941, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4914981076965763941, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ro1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4226886857057699957, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218110986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3828551351727329414, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 100911526532236979, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2251532802463082539, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218110989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1245715620389390233, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218110990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4376012205768081044, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218110991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ru1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5746136320023082741, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3873885145786644990, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6981050493086113235, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4981406572401476900, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ry1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4981406572401476900, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.rz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5746136320023082741, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5746136320023082741, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218110999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3873885145786644990, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1745031391468582422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1745031391468582422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.se1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2381360042400492918, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8240326563678886471, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6505330007176104109, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2691439372877986486, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.si1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3964683896260965449, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7032878564716809779, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4016839998945340956, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2572329102949294009, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4720380268660313232, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8711440342444291931, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.so1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5232276166114326596, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8164848356864391791, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 870765581708609918, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 870765581708609918, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ss1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6312607096940326078, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.st1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7316231354849498039, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.su1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4340449252956409264, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1119017856373287910, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4340449252956409264, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1119017856373287910, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4340449252956409264, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.sz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2050366565392614884, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ta1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2050366565392614884, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2186726240903672999, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5035199776437997682, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.td1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5202813500444022090, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.te1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5202813500444022090, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5202813500444022090, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1266158579579350040, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.th1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1280966223949594429, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ti1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 715493599539796707, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8001126368561625661, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4997828620142158535, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5242970132237194161, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1803127235290243866, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2311479022560540861, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.to1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7189057130023846989, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3133883512155141716, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2810548586690831355, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6549332927208539772, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ts1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8801194001313605636, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 862790816604110340, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5095761562947178794, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 7492457042211732771, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4877295017329959761, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2648089388453407874, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ty1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 4077374757711168975, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.tz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6694569413691461882, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ua1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2427470233189741703, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ub1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3169649541145912984, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 5321512458308323253, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ud1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8798975223208276174, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ue1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 517915818478258125, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 910787492109040276, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ug1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6182815332093023079, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 651002412910531670, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.US', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ui1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3133883512155141716, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2959103394794310255, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1125830067772070962, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ul1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8172955817819566601, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.um1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2691685877028477022, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.un1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2810548586690831355, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6549332927208539772, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^3.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.UZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.up1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6182815332093023079, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 651002412910531670, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ur1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 3133883512155141716, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.us1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2959103394794310255, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ut1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 1125830067772070962, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 8172955817819566601, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2691685877028477022, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 2810548586690831355, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ux1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 6549332927208539772, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.24.VI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.uy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': 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': 9061587080804554237, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408536154', 'subgroup_hash': 6520494943433164854, 'subgroup_order': 1536, 'subgroup_tex': '(C_2^5\\times C_4).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408536154', 'subgroup_hash': 6520494943433164854, 'subgroup_order': 1536, 'subgroup_tex': '(C_2^5\\times C_4).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408536154', 'subgroup_hash': 6520494943433164854, 'subgroup_order': 1536, 'subgroup_tex': '(C_2^5\\times C_4).A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, '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': '1536.408641058', 'subgroup_hash': 2019995040304548354, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^4:\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408535652', 'subgroup_hash': 1704921714080489344, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 218111089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408535652', 'subgroup_hash': 1704921714080489344, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 218111090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632510', 'subgroup_hash': 7120012236149172882, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408633185', 'subgroup_hash': 6475120005280334263, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^2:\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632510', 'subgroup_hash': 7120012236149172882, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632510', 'subgroup_hash': 7120012236149172882, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408535583', 'subgroup_hash': 8846012299494803188, 'subgroup_order': 1536, 'subgroup_tex': '(C_2\\times C_4)\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 218111096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408526608', 'subgroup_hash': 7424075372433372969, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408529105', 'subgroup_hash': 1117291814316689561, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6.C_2^3.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 218111098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408526855', 'subgroup_hash': 1888694692150066476, 'subgroup_order': 1536, 'subgroup_tex': '(C_2^3\\times C_4^2):C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 218111099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408526608', 'subgroup_hash': 7424075372433372969, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408538661', 'subgroup_hash': 839426213651909771, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408538661', 'subgroup_hash': 839426213651909771, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408538661', 'subgroup_hash': 839426213651909771, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408538661', 'subgroup_hash': 839426213651909771, 'subgroup_order': 1536, 'subgroup_tex': 'C_2\\times C_4^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408569020', 'subgroup_hash': 2246280721724691594, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632817', 'subgroup_hash': 2655508099316891207, 'subgroup_order': 1536, 'subgroup_tex': '(C_2^2\\times C_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632642', 'subgroup_hash': 4917804811768805711, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632643', 'subgroup_hash': 3027203384710510246, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632641', 'subgroup_hash': 7274808371533043998, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632642', 'subgroup_hash': 4917804811768805711, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632643', 'subgroup_hash': 3027203384710510246, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632641', 'subgroup_hash': 7274808371533043998, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632642', 'subgroup_hash': 4917804811768805711, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632643', 'subgroup_hash': 3027203384710510246, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632641', 'subgroup_hash': 7274808371533043998, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 218111116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632539', 'subgroup_hash': 5360779288040229295, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 218111118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632540', 'subgroup_hash': 7960054550478586708, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 218111119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632538', 'subgroup_hash': 8874431452370268869, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 218111120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408526874', 'subgroup_hash': 6925065639445862789, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408537473', 'subgroup_hash': 946203275491299533, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632506', 'subgroup_hash': 7388300861797195285, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632507', 'subgroup_hash': 8975587518276793702, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632505', 'subgroup_hash': 7361402859239407966, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632963', 'subgroup_hash': 7306586284422796967, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632959', 'subgroup_hash': 8254785503880948896, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408632961', 'subgroup_hash': 377481370581584549, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408537473', 'subgroup_hash': 946203275491299533, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 218111130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.32.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '1536.408526879', 'subgroup_hash': 5771241770097163900, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^5.C_2^4.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 218111131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1024, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.48.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2139072204010059593, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1024, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.48.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6649080944050624514, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.48.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5310719362895929321, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.48.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5032354418783043314, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.48.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2297235831976272343, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.96.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': 9030516914137381788, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.96.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': 9030516914137381788, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.96.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': 9030516914137381788, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.96.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': 4258439049830916220, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111141
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 512, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.96.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532393', 'subgroup_hash': 3046546263549564602, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times C_4^3', 'supersolvable': True, 'sylow': 0}
  • id: 218111142
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 256, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.192.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1538, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 218111143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.192.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1538, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': 26974, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111144
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 256, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.192.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1538, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55626', 'subgroup_hash': 55626, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.192.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1538, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': 26974, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.192.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1538', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1538, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': 26974, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.192.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1493', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1493, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': 27519, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 218111148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.192.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1493', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1493, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': 27519, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 218111149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 128, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.384.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.20164', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20164, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': 2319, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218111152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.384.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.20089', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20089, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': 998, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111153
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 64, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.768.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1090235', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1090235, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5:S_4', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'D3', 'C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 218111154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.768.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1090134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1090134, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': 56, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 218111155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 64, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.768.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1090231', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1090231, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218111156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 64, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.768.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1090231', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1090231, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 218111157
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 32, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.1536.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408641041', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3206390266156184837, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_2^5.S_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 218111158
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': False, 'core_order': 16, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.3072.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1385711918436414193, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111159
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 16, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.3072.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 114371611739069741, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6.S_4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111160
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 16, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.3072.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5653824878286085933, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 218111161
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': False, 'core_order': 8, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6144.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6144.ry', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4806686835349969594, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2.C_2^4:S_4', '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: 218111163
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 8, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.6144.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6144.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6144.hg', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6636344501892874478, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8.S_4', 'simple': False, 'solvable': True, 'special_labels': ['C8'], '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: 218111164
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 24576, 'characteristic': True, 'core_order': 4, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12288.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12288.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 640578877508866889, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6.C_2^4.D_6', 'simple': False, 'solvable': True, 'special_labels': ['U0'], '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: 218111165
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': False, 'core_order': 4, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12288.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '12288.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3746709610145849115, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6.C_2^4.D_6', '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: 218111166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '49152.nz.12288.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '12288.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7982096456463950160, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6.C_2^4.D_6', 'simple': False, 'solvable': True, 'special_labels': ['C9'], '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: 218111167
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 814, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '49152.nz.16384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16384.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': 16384, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 218111168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 2, 'counter': 815, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '49152.nz.24576.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '24576.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7803420404517911634, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^7.C_2^4.D_6', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 218111169
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '49152.nz', 'ambient_counter': 364, 'ambient_order': 49152, 'ambient_tex': 'C_2^8.C_2^3:S_4', 'central': True, 'central_factor': False, 'centralizer_order': 49152, 'characteristic': True, 'core_order': 1, 'counter': 816, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '49152.nz.49152.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '49152.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '49152.nz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1410416440151032101, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 49152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8.C_2^3:S_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D4', 'C10'], '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: 218110373
    {'ambient': '49152.nz', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6227383801, 40279687, 40284840, 51468682220474400120, 79804429772043678105600, 7, 1313901393967, 25903107681056726364847, 122002101778601640, 2796019446976, 51091297865491939320, 51091297859137536121, 216288449189794056862080, 355687555466897, 324406735719760038223312], 'label': '49152.nz.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, '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': None}
  • id: 218110374
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6227383801, 40279687, 1313941673647, 25903229681844523013167, 7, 51091300648883134096, 5167, 51091297859137536121, 216288449189794056862080, 324406735719760038223312, 122000787836928007, 51468685016319664696, 79804429412258910619441], 'label': '49152.nz.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.F', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110375
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 5167, 1313901388807, 79855520358527959449721, 51091297865491939320, 404210922197505431903856, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110376
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 7, 79855520358534139670520, 5167, 1313901388807, 2796019446976, 51091297859137536121, 355687555466897, 122002101738316800], 'label': '49152.nz.12.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CA', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110377
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 5167, 1313901388807, 79855520358527959449721, 51091297865491939320, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110378
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 51090942177936472457, 7, 5167, 1313901388807, 404159696448490799706952, 79855520358527959449721, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110379
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 51090942177936472457, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110380
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 404159696448490799706952, 79855520358527959449721, 2796019446976, 122002101738316800], 'label': '49152.nz.12.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110381
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 404159696448490799706952, 79855520358527959449721, 2796019446976, 122002101738316800], 'label': '49152.nz.12.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110382
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 355687555466897, 122002101738316800], 'label': '49152.nz.12.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CG', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110383
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110384
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110385
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51468682220474400120, 51347039915958369966, 7, 1313901393967, 51091297865491939320, 51091297859137536121, 355687555466897, 122002101738316800], 'label': '49152.nz.6.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.A', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218110386
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 122002101738316800], 'label': '49152.nz.12.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CJ', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110387
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 51090942177936472457, 7, 5167, 1313901388807, 404159696448490799706952, 2796019446976, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CK', 'subgroup_fusion': None, 'weyl_group': '28920.t'}
  • id: 218110388
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 355687555466897, 122002101738316800], 'label': '49152.nz.12.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CL', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110389
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 355693742571023, 7, 5167, 1313901388807, 256094954543232120, 79855520358527959449721, 51091297865491939320, 324406735718452363492558, 79804429767952438728377, 122002101738316800], 'label': '49152.nz.12.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110390
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51090942171836811023, 7, 5167, 1313901388807, 256094954543232120, 87465720, 79855520358527959449721, 324406735718452363492558, 79804429767952438728377, 122002101738316800], 'label': '49152.nz.12.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110391
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 377740054991997497, 7, 5167, 1313901388807, 404159696448490799706952, 2796019446976, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110392
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51468685010052726977, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 5167, 1313901388807, 51091297865491939320, 355687555466897, 122002101738316800, 51091297865364919680, 378359027103720864090817], 'label': '49152.nz.12.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110393
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79855142970069409840696, 7, 79855520358534139670520, 5167, 1313901388807, 51091297859137536121, 355687555466897, 122002101738316800, 378359027103720864090817], 'label': '49152.nz.12.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110394
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110395
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110396
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429772043678105600, 79855142970069409840696, 7, 1313901393967, 79855264619267158788622, 79855520714221614578062, 51091297859137536121, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.6.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110397
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 355687555466897, 122002101738316800], 'label': '49152.nz.12.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CT', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110398
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 355693742571023, 7, 5167, 1313901388807, 256094954543232120, 87465720, 79855520358527959449721, 324406735718452363492558, 79804429767952438728377, 122002101738316800], 'label': '49152.nz.12.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110399
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682226661504001, 7, 5167, 1313901388807, 324355645133275756879438, 51090942178023914897, 79804429767946211344576, 122002101738316800, 51091297859225006761], 'label': '49152.nz.12.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110400
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110401
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 355693742571023, 7, 5167, 1313901388807, 79855520358527959449721, 404210922197505431903856, 122002101738316800, 51468685016319664696, 51091297859225006761], 'label': '49152.nz.12.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110402
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110403
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 355693742571023, 7, 51091301956557139342, 5167, 1313901388807, 324355645133275756879438, 79855520358527959449721, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110404
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 5167, 1313901388807, 51091297865491939320, 51091297859137536121, 122002101738316800, 378359027103720864090817, 51468685016319664696], 'label': '49152.nz.12.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110405
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 5167, 1313901388807, 51091297865491939320, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110406
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51090942171836811023, 7, 5167, 1313901388807, 256094954543232120, 79855520358527959449721, 51091297865491939320, 324406735718452363492558, 79804429767952438728377, 122002101738316800], 'label': '49152.nz.12.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110407
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429772043678105600, 79855142970069409840696, 7, 350207795963537774438272, 1313901393967, 79855264619267158788622, 79855520714221614578062, 51091297859137536121, 122002101738316800], 'label': '49152.nz.6.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110408
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 51090942177936472457, 7, 5167, 1313901388807, 404159696448490799706952, 79855520358527959449721, 2796019446976, 122002101738316800], 'label': '49152.nz.12.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110409
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682226661504001, 51090942171836811023, 7, 5167, 1313901388807, 51091297865491939320, 51091300655156983097, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110410
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79855142970069409840696, 7, 5167, 1313901388807, 79804429416356203198097, 51091297865491939320, 51091297859137536121, 122002101738316800, 378359027103720864090817], 'label': '49152.nz.12.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110411
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 324355645133275756879438, 51090942178023914897, 51091300655156983097, 122002101738316800, 51091297859225006761], 'label': '49152.nz.12.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110412
