Abstract group data - 768.87077

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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': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [4, 2, 2, 12, 2, 2, 4, 12, 4], 'aut_gens': [[1, 4, 8, 32, 128], [407, 20, 392, 500, 144], [143, 84, 408, 240, 640], [83, 388, 88, 416, 640], [205, 68, 392, 564, 144], [209, 20, 88, 176, 640], [81, 20, 72, 496, 128], [85, 388, 472, 52, 656], [533, 388, 408, 564, 144], [459, 452, 88, 36, 656]], 'aut_group': None, 'aut_hash': 2194389629022892761, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 24576, 'aut_permdeg': 112, 'aut_perms': [6297349625138305749064321763609333047936063757586156202324073079326167305233514088528470783436557414248340478668818011043524625066349005887056785565216770213632849606476378282111617, 15477103798614171299642284623931294127149881063789807030179434445705061319728199007537437063712082460094210044923645610475250185772312943735907478910776381833559926797831933547020372, 138929584290816069610901339307551556302042000593032327129135187067267480219457202792813970854217804339825166158647539465019405931480219604018774088665204060499130454039536476487839814, 170840274763998461595430561049655134740770851563699572426415747871008809071913161939382795774191314279940664550916172890870519374940529974418740489901032724158245124139555126613096937, 87947316178431297086794998710195912457765361176781011653444506335240132704932545789284556224556933733686291986868041272459413506253970225267943402191258919526604854845682381209773175, 90399424799967029650800697871341592510572888334022590072788977129462826027910661240958012433599994037194016151788657334534870486187261607260728581525721476604670994333142797026463154, 177295195840445626581622776894764975325700940289518188724142975062842780325821191034103993795422365832233101009615602407197269600781176238462758794081974972861240238646242469247160894, 18883615984931150782336412974587088129024349261970549472373016104843352104862364467784875147206142049282814928867624927982950653206552806150396355275993829237672630466226318671568439, 134296079448967589780408932172365805950429517004388973506555720528787467052375505288289114077796007896627961092298728937266285237598312131270228653163441928688897622153911547965416647], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 2, 2, 1], [2, 4, 1, 3], [2, 4, 2, 2], [2, 8, 1, 1], [2, 24, 2, 1], [3, 2, 1, 1], [4, 4, 2, 1], [4, 8, 1, 1], [4, 8, 8, 1], [4, 24, 2, 1], [4, 48, 1, 2], [6, 2, 1, 3], [6, 2, 4, 1], [6, 4, 1, 2], [6, 4, 2, 3], [6, 4, 4, 1], [6, 8, 2, 2], [8, 48, 4, 1], [12, 8, 2, 2], [12, 8, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3:(C_2^8.C_2^5)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '384.18491', 'autcentquo_hash': 18491, 'autcentquo_nilpotent': False, 'autcentquo_order': 384, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^5:D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 4], [2, 4, 7], [2, 8, 1], [2, 24, 2], [3, 2, 1], [4, 4, 2], [4, 8, 9], [4, 24, 2], [4, 48, 2], [6, 2, 7], [6, 4, 12], [6, 8, 4], [8, 48, 4], [12, 8, 20]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '192.513', 'commutator_count': 1, 'commutator_label': '48.52', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 87077, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 4], [2, 4, 1, 7], [2, 8, 1, 1], [2, 24, 1, 2], [3, 2, 1, 1], [4, 4, 1, 2], [4, 8, 1, 1], [4, 8, 2, 4], [4, 24, 1, 2], [4, 48, 1, 2], [6, 2, 1, 3], [6, 2, 2, 2], [6, 4, 1, 2], [6, 4, 2, 5], [6, 8, 1, 2], [6, 8, 2, 1], [8, 48, 2, 2], [12, 8, 1, 2], [12, 8, 2, 1], [12, 8, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 5376, 'exponent': 24, 'exponents_of_order': [8, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '32.46', 'frattini_quotient': '24.14', 'hash': 87077, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 2, 2, 2, 6], 'inner_gens': [[1, 404, 72, 484, 656], [401, 4, 24, 32, 128], [65, 20, 8, 480, 128], [453, 4, 456, 32, 640], [273, 4, 8, 288, 128]], 'inner_hash': 513, 'inner_nilpotent': False, 'inner_order': 192, 'inner_split': None, 'inner_tex': 'C_2^3.D_{12}', 'inner_used': [1, 2, 3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 44], [4, 16], [8, 5]], 'label': '768.87077', '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': True, 'metacyclic': False, 'monomial': True, 'name': '(C2^3*C12).D4', 'ngens': 9, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 37, 'number_characteristic_subgroups': 69, 'number_conjugacy_classes': 81, 'number_divisions': 54, 'number_normal_subgroups': 111, 'number_subgroup_autclasses': 658, 'number_subgroup_classes': 1118, 'number_subgroups': 6180, 'old_label': None, 'order': 768, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 95], [3, 2], [4, 224], [6, 94], [8, 192], [12, 160]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 2, 4], 'outer_gen_pows': [70, 384, 452, 2, 0, 256], 'outer_gens': [[5, 404, 408, 500, 656], [467, 404, 72, 112, 640], [599, 20, 456, 180, 656], [81, 404, 24, 420, 144], [83, 388, 88, 416, 640], [157, 84, 456, 244, 144]], 'outer_group': '128.2320', 'outer_hash': 2320, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 64, 'outer_perms': [52702425846698886940321581434951218761010675276314658729011082179790112848822140946135200, 12721693891497978669412471695142931445773478890355664669164233140423870393534686800521128, 102483329167724258507634763783200364280051197544841975352021509816271427642167387909919486, 102388827578402358087753325881466087759411334091780430445327486080980710651575044237355478, 4185591064254038755246484871295595877966671539262515487948425357000534363013673798559560, 50687755791566670366009375847040936752325876924377872213215278879755717689582439761493643], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_2^4', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 16], [4, 20], [8, 9], [16, 1]], 'representations': {'PC': {'code': '172244333227204370699791055482945763366810119378338522682881', 'gens': [1, 3, 4, 6, 8], 'pres': [9, 2, 2, 2, 2, 2, 2, 2, 2, 3, 18, 154, 10910, 281, 2595, 237, 102, 26141, 11246, 3272, 158, 47239, 1492, 214, 41480, 1349]}, 'Perm': {'d': 15, 'gens': [106948356505, 175964181864, 1680, 295076597760, 744, 388481909760, 442680940800, 448908001920, 3]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2^3\\times C_{12}).D_4', 'transitive_degree': 96, '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: 105814408