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 355687555466897, 122002101738316800], 'label': '49152.nz.12.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DH', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110413
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 5167, 1313901388807, 79855520358527959449721, 122002101738316800, 378359027103720864090817, 51468685016319664696, 51091297859225006761], 'label': '49152.nz.12.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110414
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 5167, 1313901388807, 79855520358527959449721, 324406735719760038223312, 122002101738316800, 51468685016319664696, 51091297859225006761], 'label': '49152.nz.12.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110415
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 6354408361, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 122002101738316800], 'label': '49152.nz.12.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DK', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110416
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 6354408361, 7, 5167, 1313901388807, 324355645133275756879438, 51091300655156983097, 355687555466897, 122002101738316800], 'label': '49152.nz.12.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110417
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 358483400731441, 7, 5167, 1313901388807, 51091297859137536121, 79855520354436847063696, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110418
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 256094948356128001, 51347039909730986167, 51090942171836811023, 7, 1313901393967, 51091297865491939320, 324406735719760038223312, 122002101738316800, 256453431677025847], 'label': '49152.nz.6.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110419
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110420
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110421
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 51091300648883134096, 5167, 1313901388807, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110422
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 51091300648883134096, 5167, 1313901388807, 51091297859137536121, 122002101738316800, 378359027103720864090817, 51468685016319664696], 'label': '49152.nz.12.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110423
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 358483400731441, 79804429772043678105600, 7, 51091300648883134096, 5167, 1313901388807, 324406735719760038223312, 122002101738316800, 51091297865364919680, 51468685016319664696], 'label': '49152.nz.12.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110424
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 51091300648883134096, 5167, 1313901388807, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468685016319664696, 79804429412258910619441], 'label': '49152.nz.12.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110425
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 51091301956557139342, 5167, 1313901388807, 79855520358527959449721, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110426
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 324355645133282071002952, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 355687555466897, 122002101738316800], 'label': '49152.nz.12.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110427
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 51091301956557139342, 5167, 1313901388807, 79855520358527959449721, 122002101738316800, 378359027103720864090817, 51468685016319664696], 'label': '49152.nz.12.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110428
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 324355645131974436556798, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 355687555466897, 122002101738316800], 'label': '49152.nz.12.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110429
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51347039915958369966, 7, 1313901393967, 51091297865491939320, 51091297859137536121, 355687555466897, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.6.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110430
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 324355645131974436556798, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 122002101738316800], 'label': '49152.nz.12.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110431
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 324355645133282071002952, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 122002101738316800], 'label': '49152.nz.12.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110432
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 79855520358527959449721, 51091297865491939320, 79804429767946211344576, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110433
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 79855520358527959449721, 51091297865491939320, 79804429767946211344576, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110434
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 79804429772043678105600, 324355645133282071002952, 7, 5167, 1313901388807, 2796019446976, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110435
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 324355645133282071002952, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110436
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 404210787746356251348472, 79804429772043678105600, 7, 5167, 1313901388807, 2796019446976, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110437
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 324355645131974436556798, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110438
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 358483400731441, 79804429772043678105600, 378307935805868040655417, 7, 5167, 1313901388807, 51091297859137536121, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110439
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 358483400731441, 79804429772043678105600, 324355645133282071002952, 7, 5167, 1313901388807, 51091297859137536121, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110440
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 51347039915958369966, 256094948356128001, 6354408361, 79804429416362429856143, 7, 1313901393967, 324406735718452363492558, 79855520714215340734223, 355687555466897, 122002101738316800], 'label': '49152.nz.6.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110441
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40279687, 40284840, 7, 1313901393967, 25903107681056726364847, 51090942171709819583, 404159696448490799706952, 122002101778601640, 79855520358527959449721, 216237614342576803562896, 79804429767952438728377], 'label': '49152.nz.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218110442
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [216237614342570576179342, 355693655133503, 40279687, 40284840, 79804429772049905489401, 378307680065293251167998, 7, 1313901393967, 25903107681056726364847, 122002101778601640, 51091300655156983097], 'label': '49152.nz.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218110443
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [296092756956952431278663, 40279687, 40284840, 378358905098842001493712, 7, 51091300648883134096, 1313901393967, 79855520710124235259441, 25903107681056726364847, 122002101778601640, 51468685016319664696], 'label': '49152.nz.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218110444
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40279687, 40284840, 2789792789177, 256094948356128001, 7, 79855520354430492688697, 1313901393967, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 355687555466897], 'label': '49152.nz.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.I', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': '1536.408530821'}
  • id: 218110445
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40279687, 122002101778601640, 7, 256097737934455096, 79855520710118048155567, 25903107681056726364847, 40284840, 1313901393967, 324406735719760038223312, 216288449189794056862080, 51091300655070243137], 'label': '49152.nz.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.E', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': '1536.408639927'}
  • id: 218110446
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6227383801, 40279687, 40284840, 79855142970069409840696, 7, 1313901393967, 79804429416356203198097, 25903107681056726364847, 122002101778601640, 51091297859137536121, 216288449189794056862080], 'label': '49152.nz.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110447
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6227383801, 40279687, 40284840, 79804429772043678105600, 7, 1313901393967, 25903107681056726364847, 122002101778601640, 2796019446976, 51091297859137536121, 216288449189794056862080], 'label': '49152.nz.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110448
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6227383801, 40279687, 40284840, 7, 1313901393967, 25903107681056726364847, 122002101778601640, 51091297859137536121, 216288449189794056862080, 51468685016319664696, 79804429412258910619441], 'label': '49152.nz.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.F', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110449
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40279687, 122002101778601640, 7, 2789792789177, 25903107681056726364847, 40284840, 1313901393967, 79855520354430492688697, 256094954543232120, 216288449189794056862080, 51090942171836811023], 'label': '49152.nz.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.E', 'old_label': '16.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': '1536.408530796'}
  • id: 218110450
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40279687, 40284840, 51090942171836811023, 7, 256094954543232120, 1313901393967, 25903107681056726364847, 122002101778601640, 79855520358527959449721, 216288449189794056862080, 79804429767952438728377], 'label': '49152.nz.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110451
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 51347039915958369966, 256094948356128001, 6354408361, 79804429416362429856143, 7, 1313901393967, 355687555466897, 324406735719760038223312, 79855520714215340734223, 122002101738316800], 'label': '49152.nz.6.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110452
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [87465720, 122002101778601640, 7, 40279687, 25903107681056726364847, 40284840, 1313901393967, 79804173672998109232577, 79804429416356203198097, 324406735715669012577217, 216288449191276174920263], 'label': '49152.nz.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.K', 'old_label': '16.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': '768.1090049'}
  • id: 218110453
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 40284840, 51468682220474400120, 2789792789177, 7, 79855520354430492688697, 51090942178023914897, 1313901393967, 25903107681056726364847, 122002101778601640, 216288449189794056862080], 'label': '49152.nz.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '16.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': '1536.408529096'}
  • id: 218110454
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 122002101778601640, 7, 256094948356128001, 25903107681056726364847, 40284840, 1313901393967, 355687555466897, 216288449189794056862080, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.C', 'old_label': '16.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': '1536.408530794'}
  • id: 218110455
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40279687, 122002101778601640, 7, 256094948356128001, 25903107681056726364847, 40284840, 1313901393967, 79804429772049905489401, 355687555466897, 216288449189794056862080, 51091300655156983097], 'label': '49152.nz.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.E', 'old_label': '16.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': '10368.ek'}
  • id: 218110456
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 40284840, 355693742571023, 2789792789177, 51468682226661504001, 7, 79855520354430492688697, 1313901393967, 25903107681056726364847, 122002101778601640, 216288449189794056862080], 'label': '49152.nz.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': '1536.408530816'}
  • id: 218110457
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [40284840, 79855520358527959449726, 1313901393967, 324406735718452363497478, 51090942171796531336, 256094954543232127, 87465720, 25903107681056726364847, 79804429767952478282297, 122002101778601640, 216288449189794056862080], 'label': '49152.nz.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '16.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': '1536.408640178'}
  • id: 218110458
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 122002101778601640, 1313901393960, 25903107681056726364847, 40284840, 51091297859137536121, 6227383801, 2796019446976, 242089374985205916268800, 79804429772043678105600, 51090942177936472457], 'label': '49152.nz.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '16.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110459
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [256096255990584247, 40279687, 40284840, 1313901393960, 51090943485738204736, 87465720, 25903107681056726364847, 122002101778601640, 79855520358527959449721, 242089374985205916268800, 79804429767952438728377], 'label': '49152.nz.16.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '16.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110460
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 122002101778601640, 1313901393960, 25903107681056726364847, 40284840, 51091297859137536121, 6227383801, 51090943479383824582, 2796019446976, 242089374985205916268800, 79804429772043678105600], 'label': '49152.nz.16.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '16.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110461
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [256096255990584247, 40279687, 40284840, 1313901393960, 51090943485738204736, 25903107681056726364847, 122002101778601640, 79855520358527959449721, 242089374985205916268800, 79804429767952438728377, 1313988859447], 'label': '49152.nz.16.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '16.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110462
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51347039915958369966, 7, 378095742333002280, 1313901393967, 51091297859137536121, 355687555466897, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.6.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110463
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [6227383801, 40279687, 40284840, 79804429772043678105600, 1313901393960, 324355523132494234079879, 25903107681056726364847, 2796019446976, 122002101778601640, 51091297859137536121, 242089374985205916268800], 'label': '49152.nz.16.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '16.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110464
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [6227383801, 40279687, 40284840, 79804429772043678105600, 324355645133282071002952, 1313901393960, 25903107681056726364847, 2796019446976, 122002101778601640, 51091297859137536121, 242089374985205916268800], 'label': '49152.nz.16.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '16.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110465
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 40284840, 242140465571690197612921, 324355523131186599623633, 1313901393960, 51090943485738204736, 256094954543232120, 25903107681056726364847, 122002101778601640, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.16.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '16.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110466
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 40284840, 242140465571690197612921, 324355645131974436556798, 1313901393960, 51090943485738204736, 256094954543232120, 25903107681056726364847, 122002101778601640, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.16.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '16.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110467
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 51091297859137536121, 79855520710124147788801, 6227383801, 122004885343996936, 79804429767946211344583], 'label': '49152.nz.24.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.A', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218110468
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 79855520710124274813361, 256094954543232120, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.B', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218110469
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 51091297859137536121, 6227383801, 79804308126943182182422, 51469042005282193921], 'label': '49152.nz.24.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.C', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218110470
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 355687555466897, 79855520710124274813361, 6354408361, 51468686317767006736], 'label': '49152.nz.24.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.D', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218110471
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 51091297859137536121, 79804429412258910619441, 378095742333002280, 6227383801, 51468686317767006736], 'label': '49152.nz.24.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.E', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218110472
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [87465720, 25903229683158464681647, 1313901388800, 122002101738316800, 40284840, 5167, 79855520710124274813361, 324355645133275756879438, 256094954543232120, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.F', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218110473
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429772043678105600, 79855142970069409840696, 7, 350207795963537774438272, 1313901393967, 79855264619267158788622, 51091297865491939320, 51091297859137536121, 122002101738316800], 'label': '49152.nz.6.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110474
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [87465720, 25903229683158464681647, 1313901388800, 122002101738316800, 40284840, 5167, 79855520710124274813361, 324355523132487919956358, 256094954543232120, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.G', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218110475
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 1313901388800, 40284840, 5167, 324406735718452363492558, 256450635697132823, 79804429412258910619441, 51091297865364919680, 51468686317767006736, 355693655133503], 'label': '49152.nz.24.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.H', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218110476
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 1313901388800, 40284840, 5167, 51091299173038924926, 79804429412258910619441, 6227383801, 324406735719760038223312, 51468686317767006736, 51090942177936472457], 'label': '49152.nz.24.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.I', 'subgroup_fusion': None, 'weyl_group': '512.6338984'}
  • id: 218110477
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 1313901388800, 40284840, 5167, 51468682226661504001, 51090943479471262102, 79855520710124274813361, 6354408361, 324355645133275756879438, 51468686317767006736], 'label': '49152.nz.24.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BG', 'old_label': '24.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.J', 'subgroup_fusion': None, 'weyl_group': '512.6359062'}
  • id: 218110478
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1313988854527, 25903229683158464681647, 1313901388800, 122002101738316800, 40284840, 5167, 79855520710124274813361, 324355645133275756879438, 256094954543232120, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.K', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218110479
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 324406614429039382761478, 1313901388800, 5167, 256450635697132823, 51468686317767006736, 356995102480696, 51091297865364919680, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.L', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218110480
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 1313901388800, 40284840, 5167, 324406735718452363492558, 256450635697132823, 356995102480696, 79804429412258910619441, 51091297865364919680, 51468686317767006736], 'label': '49152.nz.24.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.P', 'old_label': '24.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.M', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218110481
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 51091299173038924926, 40284840, 324406614430347057492472, 1313901388800, 5167, 51090943479383819662, 51468686317767006736, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.N', 'subgroup_fusion': None, 'weyl_group': '512.6338984'}
  • id: 218110482
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 1313901388800, 40284840, 5167, 51091299173038924926, 79804429412258910619441, 6227383801, 324406735719760038223312, 51090943479383819662, 51468686317767006736], 'label': '49152.nz.24.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.O', 'subgroup_fusion': None, 'weyl_group': '512.6338984'}
  • id: 218110483
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682226661504001, 79855520710124274813361, 1313901388800, 5167, 324355645133275756879438, 51090943479471262102, 51468686317767006736, 1307801755566, 122002101738316800], 'label': '49152.nz.24.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BG', 'old_label': '24.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.P', 'subgroup_fusion': None, 'weyl_group': '512.6359062'}
  • id: 218110484
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 51468682220474400120, 40284847, 79804429772043678105600, 7, 1313901388807, 122000787877207687, 2796019446976, 51091297865491939320, 51091297859137536121, 216288449189794056862080, 355687555466897], 'label': '49152.nz.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110485
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 51347039915958369966, 256094948356128001, 79804429416362429856143, 7, 1313901393967, 51091297865491939320, 324406735718452363492558, 79855520714215340734223, 355687555466897, 122002101738316800], 'label': '49152.nz.6.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110486
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 1313901388800, 40284840, 5167, 51468682226661504001, 51090943479471262102, 79855520710124274813361, 324355523132487919956358, 51468686317767006736, 1307801755566], 'label': '49152.nz.24.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BG', 'old_label': '24.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Q', 'subgroup_fusion': None, 'weyl_group': '512.6359062'}
  • id: 218110487
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 404159696445707448042823, 51091297865364919680, 51090942171836811023], 'label': '49152.nz.24.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110488
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 40284840, 122002101738316800, 1313901388807, 79804173321408021252503, 256094954543232120, 79804429412265137277480, 355693742571023], 'label': '49152.nz.24.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.S', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110489
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 79855264615169692027561, 51468686323994390537, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.T', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110490
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 404159696447015122773817, 51091297865364919680, 51090942171836811023], 'label': '49152.nz.24.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110491
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 79804173321408021252503, 25903229681850877411201, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.V', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110492
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51468682226661504001, 79804173321408021252503, 79804429412265137277480, 51091297859225006761, 51090942171836811023], 'label': '49152.nz.24.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.W', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110493
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 256094954543232120, 79804429412265137277480, 51091297859225006761, 355693742571023], 'label': '49152.nz.24.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.X', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110494
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804173321408021252503, 25903229681850877411201, 6227383801], 'label': '49152.nz.24.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.yB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Y', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110495
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 25852138739672940943943, 79804173321408021252503, 79855520710124147788801, 6227383801], 'label': '49152.nz.24.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.yC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Z', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110496
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51468682220474400120, 51347039909730986167, 51090942171836811023, 7, 1313901393967, 51091297865491939320, 324406735718452363492558, 122002101738316800, 256453431677025847], 'label': '49152.nz.6.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110497
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51090942171709819583, 25903229683158464681647, 404159696447015122773817, 51468686323994390537, 1313901388807, 79855264259488577680577, 7], 'label': '49152.nz.24.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110498
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520714215300454543, 404159696445707448042823, 51091297865364919680, 51469042005282193921, 51468686324081112377], 'label': '49152.nz.24.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110499
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 378099839799763336, 5167, 1313901388807, 79804308126943182182422, 404159696445707448042823, 51091297865364919680, 377744146144658047], 'label': '49152.nz.24.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110500
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 79804173321408021252503, 6227383801, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BD', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110501
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804429412265010257840, 79804173321408021252503, 6227383801, 79804052027897573755440, 79804429767946211344583], 'label': '49152.nz.24.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BE', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110502
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 79804173321408021252503, 79804429412265137277480, 51091297859225006761, 355693742571023], 'label': '49152.nz.24.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110503
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 51468686323994390537, 5167, 1313901388807, 51090942171709819583, 324406735715669012582377, 378099833485662857, 122002101738316800], 'label': '49152.nz.24.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110504
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 79855520714215300454543, 51091297865364919680, 51469042005282193921, 51468686324081112377], 'label': '49152.nz.24.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110505
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [377744146144658047, 79804308126943182182422, 122002101738316800, 378099839799763336, 40284840, 51091297865364919680, 5167, 25903229683158464681647, 404159696447015122773817, 1313901388807, 7], 'label': '49152.nz.24.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110506
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 51091297859137536121, 79804173317316868591921, 79855264619267158788622, 79804429412265137277480], 'label': '49152.nz.24.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110507
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51468682220474400120, 51347039909730986167, 51090942171836811023, 7, 1313901393967, 51091297865491939320, 324406735719760038223312, 122002101738316800, 256453431677025847], 'label': '49152.nz.6.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110508
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 79855520710118048155560, 378099839799763336, 40284840, 5167, 1313901388807, 6227383801, 51469042005282193921, 51468682220474400120], 'label': '49152.nz.24.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110509
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 256094948356128001, 5167, 51090942171836811023, 25903229683158464681647, 79855520710124147788801, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bkB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110510
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 256094948356128001, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bkC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110511
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 378099839799763336, 40284840, 5167, 1313901388807, 51091297859137536121, 6227383801, 51469042005282193921, 51468682220474400120], 'label': '49152.nz.24.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110512
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 79855264259482351022783, 51091297859137536121, 6227383801, 51090942177936472457], 'label': '49152.nz.24.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BO', 'subgroup_fusion': None, 'weyl_group': '28920.t'}
  • id: 218110513
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51090942177936472457, 7, 5167, 1313901388807, 324406735715669012582377, 51091297859137536121, 79855264259482351022783, 122002101738316800], 'label': '49152.nz.24.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BP', 'subgroup_fusion': None, 'weyl_group': '28920.t'}
  • id: 218110514
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51469042005282193921, 378099839799763336, 7, 5167, 1313901388807, 51091297859137536121, 79804308126943182182422, 122002101738316800], 'label': '49152.nz.24.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BQ', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110515
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804173317316868591921, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 79804429767946211344583, 122002101738316800], 'label': '49152.nz.24.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110516
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537, 51091297859225006761, 51468682220474400120], 'label': '49152.nz.24.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110517
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51090942178023914897, 378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110518
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 51468682220474400120, 51347039915958369966, 6354408361, 79804429416362429856143, 7, 1313901393967, 355687555466897, 324406735719760038223312, 79855520714215340734223, 122002101738316800], 'label': '49152.nz.6.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110519
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 25852138739672940943943, 51091297865491939320, 79804173321408021252503, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bsB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110520
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804429412265010257840, 79804173321408021252503, 6227383801, 51468682220474400120], 'label': '49152.nz.24.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bsC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110521
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 378095742333002280, 79855264619267158788622, 79804429412265137277480, 79804429767946211344583], 'label': '49152.nz.24.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110522
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51091297865491939320, 355687555466897, 6227383801, 51468682220474400120], 'label': '49152.nz.24.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110523
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 378095742333002280, 51091297859137536121, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110524
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 79804173321408021252503, 51468686323994390537, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BZ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110525
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 79804173677095362257286, 40284840, 51468682220474400120, 7, 5167, 79804173321414161198782, 1313901388807, 122002101738316800, 51091297865364919680, 404159696445707448042823], 'label': '49152.nz.24.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110526
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804173321408021252503, 25903229681850877411201, 6227383801, 51468682220474400120], 'label': '49152.nz.24.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.byB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110527
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 25852138739672940943943, 79804173321408021252503, 79855520710124147788801, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.byC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CC', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110528
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 79804429412265137277480, 51091297859225006761, 51468682220474400120, 51090942171836811023], 'label': '49152.nz.24.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CD', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110529
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 51468682220474400120, 51347039915958369966, 6354408361, 79804429416362429856143, 7, 1313901393967, 324406735718452363492558, 79855520714215340734223, 355687555466897, 122002101738316800], 'label': '49152.nz.6.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110530
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 79804173321414161198782, 51091297865364919680, 79804173677095362257286, 51468682220474400120], 'label': '49152.nz.24.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110531
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51090942171709819583, 25903229683158464681647, 404159696447015122773817, 51468686323994390537, 79855264259482351022783, 1313901388807, 7], 'label': '49152.nz.24.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110532
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273298729743, 7, 25903229683158464681647, 256094948356128001, 122002101738316800, 40284840, 5167, 1313901388807, 404159696445707448042823, 51091297865364919680, 79855264263579643601400], 'label': '49152.nz.24.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110533
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51090942171709819583, 79855264259482351022783, 51468686323994390537, 378099833485662857, 404159696448490799706952], 'label': '49152.nz.24.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110534
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273298729743, 7, 25903229683158464681647, 256094948356128001, 40284840, 122002101738316800, 5167, 1313901388807, 404159696447015122773817, 51091297865364919680, 79855264263579643601400], 'label': '49152.nz.24.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110535
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 355687555466897, 378099833485662857, 6227383801, 79855520710124147788801, 51468682220474400120], 'label': '49152.nz.24.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110536
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 79804429412265010257840, 378099833485662857, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110537
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 79855264619267158788622, 79855520710124147788801, 79804429412265137277480, 79804429767946211344583], 'label': '49152.nz.24.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110538
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79804173321414161198782, 355687555466897, 6227383801, 51468682220474400120], 'label': '49152.nz.24.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110539
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 7, 5167, 79804173321414161198782, 1313901388807, 51091297859137536121, 122002101738316800, 79855264263579643601400], 'label': '49152.nz.24.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CN', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110540
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 51468682220474400120, 51347039915958369966, 79804429416362429856143, 7, 1313901393967, 51091297865491939320, 355687555466897, 324406735719760038223312, 79855520714215340734223, 122002101738316800], 'label': '49152.nz.6.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110541
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122773817, 51091297859137536121, 6227383801, 79804307771255881457280, 51090942177936472457], 'label': '49152.nz.24.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110542
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 6227383801, 79804307771255881457280, 51090942177936472457, 404159696448490799706952], 'label': '49152.nz.24.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CP', 'subgroup_fusion': None, 'weyl_group': '10000.dm'}
  • id: 218110543
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 79855520710124147788801, 355687555466897, 122002101738316800], 'label': '49152.nz.24.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110544
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51091297865491939320, 79804429412258910619441, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110545
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 40284840, 122002101738316800, 1313901388807, 79804173321408021252503, 51468686323994390537, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110546
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 355687555466897, 79804173321408021252503, 79855520710124147788801, 6227383801], 'label': '49152.nz.24.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110547
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412265010257840, 79855520354430492688697, 79804173321408021252503, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110548
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 79804173321408021252503, 256094954543232120, 79804429412265137277480, 51090942171836811023], 'label': '49152.nz.24.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.crB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110549
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 256094954543232120, 122002101738316800, 40284840, 79804173321408021252503, 5167, 51090942171836811023, 25903229683158464681647, 79804429412265137277480, 1313901388807, 7], 'label': '49152.nz.24.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.crC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110550
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 79855264615169692027561, 6227383801, 1313901388807, 6354408361, 7], 'label': '49152.nz.24.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110551
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51468682220474400120, 6354408361, 51347039909730986167, 51090942171836811023, 7, 1313901393967, 324406735719760038223312, 122002101738316800, 256453431677025847], 'label': '49152.nz.6.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110552
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 256094948356128001, 6354408361, 7, 5167, 1313901388807, 355687555466897, 378099833485662857, 122002101738316800], 'label': '49152.nz.24.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110553
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79855520710124147788801, 6227383801, 79804308126943182182422, 79855264263579643601400], 'label': '49152.nz.24.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CZ', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110554
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 378099833485662857, 6227383801], 'label': '49152.nz.24.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110555
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 79855264615169692027561, 79855520710124147788801, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110556
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51090942171709819583, 51468686317767006736, 404210787744874260309703, 51091297865364919680, 122002101738316800], 'label': '49152.nz.24.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110557
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51090942171709819583, 51468686317767006736, 324406735719760038223312, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110558
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51090942171709819583, 404159696448490799706952, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110559
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51090942171709819583, 324406735715669012582377, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110560
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 324355645133275756879438, 51090942171709819583, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110561
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 378307680065293251167998, 7, 5167, 1313901388807, 51090942171709819583, 51468686317767006736, 51091297865364919680, 122002101738316800], 'label': '49152.nz.24.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110562
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51468682220474400120, 51347039915958369966, 7, 1313901393967, 51091297859137536121, 355687555466897, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.6.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110563
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 378099833485662857, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DI', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110564
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273385446423, 256094954543232120, 122002101738316800, 79855520710118048155560, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 1313901388807, 7], 'label': '49152.nz.24.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110565
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 378095742333002280, 6227383801, 79855264619267158788622, 79804429767946211344583], 'label': '49152.nz.24.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DK', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110566
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110567
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 51468686323994390537, 256094954543232120, 6354408361, 51090942178023914897], 'label': '49152.nz.24.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110568
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 122002101738316800, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537], 'label': '49152.nz.24.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110569
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 256094948356128001, 5167, 25903229683158464681647, 51091297865491939320, 79804429412258910619441, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DO', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110570
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 79855520354430492688697, 79804173321408021252503, 79855520710124147788801, 6227383801], 'label': '49152.nz.24.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DP', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110571
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 79804173321408021252503, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110572
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 324355645133275756879438, 51090942171709819583, 51468686317767006736, 51469037914042788503, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DR', 'subgroup_fusion': None, 'weyl_group': '512.324940'}
  • id: 218110573
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6227383801, 40284840, 79804429772043678105600, 7, 5167, 1313901388807, 25903107681056726364847, 79855520714221614578062, 122002101778601640, 51091297859137536121, 216288449189794056862080, 79804307767158414696256], 'label': '49152.nz.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110574
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51090942171709819583, 51468686317767006736, 51469037914042788503, 324406735719760038223312, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DS', 'subgroup_fusion': None, 'weyl_group': '512.324940'}
  • id: 218110575
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 355687555466897, 51091297859137536121, 79804173317316868591921, 79855264619267158788622, 6227383801], 'label': '49152.nz.24.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DT', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110576
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 40284840, 122002101738316800, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537, 256094954543232120], 'label': '49152.nz.24.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DU', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110577
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 378095742333002280, 79804429412265137277480, 51091297859137536121, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DV', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110578
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79855520710124274813361, 122002101738316800, 51468682220474400120, 40284840, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 51091297865491939320, 1313901388807, 7], 'label': '49152.nz.24.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110579
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51468682226661504001, 51091297865491939320, 79804173321408021252503, 79804429412265137277480, 355693742571023], 'label': '49152.nz.24.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110580
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79804429767952478282297, 378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 79855520710117960689840, 25903229683158464681647, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110581
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 79804173321408021252503, 25903229681850877411201, 6227383801, 51468682220474400120], 'label': '49152.nz.24.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DZ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110582
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 25903229681850877411201, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110583
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 355687555466897, 79804173321408021252503, 79855520710124147788801, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110584
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40284840, 79804429416356203198102, 51090942171836811023, 7, 5167, 1313901388807, 256094954543232120, 87465720, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 256453431677025847], 'label': '49152.nz.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110585
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 79804173321408021252503, 79855520710124147788801, 6227383801, 51468682220474400120], 'label': '49152.nz.24.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EC', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110586
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 79855264619267158788622, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 79804429412265137277480, 1313901388807, 7], 'label': '49152.nz.24.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ED', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110587
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 79855520710124147788801, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EE', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110588
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 51469037907815404937, 5167, 1313901388807, 51090942171709819583, 51468686317767006736, 324406735719760038223312, 51091297865364919680, 122002101738316800], 'label': '49152.nz.24.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110589
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 324406735718452363492558, 79804429412258910619441, 51091297865364919680, 51468686317767006736, 355693655133503], 'label': '49152.nz.24.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110590
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 51469037907815404937, 5167, 1313901388807, 324355645133275756879438, 51090942171709819583, 51468686317767006736, 51091297865364919680, 122002101738316800], 'label': '49152.nz.24.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110591
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 51091297859137536121, 79804173317316868591921, 51468686317767006736, 79804429412265137277480, 79804429767946211344583], 'label': '49152.nz.24.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EI', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110592
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 79804429412265137277480, 51091297865491939320, 51091297859137536121, 51468686317767006736, 79804429767946211344583, 122002101738316800], 'label': '49152.nz.24.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110593
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [324406735719760038223312, 122002101738316800, 40284840, 51091297865364919680, 5167, 51468686317767006736, 25903229683158464681647, 355693655133503, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110594
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273385446423, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 122002101738316800, 1313901388807, 355687555466897, 6354408361, 51468682220474400120], 'label': '49152.nz.24.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110595
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 51468682220474400120, 40284847, 79804429772043678105600, 324355645133282071002952, 7, 1313901388807, 122000787877207687, 2796019446976, 51091297859137536121, 216288449189794056862080, 355687555466897], 'label': '49152.nz.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110596
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40284840, 256094948356128001, 51347039909730986167, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 355687555466897, 79855520714215340734223, 51091297859225006761], 'label': '49152.nz.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.C', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': '1536.408530794'}
  • id: 218110597
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 355687555466897, 51091297859137536121, 79855264619267158788622, 6227383801], 'label': '49152.nz.24.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.eh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110598
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 51091297859137536121, 6227383801, 51468686317767006736, 51090942177936472457], 'label': '49152.nz.24.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ei1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110599
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 6227383801, 324406735719760038223312, 51468686317767006736, 51090942177936472457], 'label': '49152.nz.24.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110600
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 51091297859137536121, 79804429412258910619441, 6227383801, 51468686317767006736], 'label': '49152.nz.24.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ek1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EP', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110601
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804429412258910619441, 378099833485662857, 51091297859225006761, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.el1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110602
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 6354408361, 7, 5167, 1313901388807, 51090942178023914897, 51468686317767006736, 79804052027897573755440, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.em1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110603
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 79855520710124274813361, 7, 5167, 1313901388807, 51090942178023914897, 51468686317767006736, 122002101738316800, 51091297859225006761], 'label': '49152.nz.24.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.en1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ES', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110604
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 6354408361, 7, 5167, 1313901388807, 324355645133275756879438, 51090942178023914897, 51468686317767006736, 79804052027897573755440, 122002101738316800], 'label': '49152.nz.24.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.eo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110605
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 79804173321408021252503, 256094954543232120, 79804429412265137277480, 355693742571023], 'label': '49152.nz.24.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ep1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110606
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 6354408361, 404159696445707448042823, 51091297865364919680, 79804052027897573755440], 'label': '49152.nz.24.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.eq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110607
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6227383801, 40284840, 79804429416356203198102, 51347039915958369966, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 51091297865491939320, 51091297859137536121, 216288449189794056862080], 'label': '49152.nz.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110608
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122773817, 355687555466897, 6354408361, 51091297865364919680, 79804052027897573755440], 'label': '49152.nz.24.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.er1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110609
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 355687555466897, 51468686323994390537, 378099833485662857, 79855264615175958965040, 51091297859225006761], 'label': '49152.nz.24.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.es1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EX', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110610
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 378099833485662857, 6354408361, 6227383801, 51090942171836811023], 'label': '49152.nz.24.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.et1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110611
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 122002101738316800, 79855264619273385446423, 1313901388807, 256094954543232120, 355693742571023], 'label': '49152.nz.24.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.eu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EZ', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110612
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804173321408021252503, 25903229681850877411201, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.evB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110613
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804173321408021252503, 79855520710124147788801, 6227383801, 51468682220474400120], 'label': '49152.nz.24.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.evC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110614
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 79855520710117960689840, 25903229683158464681647, 79804429767946211344583, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ew1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FC', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110615
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091301956644604817, 79804429412265010257840, 404159696445707448042823, 51091297865364919680, 79804429767946211344583], 'label': '49152.nz.24.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ex1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110616
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 51091301956644604817, 40284840, 51091297865364919680, 5167, 25903229683158464681647, 404159696447015122773817, 79804429767946211344583, 79804429412265010257840, 1313901388807, 7], 'label': '49152.nz.24.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ey1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110617
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79855520354430492688697, 378099833485662857, 6227383801, 79855520710124147788801, 51468682220474400120], 'label': '49152.nz.24.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ez1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110618
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 51468682220474400120, 51347039909730986167, 7, 5167, 1313901388807, 51090942178023914897, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 79855520714215340734223, 51091297859225006761], 'label': '49152.nz.8.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.E', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.E', 'subgroup_fusion': None, 'weyl_group': '1536.408530796'}
  • id: 218110619
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 355687555466897, 79855520710124147788801, 6227383801, 51468682220474400120], 'label': '49152.nz.24.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FG', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110620
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 51091297859137536121, 79855264619267158788622, 79804429412265137277480, 79804429767946211344583], 'label': '49152.nz.24.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FH', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110621
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297865491939320, 51091297859137536121, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FI', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110622
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 51468686323994390537, 6354408361, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110623
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 79855520354430492688697, 79804173321408021252503, 79855520710124147788801, 6227383801], 'label': '49152.nz.24.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110624
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 355687555466897, 79855520710124147788801, 6227383801, 79804308126943182182422], 'label': '49152.nz.24.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ff1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FL', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110625
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 79855520710124147788801, 6227383801], 'label': '49152.nz.24.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110626
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 5167, 25903229683158464681647, 79855264615169692027561, 79855520710124147788801, 355687555466897, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110627
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 79855520710118048155560, 25903229683158464681647, 40284840, 6354408361, 7, 5167, 1313901388807, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FO', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110628
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79855520710124274813361, 6354408361, 51468686317767006736, 51468682220474400120], 'label': '49152.nz.24.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FP', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110629
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40284840, 51347039915958369966, 256094948356128001, 6354408361, 79804429416362429856143, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 355687555466897], 'label': '49152.nz.8.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.E', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.F', 'subgroup_fusion': None, 'weyl_group': '10368.ek'}
  • id: 218110630
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 355687555466897, 79804173321408021252503, 6227383801, 51468682220474400120], 'label': '49152.nz.24.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110631
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 256094954543232120, 79804429412265137277480, 51091297859225006761, 51090942171836811023], 'label': '49152.nz.24.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110632
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 79855264615169692027561, 79804429412265010257840, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110633
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 5167, 25903229683158464681647, 79855264615169692027561, 79804173321414161198782, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110634
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 355687555466897, 378095742333002280, 79855264619267158788622, 79804429412265137277480], 'label': '49152.nz.24.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110635
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429412265010257840, 7, 5167, 1313901388807, 79804052027897573755440, 355687555466897, 378099833485662857, 122002101738316800], 'label': '49152.nz.24.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110636
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 122002101738316800, 40284840, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 79855264615169692027561, 1313901388807, 404210787744874260309703, 7], 'label': '49152.nz.24.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FW', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218110637
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110638
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 256094948356128001, 7, 5167, 51468686323994390537, 1313901388807, 51090942178023914897, 87465720, 79804173321408021252503, 122002101738316800], 'label': '49152.nz.24.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.fs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FY', 'subgroup_fusion': None, 'weyl_group': '128.1578'}
  • id: 218110639
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 122002101738316800, 40284840, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 79855264615169692027561, 324355645133275756879438, 1313901388807, 7], 'label': '49152.nz.24.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.ft1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FZ', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218110640
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6227383801, 40284840, 7, 5167, 1313901388807, 79855264619267158788622, 25903107681056726364847, 79855520714221614578062, 122002101778601640, 51091297859137536121, 51347395603299374776, 216288449189794056862080], 'label': '49152.nz.8.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.F', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110641
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51090942171709819583, 256450635697132823, 79804429412258910619441, 324355645133275756879438, 51468686317767006736], 'label': '49152.nz.24.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GA', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218110642
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79804429412258823148801, 25903229683158464681647, 40284840, 51468682220474400120, 7, 79855520354430492688697, 5167, 1313901388807, 51468686317767006736, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GB', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218110643
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 404210787744874260309703, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804052027903840693161, 51091297865491939320, 51468686317767006736, 355693742571023], 'label': '49152.nz.24.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110644
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 256450635697132823, 51090942171709819583, 404159696448490799706952, 51468686317767006736, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GD', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218110645
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 324355645133275756879438, 51468686317767006736, 79804429412258823148801, 51468682220474400120], 'label': '49152.nz.24.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GE', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218110646
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804052027903840693161, 51091297865491939320, 324355645133275756879438, 51468686317767006736, 355693742571023], 'label': '49152.nz.24.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.fz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110647
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429412265010257840, 51468682220474400120, 7, 79855520354430492688697, 5167, 1313901388807, 79804173321408021252503, 122002101738316800], 'label': '49152.nz.24.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ga1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GG', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110648
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 79855264619267158788622, 5167, 51347392813633605241, 51090942171836811023, 25903229683158464681647, 79804429412265137277480, 1313901388807, 7], 'label': '49152.nz.24.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GH', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110649
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 324355645133275756879438, 51090942171709819583, 51468686317767006736, 51469037914042788503, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110650
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 378307680065293251167998, 7, 5167, 1313901388807, 51090942171709819583, 51468686317767006736, 51469037914042788503, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110651
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40284840, 355693742571023, 51347039909730986167, 51468682226661504001, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 79855520714215340734223, 51091297859225006761], 'label': '49152.nz.8.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.H', 'subgroup_fusion': None, 'weyl_group': '1536.408530816'}
  • id: 218110652
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 378095742333002280, 6227383801, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ge1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110653
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855520710124274813361, 7, 5167, 1313901388807, 324355645133275756879438, 51090942171709819583, 51468686317767006736, 51469037914042788503, 122002101738316800], 'label': '49152.nz.24.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.gf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110654
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 79855520710124274813361, 51468686317767006736, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GM', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110655
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855520710124274813361, 7, 5167, 1313901388807, 51090942171709819583, 404159696448490799706952, 51468686317767006736, 51469037914042788503, 122002101738316800], 'label': '49152.nz.24.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.gh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110656
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 79855520710124147788801, 51468686323994390537, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GO', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110657
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 51091297865491939320, 79855520354430492688697, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GP', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110658
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429412265010257840, 25903485776792879141161, 7, 5167, 1313901388807, 79804173321408021252503, 355687555466897, 122002101738316800], 'label': '49152.nz.24.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110659
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 51091297865491939320, 355687555466897, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110660
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429412265010257840, 25903485776792879141161, 7, 79855520354430492688697, 5167, 1313901388807, 79804173321408021252503, 122002101738316800], 'label': '49152.nz.24.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110661
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51091297865491939320, 355687555466897, 6227383801], 'label': '49152.nz.24.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110662
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 51347039909730986167, 51090942171836811023, 7, 5167, 1313901388807, 256094954543232120, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 79855520714215340734223, 51091297859225006761], 'label': '49152.nz.8.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.I', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.I', 'subgroup_fusion': None, 'weyl_group': '1536.408530821'}
  • id: 218110663
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 79855264615169692027561, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.go1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110664
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 355687555466897, 51347392813633605241, 6227383801, 51468686317767006736], 'label': '49152.nz.24.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110665
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51091297865491939320, 355687555466897, 6227383801, 51468686317767006736], 'label': '49152.nz.24.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110666
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 79804173321408021252503, 51468686323994390537, 256094954543232120], 'label': '49152.nz.24.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110667
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51090942171709819583, 256450635697132823, 79855520710124274813361, 324355645133275756879438, 51468686317767006736], 'label': '49152.nz.24.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110668
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 79855264615175958965040, 51468686317767006736, 404210787744874260309703, 355687555466897, 122002101738316800, 51091297859225006761], 'label': '49152.nz.24.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110669
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79855520710124274813361, 51468686317767006736, 51091297859225006761, 51468682220474400120], 'label': '49152.nz.24.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110670
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 378307680065293251167998, 79855520710124274813361, 7, 5167, 1313901388807, 256450635697132823, 51090942171709819583, 51468686317767006736, 122002101738316800], 'label': '49152.nz.24.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110671
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 79855520710124274813361, 51468686317767006736], 'label': '49152.nz.24.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.gw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HC', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110672
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 324355645133275756879438, 79855264615175958965040, 51468686317767006736, 355687555466897, 122002101738316800, 51091297859225006761], 'label': '49152.nz.24.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.gx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110673
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [6227383801, 40284840, 79804429416356203198102, 51347039915958369966, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 51091297859137536121, 404159696802696323860558, 216288449189794056862080], 'label': '49152.nz.8.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110674
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 79804173677095362257286, 40284840, 51468682220474400120, 7, 5167, 1313901388807, 79855520710124147788801, 122002101738316800, 51091297865364919680, 404159696445707448042823], 'label': '49152.nz.24.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.gy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110675
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110676
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 79855520710124147788801, 51091297865364919680, 79804173677095362257286, 51468682220474400120], 'label': '49152.nz.24.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ha1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110677
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51468686323994390537, 378099833485662857, 79855520710124147788801, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HH', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110678
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412265010257840, 79855520354430492688697, 378099833485662857, 6227383801, 51468682220474400120], 'label': '49152.nz.24.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HI', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110679
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 378099833485662857, 6227383801, 51468682220474400120], 'label': '49152.nz.24.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110680
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 51091297859225006761, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 79804429412258910619441, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.he1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110681
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 79804173321408021252503, 79855520710124147788801, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110682
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804173321408021252503, 79855520710124147788801, 6227383801], 'label': '49152.nz.24.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hgB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110683
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804173321408021252503, 25903229681850877411201, 6227383801], 'label': '49152.nz.24.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hgC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110684
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [6227383801, 40284840, 79804429772043678105600, 324355645133282071002952, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 51091297859137536121, 216288449189794056862080, 79804307767158414696256], 'label': '49152.nz.8.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110685
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 79855520710124147788801, 6227383801, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HO', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110686
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 355687555466897, 51091297859137536121, 79855264619267158788622, 79855520710124147788801, 79804429412265137277480], 'label': '49152.nz.24.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HP', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110687
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 40284840, 122002101738316800, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537, 51468682220474400120], 'label': '49152.nz.24.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110688
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 51091297859225006761, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51468686323994390537, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110689
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51468686323994390537, 378099833485662857, 79855520710124147788801, 79804429767952478282297, 51468682220474400120], 'label': '49152.nz.24.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110690
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 378099833485662857, 6354408361, 6227383801, 51468682220474400120, 51090942171836811023], 'label': '49152.nz.24.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110691
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 25903229683158464681647, 79855264615169692027561, 79855520710124147788801, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110692
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273385446423, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 122002101738316800, 1313901388807, 355687555466897, 51091297859225006761, 51468682220474400120], 'label': '49152.nz.24.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ho1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110693
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 5167, 25903229683158464681647, 79855264615169692027561, 79855520710124147788801, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110694
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 79804173321408021252503, 51468686323994390537, 6354408361, 51090942178023914897], 'label': '49152.nz.24.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HX', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110695
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6227383801, 40284840, 7, 5167, 1313901388807, 296092622151417309902662, 25903107681056726364847, 79855264619267158788622, 122002101778601640, 350258887261390557566032, 51091297859137536121, 51347395603299374776], 'label': '49152.nz.8.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.F', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110696
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79855520354430492688697, 79804173321408021252503, 79855520710124147788801, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110697
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 79855520710124147788801, 6227383801, 51468682220474400120], 'label': '49152.nz.24.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HZ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110698
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 6227383801, 6354408361, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ht1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110699
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 355687555466897, 79855264619267158788622, 6354408361, 79804429412265137277480], 'label': '49152.nz.24.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110700
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [51091297859137536121, 122002101738316800, 79804307771255881457280, 40284840, 5167, 25903229683158464681647, 404159696447015122773817, 79855520710124147788801, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.hv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110701
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 79855264619267158788622, 6227383801, 79855520710124147788801, 79804429767946211344583], 'label': '49152.nz.24.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ID', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110702
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 79855520710124274813361, 51468686317767006736, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.hx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IE', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110703
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 7, 79855520354430492688697, 5167, 1313901388807, 51468686317767006736, 79855520710124147788801, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.hy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110704
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 79855520710124147788801, 324355645133275756879438, 51468686317767006736, 51468682220474400120], 'label': '49152.nz.24.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.hz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110705
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 378099833485662857, 6227383801, 79855520710124147788801, 79804429767946211344583], 'label': '49152.nz.24.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ia1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IH', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110706
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40279687, 40284840, 79804429416356203198102, 51468682220474400120, 51347039915958369966, 7, 1313901393967, 51091297865491939320, 51091297859137536121, 355687555466897, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110707
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40284840, 79804429416356203198102, 216237357891941145984000, 324355645131974436556798, 51090942171836811023, 7, 5167, 1313901388807, 256094954543232120, 25903107681056726364847, 122002101778601640, 256453431677025847], 'label': '49152.nz.8.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110708
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 79855264619273385446423, 122002101738316800, 79855520710118048155560, 51468682220474400120, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 1313901388807, 7], 'label': '49152.nz.24.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ib1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.II', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110709
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804173321408021252503, 79855520710124147788801, 6227383801, 79804052027897573755440, 79804429767946211344583], 'label': '49152.nz.24.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ic1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110710
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79855520710124147788801, 6227383801, 51469042005282193921, 51468682220474400120], 'label': '49152.nz.24.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.id1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110711
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 79804429767946211344583, 79855520710124147788801, 122002101738316800], 'label': '49152.nz.24.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ie1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110712
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51468682226661504001, 79804173321408021252503, 79804429412265137277480, 51091297859225006761, 355693742571023], 'label': '49152.nz.24.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.if1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110713
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 79804429412258910619441, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ig1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110714
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79804173321414161198782, 6227383801, 79804308126943182182422, 79855264263579643601400], 'label': '49152.nz.24.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ih1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IO', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110715
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 40284840, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 79855264615169692027561, 79855520710124147788801, 324355645133275756879438, 1313901388807, 7], 'label': '49152.nz.24.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.ii1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110716
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 40284840, 122002101738316800, 5167, 1313901388807, 79804173321408021252503, 51468686323994390537, 256094954543232120, 51090942178023914897], 'label': '49152.nz.24.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ij1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110717
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412265010257840, 79855520354430492688697, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ik1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110718
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40284840, 51347039915958369966, 216237357891941145984000, 256094948356128001, 324355645133282071002952, 79804429416362429856143, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 355687555466897], 'label': '49152.nz.8.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.E', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110719
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 355687555466897, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.il1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110720
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 404159696447015122773817, 79855520710124147788801, 51091297865364919680, 79855264263579643601400], 'label': '49152.nz.24.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.im1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110721
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091301956644604817, 79855520710124147788801, 404159696445707448042823, 51091297865364919680, 79804429767946211344583], 'label': '49152.nz.24.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.in1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110722
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 25903229683158464681647, 404159696447015122773817, 79855520710124147788801, 51468686323994390537, 79855264259482351022783, 1313901388807, 7], 'label': '49152.nz.24.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.io1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110723
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 355687555466897, 51091297859137536121, 79855520710124147788801, 51468686317767006736, 79804429412265137277480], 'label': '49152.nz.24.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ip1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IW', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110724
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51468686317767006736, 79855520710124147788801, 404210787744874260309703, 51091297865364919680, 122002101738316800], 'label': '49152.nz.24.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.iq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110725
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51091297865491939320, 355687555466897, 6227383801, 79804308126943182182422], 'label': '49152.nz.24.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ir1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IY', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110726
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.IZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124147788801, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 79855264259488577680577], 'label': '49152.nz.24.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.is1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110727
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124147788801, 324355645133275756879438, 51091297865364919680, 51468686317767006736, 79855264259488577680577], 'label': '49152.nz.24.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.it1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110728
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 79855520710124274813361, 324355645133275756879438, 51468686317767006736, 51469037914042788503], 'label': '49152.nz.24.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.iu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110729
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40284840, 79804429416356203198102, 256094948356128001, 7, 5167, 1313901388807, 87465720, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 355687555466897, 256453431677025847], 'label': '49152.nz.8.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '8.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.O', 'subgroup_fusion': None, 'weyl_group': '1536.408529096'}
  • id: 218110730
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 79855520710124274813361, 51468686317767006736, 51468682220474400120, 51090942171836811023], 'label': '49152.nz.24.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.iv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JC', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110731
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 404210787744874260309703, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804052027903840693161, 79855520710124147788801, 51468686317767006736, 355693742571023], 'label': '49152.nz.24.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.iw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110732
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 256450635697132823, 40284840, 5167, 51468686317767006736, 25903229683158464681647, 51091297865491939320, 79804429412258910619441, 324355645133275756879438, 1313901388807, 7], 'label': '49152.nz.24.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.ix1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110733
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537, 51091297859225006761], 'label': '49152.nz.24.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.iy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110734
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804173321408021252503, 79855520710124147788801, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.iz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JG', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110735
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 79855520710124147788801, 122004885343996936, 404159696445707448042823, 51091297865364919680], 'label': '49152.nz.24.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ja1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110736
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79804429767952478282297, 378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 79855520710124147788801, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.jb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JI', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110737
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122773817, 79855520354430492688697, 79855520710124147788801, 122004885343996936, 51091297865364919680], 'label': '49152.nz.24.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.jc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110738
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79855520710124147788801, 6227383801, 79804308126943182182422, 79804429767946211344583], 'label': '49152.nz.24.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.jd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JK', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110739
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 378099833485662857, 6227383801, 79855520710124147788801, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.je1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110740
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 79804429772043678105600, 6227383806, 5167, 1313901388807, 350207795963537774438272, 25903107681056726364847, 79855520714221614578062, 122002101778601640, 51091297859137536121, 296092622151417269622982, 79804307767158414696263], 'label': '49152.nz.8.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110741
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 7, 404210787744874260309703, 122002101738316800, 40284840, 5167, 1313901388807, 256094954543232120, 79855520710124147788801, 51468686317767006736, 79804429767952478282297], 'label': '49152.nz.24.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.jf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110742
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [87465720, 122002101738316800, 40284840, 256094948356128001, 79804173321408021252503, 5167, 51090942171836811023, 25903229683158464681647, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.jg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JN', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110743
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 256094954543232120, 324355645133275756879438, 79855520710124147788801, 51468686317767006736, 79804429767952478282297], 'label': '49152.nz.24.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.jh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110744
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51091297865491939320, 79804429412258910619441, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.ji1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JP', 'subgroup_fusion': None, 'weyl_group': '384.20165'}
  • id: 218110745
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 79804173321408021252503, 256094954543232120, 79804429412265137277480, 51090942178023914897], 'label': '49152.nz.24.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110746
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 6354408361, 79804429412265137277480, 51468682220474400120, 51090942171836811023], 'label': '49152.nz.24.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110747
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 51091297865491939320, 79804173321408021252503, 6227383801, 51468682220474400120], 'label': '49152.nz.24.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jlB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110748
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804429412265010257840, 79804173321408021252503, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jlC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110749
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321414161198782, 79855520354430492688697, 122004885343996936, 404159696445707448042823, 51091297865364919680], 'label': '49152.nz.24.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.jm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110750
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273298729743, 7, 25903229683158464681647, 40284840, 122002101738316800, 5167, 1313901388807, 51091301956644604817, 404159696445707448042823, 51091297865364919680, 79804429767946211344583], 'label': '49152.nz.24.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.jn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110751
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40284840, 79804429416356203198102, 51090942171836811016, 5167, 1313901388807, 256094954543232127, 87465720, 216288449189794096416000, 25903107681056726364847, 122002101778601640, 324406735718452363492558, 256453431677025847], 'label': '49152.nz.8.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '8.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110752
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 51090942177936472457, 5167, 25903229683158464681647, 404159696447015122773817, 51468686323994390537, 79855264259482351022783, 1313901388807, 7], 'label': '49152.nz.24.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.jo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110753
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79804429767952478282297, 378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110754
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122773817, 79804173321414161198782, 79855520354430492688697, 122004885343996936, 51091297865364919680], 'label': '49152.nz.24.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.jq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110755
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.JZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273298729743, 122002101738316800, 51091301956644604817, 40284840, 51091297865364919680, 5167, 25903229683158464681647, 404159696447015122773817, 79804429767946211344583, 1313901388807, 7], 'label': '49152.nz.24.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.jr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110756
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79855264259482351022783, 51468686323994390537, 378099833485662857, 51090942177936472457, 404159696448490799706952], 'label': '49152.nz.24.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.js1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110757
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 79804173317316868591921, 79855264619267158788622, 79804429412265137277480, 79804429767946211344583], 'label': '49152.nz.24.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110758
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 79855520710118048155560, 378099839799763336, 40284840, 5167, 1313901388807, 355687555466897, 6227383801, 51468682220474400120], 'label': '49152.nz.24.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ju1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KC', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110759
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 378099833485662857, 6354408361, 6227383801, 51468682220474400120], 'label': '49152.nz.24.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KD', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110760
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 378099833485662857, 6354408361, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KE', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110761
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412265010257840, 355687555466897, 378099833485662857, 6227383801, 51468682220474400120], 'label': '49152.nz.24.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110762
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [79855520714221614578057, 40284840, 79804429772043678105600, 6227383806, 5167, 1313901388807, 350207795963537774438272, 25903107681056726364847, 122002101778601640, 51091297859137536121, 296092622151417269622982, 79804307767158414696263], 'label': '49152.nz.8.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110763
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 256094948356128001, 5167, 25903229683158464681647, 51091297865491939320, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KG', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110764
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 79855520354430492688697, 378099833485662857, 6227383801, 51468682220474400120], 'label': '49152.nz.24.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.jz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KH', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110765
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273385446423, 122002101738316800, 79855520710118048155560, 51468682220474400120, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 1313901388807, 7], 'label': '49152.nz.24.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ka1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KI', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110766
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122773817, 51091297859137536121, 6227383801, 79804307771255881457280, 377744152284576121], 'label': '49152.nz.24.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.kb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110767
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 79804307771255881457280, 377744152284576121, 1313901388807, 404159696448490799706952, 51091297859137536121, 122002101738316800], 'label': '49152.nz.24.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.kc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110768
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 51091297859137536121, 122004885343996936, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.kd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KL', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110769
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804173317316868591921, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ke1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110770
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 51468686323994390537, 51091297859225006761, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110771
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 79804429412258910619441, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KO', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110772
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804173321408021252503, 25903229681850877411201, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KP', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110773
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [79855520714221614578057, 40284840, 79804429772043678105600, 6227383806, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 51091297859137536121, 296092622151417269622982, 350207795963537774433352, 79804307767158414696263], 'label': '49152.nz.8.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110774
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412265010257840, 79804173321408021252503, 6227383801, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ki1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110775
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79804052027897573755440, 122002101738316800, 40284840, 79804173321408021252503, 5167, 25903229683158464681647, 51091297865491939320, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110776
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 51091297859137536121, 378095742333002280, 79855264619267158788622, 79804429412265137277480], 'label': '49152.nz.24.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110777
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51091297865491939320, 6227383801, 51469042005282193921, 51468682220474400120], 'label': '49152.nz.24.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110778
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 378095742333002280, 51091297859137536121, 51468686317767006736, 79804429767946211344583, 122002101738316800], 'label': '49152.nz.24.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.km1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110779
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 79804173321408021252503, 51468686323994390537, 51468682220474400120], 'label': '49152.nz.24.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110780
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 378099839799763336, 404159696445707448042823, 40284840, 51091297865364919680, 5167, 51090942171836811023, 25903229683158464681647, 79855264615169692027561, 1313901388807, 7], 'label': '49152.nz.24.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ko1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110781
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 256094954543232120, 6354408361, 79804429412265137277480, 355693742571023], 'label': '49152.nz.24.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110782
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 378099839799763336, 40284840, 51091297865364919680, 5167, 51090942171836811023, 25903229683158464681647, 404159696447015122773817, 79855264615169692027561, 1313901388807, 7], 'label': '49152.nz.24.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.kq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110783
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.KZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 79804173321408021252503, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.KZ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110784
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40284840, 79804429416356203198102, 51090942171836811016, 5167, 1313901388807, 324406735718452363497478, 256094954543232127, 25903107681056726364847, 216288449189794096416000, 87465727, 122002101778601640, 256453431677025847], 'label': '49152.nz.8.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '8.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110785
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 79804429412265010257840, 79804173321408021252503, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ks1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110786
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 25852138739672940943943, 51091297865491939320, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ktB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110787
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804429412265010257840, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ktC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LC', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110788
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 51090942177936472457, 5167, 25903229683158464681647, 404159696447015122773817, 51468686323994390537, 1313901388807, 79855264259488577680577, 7], 'label': '49152.nz.24.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ku1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110789
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 404159696445707448042823, 51091297865364919680, 79804052027897573755440, 51468686324081112377], 'label': '49152.nz.24.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.kv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110790
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 79804308126943182182422, 404159696445707448042823, 51091297865364919680, 377744146144658047], 'label': '49152.nz.24.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.kw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110791
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 324406735715669012582377, 51468686323994390537, 378099833485662857, 51090942177936472457, 79855264259488577680577], 'label': '49152.nz.24.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.kx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110792
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122773817, 355687555466897, 51091297865364919680, 79804052027897573755440, 51468686324081112377], 'label': '49152.nz.24.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ky1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110793
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804173321408021252503, 25903229681850877411201, 6227383801, 79804052027897573755440, 79804429767946211344583], 'label': '49152.nz.24.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.kz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LI', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110794
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 79855264615175958965040, 122002101738316800, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.la1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LJ', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110795
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '8.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40284840, 79804429416356203198102, 51090942171836811016, 5167, 1313901388807, 256094954543232127, 25903107681056726364847, 216288449189794096416000, 87465727, 122002101778601640, 324406735718452363492558, 256453431677025847], 'label': '49152.nz.8.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '8.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110796
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 404159696447015122773817, 79804308126943182182422, 51091297865364919680, 377744146144658047], 'label': '49152.nz.24.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.lb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110797
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79804173321414161198782, 6227383801, 51469042005282193921, 51468682220474400120], 'label': '49152.nz.24.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110798
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 79804429412265010257840, 378099833485662857, 6227383801, 51090942171836811023], 'label': '49152.nz.24.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ld1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110799
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79855264619273385446423, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 122002101738316800, 1313901388807, 256094954543232120, 51091297859225006761, 355693742571023], 'label': '49152.nz.24.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.le1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LN', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110800
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 377744152284576121, 1313901388807, 51091297859137536121, 79855264259482351022783, 122002101738316800, 404159696447015122773817], 'label': '49152.nz.24.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.lf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110801
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 377744152284576121, 1313901388807, 324406735715669012582377, 51091297859137536121, 79855264259482351022783, 122002101738316800], 'label': '49152.nz.24.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.lg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110802
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 51091297859137536121, 6227383801, 51468686317767006736, 79804429767946211344583], 'label': '49152.nz.24.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110803
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 25903485776792879141161, 25903229681850877411201, 7, 5167, 1313901388807, 79804173321408021252503, 355687555466897, 122002101738316800], 'label': '49152.nz.24.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.li1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110804
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 79855520354430492688697, 79804173321408021252503, 6227383801, 51468682220474400120], 'label': '49152.nz.24.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110805
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110806
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 79804429772043678105600, 7, 5167, 1313901388807, 2796019446976, 51091297859137536121, 355687555466897, 122002101738316800], 'label': '49152.nz.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218110807
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 122002101738316800, 40284840, 79804173321408021252503, 5167, 51468682226661504001, 25903229683158464681647, 79804429412265137277480, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ll1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110808
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51468682226661504001, 79804173321408021252503, 6354408361, 79804429412265137277480, 355693742571023], 'label': '49152.nz.24.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110809
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51468686323994390537, 378099833485662857, 79804429767952478282297, 51091297859225006761, 51468682220474400120], 'label': '49152.nz.24.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ln1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110810
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 79855520710117960689840, 51468682226661504001, 25903229683158464681647, 51468686323994390537, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110811
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 25903229683158464681647, 79855264615169692027561, 79804429767946211344583, 6227383801, 1313901388807, 6354408361, 7], 'label': '49152.nz.24.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110812
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.LZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.LZ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110813
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378095742333002280, 122002101738316800, 79855520710118048155560, 40284840, 79855264619267158788622, 5167, 51090942171836811023, 25903229683158464681647, 79804429412265137277480, 1313901388807, 7], 'label': '49152.nz.24.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110814
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 5167, 25903229683158464681647, 79855264615169692027561, 79804173321414161198782, 355687555466897, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ls1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MB', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110815
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 378099833485662857, 6354408361, 6227383801, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MC', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110816
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 122002101738316800, 79855264619273385446423, 1313901388807, 355687555466897, 51468682220474400120], 'label': '49152.nz.24.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MD', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110817
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6227383801, 40279687, 51468682220474400120, 79804429772043678105600, 1313941673647, 25903229681844523013167, 7, 5167, 2796019446976, 51091297859137536121, 216288449189794056862080, 355687555466897, 122000787836928007], 'label': '49152.nz.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110818
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682226661504001, 51090942171836811023, 7, 5167, 1313901388807, 87465720, 51091300655156983097, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': '28920.t'}
  • id: 218110819
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ME', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804429412258910619441, 324355645133275756879438, 51468686317767006736, 355693655133503, 51469037914042788503], 'label': '49152.nz.24.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.lv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110820
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804429412258910619441, 378099833485662857, 6354408361, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110821
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378307680065293251167998, 51469037914042788503, 122002101738316800, 40284840, 5167, 51468686317767006736, 25903229683158464681647, 355693655133503, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.lx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110822
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51090942178023914897, 51468686317767006736, 79804052027897573755440, 404210787744874260309703, 122002101738316800, 51091297859225006761], 'label': '49152.nz.24.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ly1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110823
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 51091297859225006761, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 79804429412258910619441, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.lz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MI', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110824
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 324355645133275756879438, 51090942178023914897, 51468686317767006736, 79804052027897573755440, 122002101738316800, 51091297859225006761], 'label': '49152.nz.24.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ma1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110825
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 79804173321408021252503, 25903229681850877411201, 6227383801], 'label': '49152.nz.24.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110826
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ML', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429412265010257840, 51468682220474400120, 7, 5167, 1313901388807, 79804173321408021252503, 355687555466897, 122002101738316800], 'label': '49152.nz.24.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ML', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110827
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79804173321414161198782, 355687555466897, 6227383801, 79804308126943182182422], 'label': '49152.nz.24.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.md1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MM', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110828
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 79855264619267158788622, 5167, 51347392813633605241, 25903229683158464681647, 79804429412265137277480, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.me1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110829
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79855142970069409840696, 7, 79855520358534139670520, 5167, 1313901388807, 79804429416356203198097, 51091297859137536121, 122002101738316800, 378359027103720864090817], 'label': '49152.nz.12.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.C', 'subgroup_fusion': None, 'weyl_group': '28920.t'}
  • id: 218110830
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 79804173321408021252503, 51468686323994390537, 6354408361, 51090942171836811023], 'label': '49152.nz.24.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.mf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MO', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110831
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79855520710117960689840, 7, 404210787744874260309703, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 355687555466897, 79855264615175958965040, 51468686317767006736], 'label': '49152.nz.24.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.mg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110832
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 256450635697132823, 40284840, 5167, 51468686317767006736, 25903229683158464681647, 355693655133503, 79804429412258910619441, 324355645133275756879438, 1313901388807, 7], 'label': '49152.nz.24.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.mh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110833
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [404159696448490799706952, 122002101738316800, 256450635697132823, 40284840, 5167, 51468686317767006736, 25903229683158464681647, 355693655133503, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.mi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110834
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79855520710118048155560, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 355687555466897, 378095742333002280, 6227383801, 51468686317767006736], 'label': '49152.nz.24.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110835
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79855520710124274813361, 122002101738316800, 256450635697132823, 40284840, 5167, 51468686317767006736, 25903229683158464681647, 355693655133503, 324355645133275756879438, 1313901388807, 7], 'label': '49152.nz.24.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.mk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110836
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 79855520710124274813361, 51468686317767006736, 51468682220474400120], 'label': '49152.nz.24.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ml1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MU', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110837
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378307680065293251167998, 79855520710124274813361, 122002101738316800, 256450635697132823, 40284840, 5167, 51468686317767006736, 25903229683158464681647, 355693655133503, 1313901388807, 7], 'label': '49152.nz.24.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.mm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110838
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 25903229681850877411201, 6227383801, 51468682220474400120], 'label': '49152.nz.24.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110839
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520354430492688697, 79804173321408021252503, 25903229681850877411201, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110840
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 79804429772043678105600, 51090942177936472457, 7, 5167, 1313901388807, 404159696448490799706952, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.D', 'subgroup_fusion': None, 'weyl_group': '10000.dm'}
  • id: 218110841
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 6354408361, 51091297865364919680, 51090942171836811023], 'label': '49152.nz.24.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.mp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110842
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.MZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 79804173677095362257286, 40284840, 79804429412265010257840, 51468682220474400120, 7, 5167, 1313901388807, 122002101738316800, 51091297865364919680, 404159696445707448042823], 'label': '49152.nz.24.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.mq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.MZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110843
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 256094954543232120, 6354408361, 79804429412265137277480, 51090942171836811023], 'label': '49152.nz.24.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110844
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [378099833485662857, 51091297859225006761, 122002101738316800, 40284840, 5167, 25903229683158464681647, 404159696447015122773817, 51468686323994390537, 1313901388807, 79855264259488577680577, 7], 'label': '49152.nz.24.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ms1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110845
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 6354408361, 79804308126943182182422, 404159696445707448042823, 51091297865364919680, 377744146144658047], 'label': '49152.nz.24.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.mt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110846
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ND', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 79804429412265010257840, 79855520354430492688697, 122004885343996936, 51091297865364919680], 'label': '49152.nz.24.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.mu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110847
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 79855520710117960689840, 25903229683158464681647, 404159696447015122773817, 51468686323994390537, 79855264259482351022783, 1313901388807, 7], 'label': '49152.nz.24.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.mv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110848
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 79855264615169692027561, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110849
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79804308126943182182422, 122002101738316800, 79855520710118048155560, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.mx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NG', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110850
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51091297865491939320, 6227383801, 79804308126943182182422, 79855264263579643601400], 'label': '49152.nz.24.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.my1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NH', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110851
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 355693742571023, 7, 5167, 1313901388807, 79855520358527959449721, 51091297865491939320, 404210922197505431903856, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110852
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51347392813633605241, 6227383801, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.mz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NI', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110853
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 51091297865491939320, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.na1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110854
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 79855264615169692027561, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.nb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110855
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51468686317767006736, 404210787744874260309703, 51091297865364919680, 122002101738316800, 51091297859225006761], 'label': '49152.nz.24.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.nc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110856
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 51091297865491939320, 355687555466897, 79855264619267158788622, 79804429412265137277480], 'label': '49152.nz.24.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.nd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110857
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 6354408361, 7, 5167, 1313901388807, 79804052027897573755440, 355687555466897, 378099833485662857, 122002101738316800], 'label': '49152.nz.24.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ne1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110858
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51468686317767006736, 324406735719760038223312, 122002101738316800, 51091297865364919680, 51091297859225006761], 'label': '49152.nz.24.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.nf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110859
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 79855520710117960689840, 40284840, 5167, 1313901388807, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 79855264259488577680577], 'label': '49152.nz.24.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ng1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110860
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 79855520710117960689840, 40284840, 5167, 1313901388807, 324355645133275756879438, 51091297865364919680, 51468686317767006736, 79855264259488577680577], 'label': '49152.nz.24.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.nh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110861
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297865491939320, 51091297859137536121, 79855264259482351022783, 122002101738316800, 404159696447015122773817], 'label': '49152.nz.24.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ni1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110862
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 6354408361, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 122002101738316800], 'label': '49152.nz.12.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.F', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110863
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 51091297859137536121, 79855264619267158788622, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.nj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NS', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110864
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 6354408361, 7, 5167, 1313901388807, 324355645133275756879438, 51468686317767006736, 51469037914042788503, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.nk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110865
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79855520710124274813361, 324355645133275756879438, 51468686317767006736, 355693655133503, 51469037914042788503], 'label': '49152.nz.24.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.nl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110866
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79804429412258823148801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 256094954543232120, 79804429767952478282297, 51468686317767006736, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.nm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110867
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79855264615169692027561, 25903229683158464681647, 40284840, 51090942171836811023, 7, 5167, 1313901388807, 51091297865491939320, 51468686317767006736, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.nn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110868
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 51091297859225006761, 122002101738316800, 51468682220474400120, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.no1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110869
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 40284840, 256094948356128001, 79804173321408021252503, 5167, 51090942171836811023, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.np1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110870
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.NZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51090942178023914897, 122002101738316800, 40284840, 256094948356128001, 79804173321408021252503, 5167, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.nq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.NZ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110871
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124274813361, 51468686317767006736, 51091297859225006761, 51468682220474400120, 355693742571023], 'label': '49152.nz.24.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.nr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110872
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79855520710124274813361, 7, 5167, 1313901388807, 404159696448490799706952, 51468686317767006736, 51469037914042788503, 122002101738316800], 'label': '49152.nz.24.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.ns1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110873
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 355693742571023, 7, 5167, 1313901388807, 79855520358527959449721, 51091297865491939320, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110874
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 256094954543232120, 324355645133275756879438, 51468686317767006736, 79804429767952478282297, 79804429412258823148801], 'label': '49152.nz.24.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.nt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110875
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 324355645133275756879438, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.nu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110876
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51090942178023914897, 256094954543232120, 122002101738316800, 40284840, 79804173321408021252503, 5167, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.nv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OE', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110877
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [79855520710124274813361, 256094954543232120, 122002101738316800, 40284840, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 51091297865491939320, 1313901388807, 7], 'label': '49152.nz.24.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.nw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OF', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110878
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 79855520710117960689840, 5167, 40284840, 1313901388807, 324355645133275756879438, 51468686317767006736, 51090942178023914897, 79804052027897573755440], 'label': '49152.nz.24.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.nx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110879
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 355693742571023, 7, 5167, 1313901388807, 79804052027903840693161, 87465720, 51468686317767006736, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.ny1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110880
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 355693742571023, 7, 5167, 1313901388807, 324355645133275756879438, 79804052027903840693161, 87465720, 51468686317767006736, 122002101738316800], 'label': '49152.nz.24.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.nz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110881
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 51091297859225006761, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51468686323994390537, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.oa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110882
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 79804429412265010257840, 404159696445707448042823, 51091297865364919680, 79855264263579643601400], 'label': '49152.nz.24.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.ob1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110883
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79804429767952478282297, 378099833485662857, 122002101738316800, 40284840, 5167, 79855520710117960689840, 51468682226661504001, 25903229683158464681647, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.oc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OL', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110884
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 355693742571023, 7, 5167, 1313901388807, 324355645133275756879438, 79855520358527959449721, 51091297865491939320, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110885
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 404159696447015122773817, 79804429412265010257840, 51091297865364919680, 79855264263579643601400], 'label': '49152.nz.24.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.od1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110886
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ON', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 378099833485662857, 6354408361, 6227383801, 51468682220474400120], 'label': '49152.nz.24.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.oe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ON', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110887
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 79804429412258910619441, 355687555466897, 1313901388807, 6354408361, 7], 'label': '49152.nz.24.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.of1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OO', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110888
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 51091297859225006761, 122002101738316800, 40284840, 5167, 25903229683158464681647, 79855264615169692027561, 51468686323994390537, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.og1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OP', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110889
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804429412265010257840, 79804173321408021252503, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.oh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OQ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110890
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 25903485776792879141161, 40284840, 1313901388807, 51091297865491939320, 79804173321408021252503, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.oi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110891
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 25852138739672940943943, 51091297865491939320, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ojB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OS', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110892
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 25903485776792879141161, 40284840, 5167, 1313901388807, 25852138739672940943943, 79804429412265010257840, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ojC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110893
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520714215300454543, 6354408361, 404159696445707448042823, 51091297865364919680, 51469042005282193921], 'label': '49152.nz.24.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ok1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110894
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 79855520714215300454543, 6354408361, 51091297865364919680, 51469042005282193921], 'label': '49152.nz.24.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ol1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110895
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 256094948356128001, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 355687555466897, 122002101738316800], 'label': '49152.nz.12.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.I', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110896
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804173321408021252503, 25903229681850877411201, 6227383801, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.om1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110897
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 355687555466897, 51091297859137536121, 79855264619267158788622, 79804429412265137277480], 'label': '49152.nz.24.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.on1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OX', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110898
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537, 6354408361, 51468682220474400120], 'label': '49152.nz.24.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.oo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OY', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110899
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.OZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [378099833485662857, 256094954543232120, 122002101738316800, 40284840, 5167, 51090942171836811023, 25903229683158464681647, 79804429412258910619441, 1313901388807, 6354408361, 7], 'label': '49152.nz.24.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.op1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.OZ', 'subgroup_fusion': None, 'weyl_group': '384.20165'}
  • id: 218110900
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 25903485776792879141161, 25903229681850877411201, 7, 79855520354430492688697, 5167, 1313901388807, 79804173321408021252503, 122002101738316800], 'label': '49152.nz.24.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.oq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110901
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537, 256094954543232120, 6354408361], 'label': '49152.nz.24.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.or1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PB', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110902
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 6354408361, 7, 5167, 1313901388807, 79855264615175958965040, 51468686317767006736, 404210787744874260309703, 355687555466897, 122002101738316800], 'label': '49152.nz.24.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.os1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110903
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 6354408361, 7, 5167, 1313901388807, 324355645133275756879438, 79855264615175958965040, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ot1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110904
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 25903229681850877411201, 6227383801], 'label': '49152.nz.24.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ou1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PE', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110905
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 355687555466897, 79804173321408021252503, 51468686323994390537, 6354408361], 'label': '49152.nz.24.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ov1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PF', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110906
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 51090942177936472457, 7, 5167, 1313901388807, 51091297859137536121, 350207917965801288271417, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110907
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 79804429412265137277480, 51091297865491939320, 51091297859137536121, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ow1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PG', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110908
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124274813361, 6354408361, 51468686317767006736, 51468682220474400120, 51090942171836811023], 'label': '49152.nz.24.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ox1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PH', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110909
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 256450635697132823, 79855520710124274813361, 6354408361, 324355645133275756879438, 51468686317767006736], 'label': '49152.nz.24.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.oy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110910
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412265010257840, 355687555466897, 79804173321408021252503, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.oz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110911
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79804429767952478282297, 378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.pa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PK', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110912
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 324355645133275756879438, 51091297865364919680, 51468686317767006736, 51469037914042788503, 79855520354430619685057], 'label': '49152.nz.24.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.pb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110913
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804429412265010257840, 378099833485662857, 6227383801, 51468682220474400120, 51090942171836811023], 'label': '49152.nz.24.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.pc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110914
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 51469037914042788503, 79855520354430619685057], 'label': '49152.nz.24.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.pd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110915
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 51469037907815404937, 5167, 1313901388807, 79855520354436847063703, 51468686317767006736, 324406735719760038223312, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.pe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110916
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 51468682220474400120, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 79804429767946211344583, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.pf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PP', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110917
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 51090942177936472457, 7, 5167, 1313901388807, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110918
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 51469037907815404937, 5167, 1313901388807, 324355645133275756879438, 79855520354436847063703, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.pg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110919
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264619273385446423, 122002101738316800, 79855520710118048155560, 51468682220474400120, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ph1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PR', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110920
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 355687555466897, 51091297859137536121, 378095742333002280, 6227383801, 79855264619267158788622], 'label': '49152.nz.24.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.pi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PS', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110921
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804173317316868591921, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 122002101738316800, 404159696447015122773817], 'label': '49152.nz.24.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.pj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110922
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804173317316868591921, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.24.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.pk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110923
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 79855520354430492688697, 79804173321408021252503, 6227383801, 79804052027897573755440], 'label': '49152.nz.24.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.pl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110924
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 79804173321414161198782, 6227383801, 79804308126943182182422, 79804429767946211344583], 'label': '49152.nz.24.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.pm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PW', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110925
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51090942177936472457, 7, 51469037907815404937, 5167, 1313901388807, 51468686317767006736, 324406735719760038223312, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.pn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110926
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 324355645133275756879438, 51091297865364919680, 51468686317767006736, 79855520354430619685057, 79855264259488577680577], 'label': '49152.nz.24.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.po1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110927
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.PZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 79855520354430619685057, 79855264259488577680577], 'label': '49152.nz.24.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.pp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.PZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110928
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40279687, 51468682220474400120, 1313941673647, 6354408361, 25903229681844523013167, 7, 5167, 51090942178023914897, 79855520358527959449721, 216288449189794056862080, 324406735719760038223312, 79804429767952438728377, 122000787836928007], 'label': '49152.nz.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110929
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 51090942177936472457, 7, 5167, 1313901388807, 404159696448490799706952, 51091297859137536121, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110930
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 51091297865364919680, 51468686317767006736, 79855520354430619685057, 79855264259488577680577, 404159696448490799706952], 'label': '49152.nz.24.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.pq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110931
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [79855520354430619685057, 25903229683158464681647, 40284840, 79855264259488577680577, 378307680065293251167998, 7, 5167, 1313901388807, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.pr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110932
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 378095742333002280, 51091297859137536121, 51468686317767006736, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.24.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ps1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110933
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 79804173317316868591921, 79855264619267158788622, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.pt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QD', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110934
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 256094954543232120, 324355645133275756879438, 51468686317767006736, 79804429767952478282297], 'label': '49152.nz.24.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.pu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110935
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 7, 79855520354430492688697, 5167, 1313901388807, 51091297865491939320, 51468686317767006736, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.pv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110936
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 404210787744874260309703, 25903229683158464681647, 5167, 40284840, 1313901388807, 79804052027903840693161, 51468686317767006736, 79804429412258823148801, 355693742571023], 'label': '49152.nz.24.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.pw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110937
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429412265010257840, 7, 5167, 1313901388807, 324355645133275756879438, 51090942178023914897, 51468686317767006736, 79804052027897573755440, 122002101738316800], 'label': '49152.nz.24.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.px1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110938
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 324406735718452363492558, 79804429412258910619441, 378095742333002280, 51091297865364919680, 51468686317767006736], 'label': '49152.nz.24.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.py1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110939
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 7, 5167, 1313901388807, 378095742333002280, 79804429412265137277480, 51091297859137536121, 51468686317767006736, 79804429767946211344583, 122002101738316800], 'label': '49152.nz.24.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.pz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QJ', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110940
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79804429772043678105600, 51090942177936472457, 7, 5167, 1313901388807, 51091297859137536121, 122002101738316800, 378359027103720864090817, 51468685016319664696], 'label': '49152.nz.12.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110941
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412258910619441, 378095742333002280, 324406735719760038223312, 51091297865364919680, 51468686317767006736], 'label': '49152.nz.24.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.qa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110942
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 79855520710124274813361, 7, 5167, 1313901388807, 51090942178023914897, 51091297865491939320, 51468686317767006736, 122002101738316800], 'label': '49152.nz.24.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.qb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QL', 'subgroup_fusion': None, 'weyl_group': '384.20165'}
  • id: 218110943
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412265010257840, 355687555466897, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.qc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110944
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 79855520354430492688697, 79804173321408021252503, 6227383801], 'label': '49152.nz.24.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.qd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110945
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 404210787744867905934697, 25903229683158464681647, 79855264615169692027561, 51468686323994390537, 355693742571023, 1313901388807, 7], 'label': '49152.nz.24.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110946
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 51091297865364919680, 51468686324081112377, 51090942171836811023], 'label': '49152.nz.24.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110947
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 79804173677095362257286, 40284840, 51468682220474400120, 79855264619273298729743, 7, 5167, 1313901388807, 122002101738316800, 51091297865364919680, 404159696445707448042823], 'label': '49152.nz.24.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.qg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110948
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [324355645133282071002952, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 51468686323994390537, 378099833485662857, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.qh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110949
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 404159696445707448042823, 51091297865364919680, 79804052027897573755440], 'label': '49152.nz.24.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110950
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [378099833485662857, 122002101738316800, 40284840, 5167, 25903229683158464681647, 51091297865491939320, 404159696447015122773817, 51468686323994390537, 1313901388807, 79855264259488577680577, 7], 'label': '49152.nz.24.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110951
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 358483400731441, 7, 51091300648883134096, 5167, 1313901388807, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110952
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 404159696447015122773817, 79855520714215300454543, 51091297865364919680, 51469042005282193921], 'label': '49152.nz.24.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110953
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 378099839799763336, 5167, 1313901388807, 404159696447015122773817, 79855520714215300454543, 51091297865364919680, 51469042005282193921], 'label': '49152.nz.24.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ql1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110954
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804308126943182182422, 404159696445707448042823, 51091297865364919680, 51468686324081112377, 377744146144658047], 'label': '49152.nz.24.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110955
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79855264619273298729743, 7, 25903229683158464681647, 40284840, 122002101738316800, 5167, 1313901388807, 404159696447015122773817, 79855520354430492688697, 122004885343996936, 51091297865364919680], 'label': '49152.nz.24.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.qn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110956
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091301956644604817, 79804173321414161198782, 404159696445707448042823, 51091297865364919680, 79804429767946211344583], 'label': '49152.nz.24.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.qo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110957
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.QZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 378099839799763336, 1313901388807, 355687555466897, 404159696445707448042823, 51091297865364919680, 79804052027897573755440], 'label': '49152.nz.24.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.QZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110958
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [378099833485662857, 79855264615175958965040, 122002101738316800, 40284840, 5167, 404210787744867905934697, 25903229683158464681647, 51468686323994390537, 355687555466897, 1313901388807, 7], 'label': '49152.nz.24.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.qq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110959
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79804429767952478282297, 378099833485662857, 324355645133282071002952, 122002101738316800, 40284840, 5167, 51468682226661504001, 25903229683158464681647, 51468686323994390537, 1313901388807, 7], 'label': '49152.nz.24.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.qr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110960
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 404159696447015122773817, 79804173321414161198782, 51091297865364919680, 79855264263579643601400], 'label': '49152.nz.24.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.qs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110961
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 51469037914042788503, 51090942177936472457], 'label': '49152.nz.24.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.qt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110962
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 6354408361, 7, 5167, 1313901388807, 324355645133275756879438, 51090942178023914897, 51091300655156983097, 122002101738316800], 'label': '49152.nz.12.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110963
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 256450635697132823, 79804429412258910619441, 51091297865364919680, 51468686317767006736, 404210787746356251348472], 'label': '49152.nz.24.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.qu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110964
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865364919680, 51468686317767006736, 79804429767952478282297, 51468682220474400120, 324406735719766352351998], 'label': '49152.nz.24.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.qv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110965
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865364919680, 51468686317767006736, 404159696447008768393663, 355693742571023], 'label': '49152.nz.24.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.qw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110966
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 5167, 1313901388807, 79804429412265010257840, 355687555466897, 378099833485662857, 6227383801], 'label': '49152.nz.24.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.qx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RH', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110967
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 7, 122002101738316800, 40284840, 5167, 1313901388807, 355687555466897, 51091297859137536121, 79804173317316868591921, 51468686317767006736, 79804429412265137277480], 'label': '49152.nz.24.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.qy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RI', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110968
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 79855520710118048155560, 40284840, 5167, 1313901388807, 355687555466897, 6227383801, 51468686317767006736, 51468682220474400120], 'label': '49152.nz.24.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.qz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RJ', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110969
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 256450635697132823, 40284840, 51091297865364919680, 5167, 51468686317767006736, 25903229683158464681647, 404210787747663965633158, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ra1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110970
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 256450635697132823, 79804429412258910619441, 51091297865364919680, 51468686317767006736, 324355645131974436556798], 'label': '49152.nz.24.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110971
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [324355645133282071002952, 7, 25903229683158464681647, 40284840, 122002101738316800, 5167, 1313901388807, 256450635697132823, 79804429412258910619441, 51091297865364919680, 51468686317767006736], 'label': '49152.nz.24.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110972
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 51091297859137536121, 79855264619267158788622, 79804429412265137277480, 51468682220474400120], 'label': '49152.nz.24.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.rd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RN', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110973
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 51091300648883134096, 5167, 1313901388807, 324355645133275756879438, 79855520358527959449721, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110974
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297859137536121, 79855264619267158788622, 79804429412265137277480, 51468682220474400120, 79804429767946211344583], 'label': '49152.nz.24.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.re1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RO', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110975
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 256094948356128001, 40284840, 79855520710118048155560, 5167, 1313901388807, 355687555466897, 6227383801, 51468686317767006736], 'label': '49152.nz.24.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RP', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110976
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865364919680, 51468686317767006736, 79804429767952478282297, 404210787744867905934697, 51468682220474400120], 'label': '49152.nz.24.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110977
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865364919680, 51468686317767006736, 79804429767952478282297, 404159696447008768393663, 51468682220474400120], 'label': '49152.nz.24.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110978
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855264615169692027561, 25903229683158464681647, 40284840, 355693742571023, 324355645133282071002952, 7, 5167, 1313901388807, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ri1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110979
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865364919680, 51468686317767006736, 355693742571023, 324406735719766352351998], 'label': '49152.nz.24.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110980
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 51091297859137536121, 79855264619267158788622, 79804429412265137277480], 'label': '49152.nz.24.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.rk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110981
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 79855520710118048155560, 1313901388807, 6227383801, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RV', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110982
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51469037907815404937, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 79855520354430619685057], 'label': '49152.nz.24.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.rm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110983
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [324406735719760038223312, 122002101738316800, 40284840, 51091297865364919680, 5167, 51347392813633605241, 51468686317767006736, 25903229683158464681647, 79804429412258910619441, 1313901388807, 7], 'label': '49152.nz.24.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.rn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110984
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 355687555466897, 122002101738316800], 'label': '49152.nz.12.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Q', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218110985
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 404210787746356251348472, 7, 51469037907815404937, 5167, 1313901388807, 51468686317767006736, 122002101738316800, 51091297865364919680, 79804429412258910619441], 'label': '49152.nz.24.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ro1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110986
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.RZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412258910619441, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 51090942177936472457], 'label': '49152.nz.24.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.rp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.RZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110987
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 51091297865491939320, 51468686317767006736, 404210787744874260309703, 51091297865364919680, 122002101738316800], 'label': '49152.nz.24.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110988
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 7, 5167, 1313901388807, 79855520354436847063703, 51468686317767006736, 324406735719760038223312, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110989
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79855264615175958965040, 51091297865364919680, 51468686317767006736, 404210787744867905934697], 'label': '49152.nz.24.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110990
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [378099839799763336, 7, 25903229683158464681647, 79855520710118048155560, 122002101738316800, 40284840, 5167, 1313901388807, 355687555466897, 6227383801, 79804308126943182182422], 'label': '49152.nz.24.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SD', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218110991
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 324406735719760038223312, 51091297865364919680, 51468686317767006736, 79855264259488577680577], 'label': '49152.nz.24.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ru1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110992
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 51091297865491939320, 324355645133275756879438, 51091297865364919680, 51468686317767006736, 79855264259488577680577], 'label': '49152.nz.24.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110993
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 51090942177936472457, 7, 5167, 1313901388807, 51468686317767006736, 324406735719760038223312, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110994
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 51090942177936472457, 7, 5167, 1313901388807, 404159696448490799706952, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110995
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 51091300648883134096, 5167, 1313901388807, 79855520358527959449721, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110996
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79855264259488577680577, 51090942177936472457, 7, 5167, 1313901388807, 324406735715669012582377, 51468686317767006736, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ry1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110997
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 355687555466897, 79855264615175958965040, 51091297865364919680, 51468686317767006736, 324406735719766352351998], 'label': '49152.nz.24.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.rz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110998
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [404159696447008768393663, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 79855264615175958965040, 51468686317767006736, 355687555466897, 122002101738316800, 51091297865364919680], 'label': '49152.nz.24.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.sa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218110999
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [324355645133282071002952, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 355687555466897, 79855264615175958965040, 51091297865364919680, 51468686317767006736], 'label': '49152.nz.24.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.sb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111000
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 79855264615169692027561, 25903229683158464681647, 5167, 40284840, 1313901388807, 355687555466897, 51091297859137536121, 6227383801, 404210787744867905934697], 'label': '49152.nz.24.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.sc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111001
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 324355645133282071002952, 7, 5167, 1313901388807, 51091297859137536121, 122002101738316800, 79855264263579643601400], 'label': '49152.nz.24.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.sd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111002
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 7, 5167, 79804173321414161198782, 1313901388807, 51091297859137536121, 355687555466897, 122002101738316800], 'label': '49152.nz.24.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.se1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SO', 'subgroup_fusion': None, 'weyl_group': '384.20165'}
  • id: 218111003
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 378099839799763336, 1313901388807, 404159696447015122773817, 79855264259482351022783, 51091297859137536121, 6227383801], 'label': '49152.nz.24.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.sf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111004
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297859137536121, 6227383801, 79804308126943182182422, 51469042005282193921, 404210787744867905934697], 'label': '49152.nz.24.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.sg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111005
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [51091297859137536121, 122002101738316800, 79804307771255881457280, 40284840, 5167, 25903229683158464681647, 404159696447015122773817, 79804173321414161198782, 6227383801, 1313901388807, 7], 'label': '49152.nz.24.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.sh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SR', 'subgroup_fusion': None, 'weyl_group': '10000.dm'}
  • id: 218111006
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 51091300648883134096, 5167, 1313901388807, 79855520358527959449721, 404210922197505431903856, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111007
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [324355645133282071002952, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 51091297859137536121, 122004885343996936, 6227383801, 79804429767946211344583], 'label': '49152.nz.24.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '24.si1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SS', 'subgroup_fusion': None, 'weyl_group': '28920.t'}
  • id: 218111008
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.ST', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 404210787746356251348472, 7, 51469037907815404937, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 122002101738316800], 'label': '49152.nz.24.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.sj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ST', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111009
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 79855520710118048155560, 1313901388807, 355687555466897, 51468686317767006736, 79804429412265137277480, 51468682220474400120], 'label': '49152.nz.24.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.sk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SU', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111010
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 79855520710118048155560, 40284840, 256094948356128001, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 79804429412265137277480, 1313901388807, 7], 'label': '49152.nz.24.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.sl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SV', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111011
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 355687555466897, 122002101738316800], 'label': '49152.nz.24.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.sm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SW', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111012
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 79855520354436847063703, 51091297859137536121, 51468686317767006736, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.24.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.sn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111013
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [324355645129178376835057, 6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 79855264259482351022783, 122002101738316800], 'label': '49152.nz.24.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.so1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111014
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.SZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 404210787746356251348472, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 79855264259482351022783, 122002101738316800], 'label': '49152.nz.24.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.sp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.SZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111015
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 324355645133282071002952, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 79855264259482351022783, 122002101738316800], 'label': '49152.nz.24.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.sq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111016
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 79855264259482351022783, 122002101738316800, 404210787744867905934697], 'label': '49152.nz.24.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.sr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111017
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 359791074731520, 7, 51091300648883134096, 5167, 1313901388807, 79855520358527959449721, 122002101738316800, 378359027103720864090817, 51468685016319664696], 'label': '49152.nz.12.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111018
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297859137536121, 51468686317767006736, 355687555466897, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ss1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TC', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111019
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297859137536121, 79804429412258910619441, 404159696802696323860558, 6227383801, 51468686317767006736], 'label': '49152.nz.24.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.st1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111020
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 256094954543232120, 324355645133275756879438, 51468686317767006736, 79804429767952478282297], 'label': '49152.nz.24.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.su1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111021
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 79804429412258823148801, 40284840, 5167, 51090942171836811023, 51468686317767006736, 25903229683158464681647, 79855264615169692027561, 324355645133275756879438, 1313901388807, 7], 'label': '49152.nz.24.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.sv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TF', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218111022
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 355693742571023, 7, 5167, 1313901388807, 256094954543232120, 51468686317767006736, 324406735719766352351998, 122002101738316800, 79804429412258910619441], 'label': '49152.nz.24.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.sw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111023
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79804429412258910619441, 51468686317767006736, 51468682220474400120, 324406735719766352351998, 51090942171836811023], 'label': '49152.nz.24.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.sx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TH', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218111024
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [324355645133282071002952, 7, 25903229683158464681647, 256094948356128001, 40284840, 122002101738316800, 5167, 1313901388807, 79804429412258910619441, 51468686317767006736, 51090942178023914897], 'label': '49152.nz.24.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.sy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111025
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 355693742571023, 79855520710124274813361, 7, 5167, 1313901388807, 51468686317767006736, 324406735719766352351998, 122002101738316800], 'label': '49152.nz.24.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.sz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111026
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 51091297865491939320, 79855520710124274813361, 324355645133275756879438, 51468686317767006736, 51469037914042788503], 'label': '49152.nz.24.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.ta1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111027
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124274813361, 51468686317767006736, 51091297859225006761, 51468682220474400120, 51090942171836811023], 'label': '49152.nz.24.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.tb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TL', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111028
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.E', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 7, 5167, 1313901388807, 79804429416356203198097, 2796019446976, 51091297865491939320, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.U', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111029
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124274813361, 256094954543232120, 51468686317767006736, 324406735719766352351998, 51090942171836811023], 'label': '49152.nz.24.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.tc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111030
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 7, 79855520354430492688697, 5167, 1313901388807, 87465720, 51468686317767006736, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.td1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TN', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218111031
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 122002101738316800, 256450635697132823, 40284840, 5167, 51468686317767006736, 25903229683158464681647, 79804429412258910619441, 324355645133275756879438, 1313901388807, 7], 'label': '49152.nz.24.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '24.te1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TO', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218111032
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429412265010257840, 7, 5167, 1313901388807, 79855264615175958965040, 51468686317767006736, 404210787744874260309703, 355687555466897, 122002101738316800], 'label': '49152.nz.24.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.tf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111033
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 324355645133282071002952, 51468682226661504001, 79855520710124274813361, 7, 5167, 1313901388807, 51090942178023914897, 51468686317767006736, 122002101738316800], 'label': '49152.nz.24.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.tg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111034
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 40284840, 1313901388807, 256450635697132823, 79855520710124274813361, 324355645133275756879438, 51468686317767006736, 51091297859225006761], 'label': '49152.nz.24.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.th1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111035
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [324355645133282071002952, 7, 25903229683158464681647, 256094948356128001, 40284840, 122002101738316800, 5167, 1313901388807, 355687555466897, 79855520710124274813361, 51468686317767006736], 'label': '49152.nz.24.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '24.ti1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111036
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [122002101738316800, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 1313901388807, 51091297865491939320, 355687555466897, 79804173321408021252503, 51468686323994390537], 'label': '49152.nz.24.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.tj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111037
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [87465720, 7, 25903229683158464681647, 5167, 256094948356128001, 40284840, 122002101738316800, 1313901388807, 355687555466897, 79804429412258910619441, 378099833485662857], 'label': '49152.nz.24.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.tk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TU', 'subgroup_fusion': None, 'weyl_group': '384.20165'}
  • id: 218111038
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79855264615169692027561, 25903229683158464681647, 51091299166812266887, 40284840, 355693742571023, 7, 5167, 51091297865491939320, 51468686317767006736, 404210787744874260309703, 122002101738316800], 'label': '49152.nz.24.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.E', 'old_label': '24.tl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TV', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111039
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40279687, 1313941673647, 25903229681844523013167, 51090942171836811023, 7, 5167, 256094954543232120, 87465720, 79855520358527959449721, 216288449189794056862080, 324406735718452363492558, 79804429767952438728377, 122000787836928007], 'label': '49152.nz.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111040
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 358483400731441, 79804429772043678105600, 7, 5167, 1313901388807, 51091300655070243137, 324406735719760038223312, 122002101738316800, 51091297865364919680, 51468685016319664696], 'label': '49152.nz.12.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111041
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79855264615169692027561, 25903229683158464681647, 51091299166812266887, 40284840, 355693742571023, 404210665744086423386863, 7, 5167, 51091297865491939320, 51468686317767006736, 122002101738316800], 'label': '49152.nz.24.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.E', 'old_label': '24.tm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TW', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111042
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855264615169692027561, 6227383801, 25903229683158464681647, 357001456855702, 40284840, 7, 5167, 51091297859137536121, 122002101738316800, 51091299166939286527, 404159696447015122773817], 'label': '49152.nz.24.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Y', 'old_label': '24.tn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TX', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111043
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855264615169692027561, 6227383801, 25903229683158464681647, 357001456855702, 40284840, 404159575157602142042737, 7, 5167, 51091297859137536121, 122002101738316800, 51091299166939286527], 'label': '49152.nz.24.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Y', 'old_label': '24.to1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TY', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111044
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.TZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51090943485738199816, 79855520710124274813361, 7, 5167, 256094954543232120, 87465720, 324355523132487919956358, 51468686317767006736, 122002101738316800], 'label': '49152.nz.24.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.tp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.TZ', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111045
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1313988854527, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 79855520710124274813361, 324355523132487919956358, 256094954543232120, 51468686317767006736, 51090943485738199816], 'label': '49152.nz.24.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.tq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UA', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111046
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1313988854527, 7, 25903229683158464681647, 122002101738316800, 40284840, 5167, 79855520710124274813361, 324355645133275756879438, 256094954543232120, 51468686317767006736, 51090943485738199816], 'label': '49152.nz.24.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.tr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UB', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111047
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855264615169692027561, 25903229683158464681647, 51091299166812266887, 40284840, 355693742571023, 7, 5167, 51468686317767006736, 404210787744874260309703, 51091299166939286527, 122002101738316800], 'label': '49152.nz.24.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.E', 'old_label': '24.ts1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UC', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111048
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [79855264615169692027561, 6227383801, 25903229683158464681647, 357001456855702, 40284840, 7, 5167, 51091297865491939320, 51091297859137536121, 122002101738316800, 404159696447015122773817], 'label': '49152.nz.24.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Y', 'old_label': '24.tt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UD', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111049
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 1313941673647, 1313901388800, 5167, 51090943479383819662, 51091297859137536121, 51468686317767006736, 79855264259482351022783, 122002101738316800, 404159696447015122773817], 'label': '49152.nz.24.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.J', 'old_label': '24.tu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UE', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111050
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 51090942177976757057, 7, 5167, 51469037907815404937, 1313901388807, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468686317727457976], 'label': '49152.nz.24.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.N', 'old_label': '24.tv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UF', 'subgroup_fusion': None, 'weyl_group': '512.6338984'}
  • id: 218111051
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 7, 5167, 1313901388807, 51091297859137536121, 79855520354436847063696, 324406735719760038223312, 122002101738316800, 51468685016319664696, 79804429412258910619441], 'label': '49152.nz.12.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111052
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 1313941673647, 404159575157602142042737, 51090942177936472457, 1313901388800, 5167, 51091297859137536121, 51468686317767006736, 79855264259482351022783, 122002101738316800], 'label': '49152.nz.24.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.J', 'old_label': '24.tw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UG', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111053
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 1313941673647, 51090942177936472457, 1313901388800, 5167, 51091297859137536121, 51468686317767006736, 79855264259482351022783, 122002101738316800, 404159696447015122773817], 'label': '49152.nz.24.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.J', 'old_label': '24.tx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UH', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111054
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 51090942177936472457, 7, 51469037907815404937, 5167, 1313901388807, 51091297859137536121, 350207661516473305423319, 122002101738316800, 51468686317727457976], 'label': '49152.nz.24.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.N', 'old_label': '24.ty1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UI', 'subgroup_fusion': None, 'weyl_group': '512.6338984'}
  • id: 218111055
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 51090942177936472457, 7, 5167, 51469037907815404937, 1313901388807, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468686317727457976], 'label': '49152.nz.24.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.N', 'old_label': '24.tz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UJ', 'subgroup_fusion': None, 'weyl_group': '512.6338984'}
  • id: 218111056
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 51468682220474400120, 1313941673647, 1313901388800, 5167, 79855520711425595136006, 51091297859137536121, 122002101738316800, 404159696447015122773817, 79855264263579643601400], 'label': '49152.nz.24.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BS', 'old_label': '24.ua1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UK', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111057
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 1313901388800, 1313941673647, 5167, 404159696447015122773817, 51091297859137536121, 79855520710124147788801, 6227383801, 79855264263579643601400, 51468682220474400120], 'label': '49152.nz.24.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BS', 'old_label': '24.ub1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UL', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111058
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 1313941673647, 25903229683158464681647, 1313901388800, 5167, 51091297859137536121, 79855520710124147788801, 6227383801, 79855264263579643601400, 404159575157602142042737, 51468682220474400120], 'label': '49152.nz.24.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BS', 'old_label': '24.uc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UM', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111059
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [122002101738316800, 79855264615169692027561, 25903229683158464681647, 1313901388800, 1313941673647, 5167, 404159696447015122773817, 51468686323994390537, 378099833485662857, 356995189918216, 51091299173126395566], 'label': '49152.nz.24.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.DE', 'old_label': '24.ud1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UN', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111060
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855264615169692027561, 356995189918216, 25903229683158464681647, 1313941673647, 1313901388800, 51468686323994390537, 5167, 378099833485662857, 122002101738316800, 404159696447015122773817, 51091297859225006761], 'label': '49152.nz.24.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.DE', 'old_label': '24.ue1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UO', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111061
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 79855264615169692027561, 25903229683158464681647, 1313901388800, 1313941673647, 5167, 51468686323994390537, 378099833485662857, 356995189918216, 51091297859225006761, 404159575157602142042737], 'label': '49152.nz.24.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.DE', 'old_label': '24.uf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UP', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111062
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51468685010052726977, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 5167, 1313901388807, 355687555466897, 122002101738316800, 51091297865364919680, 378359027103720864090817, 51091297859225006761], 'label': '49152.nz.12.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111063
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 404210787744874260309703, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124147788806, 51468686317767006743, 51091297865364919680, 79804429767952478282297, 51468682220474400120], 'label': '49152.nz.24.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.ug1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UQ', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111064
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122773817, 51091297859137536121, 6227383806, 122004885343996936, 79855520710124147788806, 79804429767946211344576], 'label': '49152.nz.24.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CK', 'old_label': '24.uh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UR', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111065
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.US', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51090942171836811016, 5167, 1313901388807, 324355645133275756879438, 256094954543232127, 87465720, 51468686317767006736, 122002101738316800, 79855520710124274813366], 'label': '49152.nz.24.US', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.ui1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.US', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111066
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 404210787744874260309703, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124147788801, 51468686317767006743, 51091297865364919680, 79804429767952478282297, 51468682220474400120], 'label': '49152.nz.24.UT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.uj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UT', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111067
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 404210787744874260314863, 40284840, 5167, 1313901388807, 79855520710124147788801, 51468686317767006743, 51091297865364919680, 79804429767952478282297, 51468682220474400120], 'label': '49152.nz.24.UU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.uk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UU', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111068
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6227383806, 51091297859137536121, 122002101738316800, 79804429767946211344576, 40284840, 5167, 25903229683158464681647, 404159696447015122773817, 79855520710124147788801, 122004885343996936, 1313901388807], 'label': '49152.nz.24.UV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CK', 'old_label': '24.ul1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UV', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111069
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 5167, 40284840, 1313901388807, 404159696447015122778737, 51091297859137536121, 6227383806, 122004885343996936, 79855520710124147788801, 79804429767946211344576], 'label': '49152.nz.24.UW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CK', 'old_label': '24.um1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UW', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111070
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51090942171836811016, 5167, 1313901388807, 324355645133275756879438, 256094954543232127, 87465727, 51468686317767006736, 122002101738316800, 79855520710124274813366], 'label': '49152.nz.24.UX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.un1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UX', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111071
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 87465727, 5167, 40284840, 1313901388807, 324355645133275756884358, 79855520710124274813366, 256094954543232127, 51468686317767006736, 51090942171836811016], 'label': '49152.nz.24.UY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.uo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UY', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111072
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.UZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 404210787744874260314863, 40284840, 5167, 1313901388807, 79855520710124147788801, 51091297865364919680, 51468686317767006736, 79804429767952478282302, 51468682220474400120], 'label': '49152.nz.24.UZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.up1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.UZ', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111073
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79855142970069409840696, 7, 5167, 1313901388807, 51091297865491939320, 51091297859137536121, 355687555466897, 122002101738316800, 378359027103720864090817], 'label': '49152.nz.12.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111074
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 51091297859137536121, 6227383806, 79855520710124147788801, 122004885343996943, 79804429767946211344583], 'label': '49152.nz.24.VA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CK', 'old_label': '24.uq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VA', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111075
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51090942171836811023, 5167, 1313901388807, 256094954543232120, 324355645133275756879438, 87465727, 51468686317767006736, 122002101738316800, 79855520710124274813366], 'label': '49152.nz.24.VB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.ur1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VB', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111076
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 404210787744874260314863, 40284840, 5167, 1313901388807, 79855520710124147788806, 51091297865364919680, 51468686317767006736, 79804429767952478282302, 51468682220474400120], 'label': '49152.nz.24.VC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.us1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VC', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111077
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [122002101738316800, 404210787744874260309703, 25903229683158464681647, 40284840, 5167, 1313901388807, 79855520710124147788806, 51091297865364919680, 51468686317767006736, 79804429767952478282302, 51468682220474400120], 'label': '49152.nz.24.VD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CF', 'old_label': '24.ut1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VD', 'subgroup_fusion': None, 'weyl_group': '512.7540510'}
  • id: 218111078
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [122002101738316800, 25903229683158464681647, 40284840, 5167, 1313901388807, 404159696447015122773817, 51091297859137536121, 6227383806, 79855520710124147788806, 122004885343996943, 79804429767946211344583], 'label': '49152.nz.24.VE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CK', 'old_label': '24.uu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VE', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111079
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 6227383806, 79855520710124147788806, 5167, 1313901388807, 122004885343996943, 404159696447015122778737, 51091297859137536121, 79804429767946211344583, 122002101738316800], 'label': '49152.nz.24.VF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CK', 'old_label': '24.uv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VF', 'subgroup_fusion': None, 'weyl_group': '512.6344809'}
  • id: 218111080
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 25903229683158464681647, 122002101738316800, 40284840, 5167, 1313901388807, 256094954543232120, 79855520710124274813366, 324355645133275756879438, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.VG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.uw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VG', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111081
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [87465720, 25903229683158464681647, 5167, 40284840, 122002101738316800, 1313901388807, 256094954543232120, 79855520710124274813366, 324355645133275756884358, 51468686317767006736, 51090942171836811023], 'label': '49152.nz.24.VH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CN', 'old_label': '24.ux1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VH', 'subgroup_fusion': None, 'weyl_group': '512.10482065'}
  • id: 218111082
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24.VI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 64, 'contained_in': None, 'contains': None, 'core': '49152.a1', 'coset_action_label': '24T15166', 'count': 768, 'diagramx': None, 'generators': [25852273190834622703927, 40284840, 7, 5167, 25903229683152237297846, 1313901388807, 25903229327471083397182, 51468686317767006736, 25852138385299327145526, 25852138385293146947767, 122002101738316800], 'label': '49152.nz.24.VI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BU', 'old_label': '24.uy1', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.VI', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 218111083
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 25903107681056726364847, 122002101778601640, 7, 5167, 1313901388807, 51090942171709819583, 216288449189794056862080, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.A', 'subgroup_fusion': None, 'weyl_group': '768.1090071'}
  • id: 218111084
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 404159696448490799706952, 79855520358527959449721, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111085
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [355693655133503, 40284840, 79804429772049905489401, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 51091300655156983097, 216288449189794056862080], 'label': '49152.nz.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.B', 'subgroup_fusion': None, 'weyl_group': '768.1090071'}
  • id: 218111086
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 25903107681056726364847, 122002101778601640, 7, 5167, 1313901388807, 51091300648883134096, 79855520710124235259441, 216288449189794056862080, 51468685016319664696], 'label': '49152.nz.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': '768.1090071'}
  • id: 218111087
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [6227383801, 296092756956952431278663, 40284840, 378307935805868040655417, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 51091297859137536121], 'label': '49152.nz.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.E', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.D', 'subgroup_fusion': None, 'weyl_group': '1536.408639927'}
  • id: 218111088
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [79855520710118048155567, 122002101778601640, 7, 256097737934455096, 25903107681056726364847, 40284840, 5167, 1313901388807, 216288449189794056862080, 51091300655070243137], 'label': '49152.nz.32.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.E', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.E', 'subgroup_fusion': None, 'weyl_group': '768.1090070'}
  • id: 218111089
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40284840, 25903107681056726364847, 122002101778601640, 7, 5167, 1313901388807, 256094954543232120, 216288449189794056862080, 79855520358527872737961, 51090942171836811023], 'label': '49152.nz.32.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.F', 'old_label': '32.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.F', 'subgroup_fusion': None, 'weyl_group': '384.18221'}
  • id: 218111090
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40284840, 324355645129178376830137, 7, 5167, 1313901388807, 79855520710124235259441, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 51468685016319664696], 'label': '49152.nz.32.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '32.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.G', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111091
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40284840, 324355645129178376830137, 7, 5167, 1313901388807, 79804429416356203198097, 25903107681056726364847, 122002101778601640, 79804173672998109232577, 216288449189794056862080], 'label': '49152.nz.32.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.K', 'old_label': '32.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.H', 'subgroup_fusion': None, 'weyl_group': '768.1090049'}
  • id: 218111092
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [324355645133282071002952, 122002101778601640, 7, 216237357891941145984000, 25903107681056726364847, 40284840, 5167, 1313901388807, 79804429772049905489401, 51091300655156983097], 'label': '49152.nz.32.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '32.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.I', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111093
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40284840, 324355645131974436556798, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 79855520358527959449721, 79804429767952438728377, 216237357891934919326201], 'label': '49152.nz.32.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '32.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.J', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111094
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [87465720, 122002101778601640, 7, 25903107681056726364847, 40284840, 5167, 1313901388807, 79804173672998109232577, 79804429416356203198097, 216288449189794056862080], 'label': '49152.nz.32.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.K', 'old_label': '32.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.K', 'subgroup_fusion': None, 'weyl_group': '384.18123'}
  • id: 218111095
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 7, 79855520358534139670520, 5167, 1313901388807, 79804429416356203198097, 2796019446976, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BA', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111096
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [2795932702096, 40284840, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 256097744201392577, 216288449189794056862080, 79804429412258910619441], 'label': '49152.nz.32.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.L', 'old_label': '32.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.L', 'subgroup_fusion': None, 'weyl_group': '384.584'}
  • id: 218111097
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [79804429772043591388920, 40284840, 256094948356128001, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 216288449189794056862080, 355687555466897], 'label': '49152.nz.32.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.M', 'old_label': '32.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.M', 'subgroup_fusion': None, 'weyl_group': '384.18223'}
  • id: 218111098
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [40284840, 51468682220474400120, 7, 79855520358534139670520, 5167, 1313901388807, 51090942178023914897, 25903107681056726364847, 122002101778601640, 216288449189794056862080], 'label': '49152.nz.32.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.N', 'old_label': '32.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.N', 'subgroup_fusion': None, 'weyl_group': '384.584'}
  • id: 218111099
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [40284840, 79804429772049858331561, 355693742571023, 51468682226661504001, 7, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 216288449189794056862080], 'label': '49152.nz.32.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.O', 'old_label': '32.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.O', 'subgroup_fusion': None, 'weyl_group': '384.584'}
  • id: 218111100
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '3072.B', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1313901393967, 25903107681056726364847, 122002101778601640, 1313988854527, 40284840, 256094954543232120, 216288449189794056862080, 79855520358527959449721, 79804429767952438728377, 51090942171836811023], 'label': '49152.nz.32.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.P', 'old_label': '32.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.P', 'subgroup_fusion': None, 'weyl_group': '384.18236'}
  • id: 218111101
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1313901393967, 25903107681056726364847, 122002101778601640, 1313988859440, 40284840, 79804429769253886070417, 256094954543232120, 216288449189794056862080, 79855520358527959454646, 51090942171836811023], 'label': '49152.nz.32.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.Q', 'old_label': '32.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Q', 'subgroup_fusion': None, 'weyl_group': '384.18236'}
  • id: 218111102
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [79855520357226512102526, 40284840, 51090942171836811023, 79804429767952438723222, 1313901393967, 256094954543232120, 87465720, 25903107681056726364847, 122002101778601640, 216288449189794056862080], 'label': '49152.nz.32.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.R', 'subgroup_fusion': None, 'weyl_group': '768.1090139'}
  • id: 218111103
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '3072.B', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [87470647, 25903107681056726364847, 122002101778601640, 1313901393967, 40284840, 79855520357226512107441, 79804429769253886075582, 256094954543232120, 216288449189794056862080, 51090942171836811023], 'label': '49152.nz.32.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.S', 'old_label': '32.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.S', 'subgroup_fusion': None, 'weyl_group': '384.18236'}
  • id: 218111104
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [1313901393967, 25903107681056726364847, 122002101778601640, 40284840, 324406614430347057492472, 51091299173038924926, 79804429412258910619441, 6227388726, 51468686317767011903, 216288449189794056862080], 'label': '49152.nz.32.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.T', 'old_label': '32.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.T', 'subgroup_fusion': None, 'weyl_group': '768.1088660'}
  • id: 218111105
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [40284840, 1313901393967, 79855520358527959454646, 51090942171836815936, 25903107681056726364847, 122002101778601640, 256096255990579327, 79804429767952438728377, 216237357891934919326201, 324355523131186599623638], 'label': '49152.nz.32.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.U', 'subgroup_fusion': None, 'weyl_group': '1536.408640178'}
  • id: 218111106
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 404159696449798473717118, 79855520358527959449721, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111107
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40284840, 5167, 1313901388807, 25903107681056726364847, 51090942171709819583, 404159696448490799706952, 122002101778601640, 79855520358527959449721, 216237614342576803562896, 79804429767952438728377], 'label': '49152.nz.32.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '32.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.V', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111108
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 404159696448490799711872, 5167, 1313901388807, 25903107681056726364847, 51090942171709819576, 122002101778601640, 79855520358527959449721, 216237614342576803562896, 79804429767952438728377], 'label': '49152.nz.32.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '32.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.W', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111109
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 5167, 1313901388807, 25903107681056726364847, 51090942171709819576, 404159696448490799706952, 122002101778601640, 79855520358527959449721, 216237614342576803562896, 79804429767952438728377], 'label': '49152.nz.32.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.A', 'old_label': '32.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.X', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111110
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [378307680065293251167998, 51091300655156983097, 355693655133496, 40284840, 5167, 79804429772049905489406, 216237614342570616459022, 1313901388807, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.32.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '32.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Y', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111111
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [355693655133503, 40284840, 378307680065293251162838, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 216237614342570616459022, 51091300655156983097, 79804429772049905489406], 'label': '49152.nz.32.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '32.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Z', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111112
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [355693655133503, 40284840, 378307680065293251167998, 5167, 1313901388807, 25903107681056726364847, 122002101778601640, 216237614342570616459022, 51091300655156983097, 79804429772049905489406], 'label': '49152.nz.32.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.B', 'old_label': '32.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BA', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111113
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40284840, 378358905098842001493712, 5167, 51091300648883134103, 1313901388807, 79855520710124235259441, 25903107681056726364847, 122002101778601640, 296092756956952470832583, 51468685016319664703], 'label': '49152.nz.32.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '32.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BB', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111114
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 378358905098842001493712, 51091300648883134096, 5167, 1313901388807, 79855520710124235259441, 25903107681056726364847, 122002101778601640, 296092756956952470832583, 51468685016319664703], 'label': '49152.nz.32.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '32.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BC', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111115
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [40284840, 25903107681056726364847, 122002101778601640, 5167, 1313901388807, 51091300648883134096, 79855520710124235259441, 296092756956952470832583, 378358905098842001498872, 51468685016319664703], 'label': '49152.nz.32.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.C', 'old_label': '32.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BD', 'subgroup_fusion': None, 'weyl_group': '1536.408639928'}
  • id: 218111116
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [6227383801, 51091297859137536126, 40284840, 5167, 1313901388807, 25903107681056726364847, 79855520714221614578062, 122002101778601640, 350207917965801288271417, 216288826929848961388942], 'label': '49152.nz.32.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.E', 'old_label': '32.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BE', 'subgroup_fusion': None, 'weyl_group': '1536.408639927'}
  • id: 218111117
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [355693655133503, 25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 404159696448490799706952, 79855520358527959449721, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111118
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [79855520714221614578057, 25903107681056726364847, 122002101778601640, 40284840, 5167, 1313901388807, 350207917965801288271417, 216288826929848961388942, 51091297859137536126, 6227383801], 'label': '49152.nz.32.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.E', 'old_label': '32.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BF', 'subgroup_fusion': None, 'weyl_group': '1536.408639927'}
  • id: 218111119
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [79855520714221614578057, 6227383801, 51091297859137536126, 40284840, 5167, 1313901388807, 350207917965801288276337, 25903107681056726364847, 122002101778601640, 216288826929848961388942], 'label': '49152.nz.32.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.E', 'old_label': '32.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BG', 'subgroup_fusion': None, 'weyl_group': '1536.408639927'}
  • id: 218111120
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40284840, 25903107681056726364847, 122002101778601640, 5167, 1313901388807, 51091297859137536121, 6227383801, 216288449189794096416000, 2796019446976, 79804429772043678105600], 'label': '49152.nz.32.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '32.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111121
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [51090942171836811016, 79804429767952438728377, 40284840, 5167, 256094954543232127, 216288449189794096416000, 79855520358527959449721, 1313901388807, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.32.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '32.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111122
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [40284840, 25903107681056726364847, 122002101778601640, 87465727, 5167, 1313901388807, 79804173672998109232577, 79804429416356203198097, 324406735715669012577217, 216288449191276214474183], 'label': '49152.nz.32.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.K', 'old_label': '32.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BJ', 'subgroup_fusion': None, 'weyl_group': '768.1090049'}
  • id: 218111123
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [87465720, 25903107681056726364847, 122002101778601640, 5167, 40284840, 1313901388807, 79804173672998109232577, 79804429416356203198097, 324406735715669012577217, 216288449191276214474183], 'label': '49152.nz.32.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.K', 'old_label': '32.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BK', 'subgroup_fusion': None, 'weyl_group': '768.1090049'}
  • id: 218111124
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [87465720, 25903107681056726364847, 122002101778601640, 5167, 40284840, 1313901388807, 79804173672998109232577, 79804429416356203198097, 324406735715669012582377, 216288449191276214474183], 'label': '49152.nz.32.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.K', 'old_label': '32.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BL', 'subgroup_fusion': None, 'weyl_group': '768.1090049'}
  • id: 218111125
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1313988859447, 122002101778601640, 25903107681056726364847, 40284840, 324406735718452363497478, 79855520357226512107441, 79804429769253886075582, 256094954543232127, 216288449189794096416000, 51090943485738199823], 'label': '49152.nz.32.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BM', 'subgroup_fusion': None, 'weyl_group': '1536.408640178'}
  • id: 218111126
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [1313988859447, 122002101778601640, 25903107681056726364847, 40284840, 79855520357226512107441, 79804429769253886075582, 256094954543232127, 242089374986507324062080, 324406614429039382761478, 51090943485738199823], 'label': '49152.nz.32.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BN', 'subgroup_fusion': None, 'weyl_group': '1536.408640178'}
  • id: 218111127
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 128, 'diagramx': None, 'generators': [87465720, 122002101778601640, 25903107681056726364847, 40284840, 79855520357226512102526, 242089374986507324062080, 79804429767952438723222, 256096255990584247, 324406614429039382756558, 51090943485738204736], 'label': '49152.nz.32.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.P', 'old_label': '32.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BO', 'subgroup_fusion': None, 'weyl_group': '1536.408640178'}
  • id: 218111128
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 355693655133503, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 324406735719760038223312, 122002101738316800], 'label': '49152.nz.12.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111129
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '3072.C', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [6227383801, 51468682220474400120, 1313941673647, 7, 1313901393960, 25903107681056726364847, 242089374986507363616000, 122002101778601640, 51091297859137536121, 355687555466897], 'label': '49152.nz.32.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.I', 'old_label': '32.bp1', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BP', 'subgroup_fusion': None, 'weyl_group': '1536.408530821'}
  • id: 218111130
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '32.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1313901388800, 25903107681056726364847, 122002101778601640, 2789792789177, 1313941673647, 1313901393960, 79855520354430492688697, 216288449189794056862080, 51090942178023914897, 51468682220474400120], 'label': '49152.nz.32.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.O', 'old_label': '32.bq1', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BQ', 'subgroup_fusion': None, 'weyl_group': '1536.408529096'}
  • id: 218111131
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '48.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 51468682226661504001, 79804429772049905489401, 51091300655156983097, 355693742571023], 'label': '49152.nz.48.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.A', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111132
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '48.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40279687, 122002101778601640, 7, 25903107681056726364847, 40284840, 1313901393967, 79855520358527959449721, 51090942178023914897, 79804429767952438728377, 51468682220474400120], 'label': '49152.nz.48.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.B', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111133
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '48.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 122002101778601640, 7, 25903107681056726364847, 40284840, 1313901393967, 51091297859137536121, 79804429412258910619441, 6227383801, 51468685016319664696], 'label': '49152.nz.48.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.C', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111134
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '48.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 40284840, 51090942171836811023, 7, 256094954543232120, 1313901393967, 25903107681056726364847, 122002101778601640, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.48.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.D', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111135
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '48.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 256094948356128001, 40284840, 1313901393967, 79804429772049905489401, 355687555466897, 51091300655156983097], 'label': '49152.nz.48.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.E', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111136
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '96.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 51090942171709819583, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.96.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.A', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111137
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '96.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40279687, 40284840, 6354408361, 7, 79804429416362390302223, 1313901393967, 25903107681056726364847, 122002101778601640, 79855142970075596944577], 'label': '49152.nz.96.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.B', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111138
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '96.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 51091300648883134096, 79855520710124235259441, 51468685016319664696], 'label': '49152.nz.96.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.C', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111139
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [355693655133503, 25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 79855520358527959449721, 79804429767946211344576, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111140
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '96.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '96.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 79855520714221614578057, 40284840, 1313901393967, 51091297859137536121, 6227383801], 'label': '49152.nz.96.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.D', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111141
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '96.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.E', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [87465720, 25903107681056726364847, 122002101778601640, 7, 40279687, 40284840, 1313901393967, 79804173672998109232577, 79804429416356203198097], 'label': '49152.nz.96.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.E', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 218111142
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '192.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 51091297859137536121, 6227383801], 'label': '49152.nz.192.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.A', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 218111143
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '192.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 79855520710124235259441, 51468685016319664696], 'label': '49152.nz.192.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.B', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111144
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '192.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.E', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 79804173672998109232577, 79804429416356203198097], 'label': '49152.nz.192.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.C', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 218111145
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '192.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 79804429772049905489401, 51091300655156983097], 'label': '49152.nz.192.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.D', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111146
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '192.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.192.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.E', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111147
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '192.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79804429767952438728377, 40279687, 40284840, 51090942171709819583, 79855520358527959449721, 1313901393960, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.192.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.F', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111148
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '192.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 1313901393960, 40284840, 51090943485611203216, 79855520358527959449721, 79804429767952438728377], 'label': '49152.nz.192.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '192.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.G', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111149
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '384.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.E', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967, 79804429416356250384137], 'label': '49152.nz.384.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.A', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 218111150
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6227383801, 296092756956952431278663, 40279687, 1313941673647, 25903229681844523013167, 79855142970069409840696, 7, 5167, 79804429416356203198097, 51091297865491939320, 51091297859137536121, 122000787836928007, 378359027103720864090817], 'label': '49152.nz.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111151
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 79855142974166702419320, 40284840, 7, 5167, 1313901388807, 79804429416356203198097, 2796019446976, 51091297865491939320, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BF', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111152
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '384.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '384.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [79804429767952438728377, 40279687, 40284840, 79855520358527959449721, 1313901393960, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.384.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.B', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111153
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '768.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 25903107681056726364847, 122002101778601640, 7, 40284840, 1313901393967], 'label': '49152.nz.768.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111154
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '768.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '768.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '768.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40284840, 25903107681056726364847, 122002101778601640, 1313901393967, 79855520710124274813366, 51468685016280110776], 'label': '49152.nz.768.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.B', 'subgroup_fusion': None, 'weyl_group': '768.1090235'}
  • id: 218111155
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '768.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.E', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 40284840, 79804429416356250384137, 1313901393960, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.768.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.C', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 218111156
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '768.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.E', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '768.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 40284840, 79804429415054803041862, 1313901393960, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.768.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.D', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 218111157
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '1536.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1536.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 40284840, 1313901393960, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.1536.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111158
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '3072.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '3072.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [122002101738321967, 122000787877207687, 25903107682370587473960, 25903229683158424396800], 'label': '49152.nz.3072.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111159
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '3072.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40284840, 1313901393967, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.3072.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.B', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111160
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '3072.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '3072.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40279687, 1313901393960, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.3072.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.c1.N', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.C', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111161
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6144.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '6144.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [122002101738321967, 25903229683158464681647, 122000787836933160], 'label': '49152.nz.6144.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.A', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111162
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 6354408361, 51468682226661504001, 7, 5167, 1313901388807, 324355645133275756879438, 51090942178023914897, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111163
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '6144.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '6144.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40284840, 122002101778601640, 25903107681056726364847], 'label': '49152.nz.6144.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6144.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6144.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6144.B', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111164
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12288.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [122000787877207687, 25903107682370587473960], 'label': '49152.nz.12288.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.A', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 218111165
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12288.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '12288.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [122002101738321967, 25903107682370627748487], 'label': '49152.nz.12288.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.b1.N', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.B', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111166
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12288.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '12288.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [122002101778601640, 25903107681056726364847], 'label': '49152.nz.12288.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12288.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '12288.c1.N', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12288.C', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 218111167
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '16384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '49152.a1', 'coset_action_label': None, 'count': 1024, 'diagramx': None, 'generators': [270189514824746517475320], 'label': '49152.nz.16384.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16384.a1', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 218111168
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '24576.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24576.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [25903229683158464681647], 'label': '49152.nz.24576.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24576.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24576.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24576.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 218111169
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '49152.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '49152.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '49152.nz.49152.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '49152.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '49152.a1.N', 'projective_image': '49152.nz', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49152.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 218111170
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 2796019446976, 51091297865491939320, 51091297859137536121, 355687555466897, 122002101738316800], 'label': '49152.nz.12.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BH', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111171
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 51090942171836811023, 7, 5167, 1313901388807, 87465720, 79855520358527959449721, 2796019446976, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BI', 'subgroup_fusion': None, 'weyl_group': '512.356671'}
  • id: 218111172
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 355693742571023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111173
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.E', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 256094948356128001, 7, 5167, 1313901388807, 324355645133275756879438, 51091300655156983097, 355687555466897, 122002101738316800, 51091297859225006761], 'label': '49152.nz.12.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.F', 'old_label': '12.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111174
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 51090942177936472457, 7, 5167, 1313901388807, 404159696448490799706952, 79855520358527959449721, 79804429767946211344576, 122002101738316800], 'label': '49152.nz.12.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111175
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.D', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 51468682220474400120, 7, 5167, 1313901388807, 79804429416356203198097, 2796019446976, 51091297865491939320, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BM', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111176
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '48.A', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 79855142974166702419320, 7, 79855520358534139670520, 5167, 1313901388807, 79804429416356203198097, 2796019446976, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BN', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111177
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111178
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.D', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40279687, 79804429772049905489401, 1313941673647, 216237357891941145984000, 6354408361, 256094948356128001, 25903229681844523013167, 7, 5167, 324355645133275756879438, 51091300655156983097, 355687555466897, 122000787836928007], 'label': '49152.nz.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.E', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111179
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 51090944961501849601, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 5167, 1313901388807, 404159696448490799706952, 51091297859137536121, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111180
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 51090944961501849601, 25903229683158464681647, 40284840, 79804429772043678105600, 7, 5167, 1313901388807, 51091297859137536121, 324406735719760038223312, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111181
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 51468682220474400120, 355693742571023, 7, 5167, 1313901388807, 87465720, 79855520358527959449721, 2796019446976, 324406735718452363492558, 122002101738316800], 'label': '49152.nz.12.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.K', 'old_label': '12.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111182
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 51090944961501849601, 25903229683158464681647, 40284840, 51468682220474400120, 79804429772043678105600, 7, 5167, 1313901388807, 404159696448490799706952, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.M', 'old_label': '12.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111183
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 51090942171836811023, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 51091297865491939320, 122002101738316800], 'label': '49152.nz.12.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BT', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111184
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.A', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 256094948356128001, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 355687555466897, 122002101738316800], 'label': '49152.nz.12.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BU', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111185
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '192.B', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 6354408361, 7, 5167, 1313901388807, 79855520358527959449721, 2796019446976, 355687555466897, 122002101738316800], 'label': '49152.nz.12.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BV', 'subgroup_fusion': None, 'weyl_group': '128.2328'}
  • id: 218111186
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '48.C', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6227383801, 25903229683158464681647, 40284840, 51468682220474400120, 7, 79855520358534139670520, 5167, 1313901388807, 79804429416356203198097, 2796019446976, 51091297859137536121, 122002101738316800], 'label': '49152.nz.12.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BW', 'subgroup_fusion': None, 'weyl_group': '256.29598'}
  • id: 218111187
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 355693742571023, 7, 51091300648883134096, 5167, 1313901388807, 324355645133275756879438, 79855520358527959449721, 122002101738316800, 51468685016319664696], 'label': '49152.nz.12.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 218111188
    {'ambient': '49152.nz', 'aut_centralizer_order': None, 'aut_label': '12.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '192.C', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [25903229683158464681647, 40284840, 79804429772049905489401, 355693742571023, 7, 51091300648883134096, 5167, 1313901388807, 79855520358527959449721, 122002101738316800, 378359027103720864090817, 51468685016319664696], 'label': '49152.nz.12.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BY', 'subgroup_fusion': None, 'weyl_group': None}