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 87077, 'group_order': 768, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 105814419
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 87077, 'group_order': 768, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 64, 'size': 1}
  • id: 105814430
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 87077, 'group_order': 768, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 80, 'size': 1}
  • id: 105814441
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 87077, 'group_order': 768, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 16, 'size': 1}
  • id: 105814452
    {'aut_label': '2D', 'centralizer': '2.b1.a1', 'counter': 5, 'group_counter': 87077, 'group_order': 768, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 10, 'size': 2}
  • id: 105814463
    {'aut_label': '2D', 'centralizer': '2.b1.a1', 'counter': 6, 'group_counter': 87077, 'group_order': 768, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 26, 'size': 2}
  • id: 105814474
    {'aut_label': '2F', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 87077, 'group_order': 768, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 384, 'size': 2}
  • id: 105814485
    {'aut_label': '2G', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 87077, 'group_order': 768, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 448, 'size': 2}
  • id: 105814488
    {'aut_label': '2H', 'centralizer': '4.k1.a1', 'counter': 9, 'group_counter': 87077, 'group_order': 768, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 12, 'size': 4}
  • id: 105814409
    {'aut_label': '2H', 'centralizer': '4.k1.a1', 'counter': 10, 'group_counter': 87077, 'group_order': 768, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 396, 'size': 4}
  • id: 105814410
    {'aut_label': '2J', 'centralizer': '4.a1.a1', 'counter': 11, 'group_counter': 87077, 'group_order': 768, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 394, 'size': 4}
  • id: 105814411
    {'aut_label': '2K', 'centralizer': '4.k1.a1', 'counter': 12, 'group_counter': 87077, 'group_order': 768, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 70, 'size': 4}
  • id: 105814412
    {'aut_label': '2L', 'centralizer': '4.b1.a1', 'counter': 13, 'group_counter': 87077, 'group_order': 768, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 4, 'size': 4}
  • id: 105814413
    {'aut_label': '2L', 'centralizer': '4.b1.a1', 'counter': 14, 'group_counter': 87077, 'group_order': 768, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 68, 'size': 4}
  • id: 105814414
    {'aut_label': '2N', 'centralizer': '4.k1.a1', 'counter': 15, 'group_counter': 87077, 'group_order': 768, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 390, 'size': 4}
  • id: 105814415
    {'aut_label': '2O', 'centralizer': '8.b1.a1', 'counter': 16, 'group_counter': 87077, 'group_order': 768, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 14, 'size': 8}
  • id: 105814416
    {'aut_label': '2P', 'centralizer': '24.t1.a1', 'counter': 17, 'group_counter': 87077, 'group_order': 768, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 42, 'size': 24}
  • id: 105814417
    {'aut_label': '2P', 'centralizer': '24.t1.a1', 'counter': 18, 'group_counter': 87077, 'group_order': 768, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 58, 'size': 24}
  • id: 105814418
    {'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 19, 'group_counter': 87077, 'group_order': 768, 'label': '3A', 'order': 3, 'powers': [19, 1], 'representative': 512, 'size': 2}
  • id: 105814420
    {'aut_label': '4A', 'centralizer': '4.m1.a1', 'counter': 20, 'group_counter': 87077, 'group_order': 768, 'label': '4A', 'order': 4, 'powers': [4, 20], 'representative': 18, 'size': 4}
  • id: 105814421
    {'aut_label': '4A', 'centralizer': '4.m1.a1', 'counter': 21, 'group_counter': 87077, 'group_order': 768, 'label': '4B', 'order': 4, 'powers': [4, 21], 'representative': 82, 'size': 4}
  • id: 105814422
    {'aut_label': '4C', 'centralizer': '8.c1.a1', 'counter': 22, 'group_counter': 87077, 'group_order': 768, 'label': '4C', 'order': 4, 'powers': [4, 22], 'representative': 24, 'size': 8}
  • id: 105814423
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 23, 'group_counter': 87077, 'group_order': 768, 'label': '4D1', 'order': 4, 'powers': [15, 24], 'representative': 39, 'size': 8}
  • id: 105814424
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 24, 'group_counter': 87077, 'group_order': 768, 'label': '4D-1', 'order': 4, 'powers': [15, 23], 'representative': 33, 'size': 8}
  • id: 105814425
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 25, 'group_counter': 87077, 'group_order': 768, 'label': '4E1', 'order': 4, 'powers': [15, 26], 'representative': 103, 'size': 8}
  • id: 105814426
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 26, 'group_counter': 87077, 'group_order': 768, 'label': '4E-1', 'order': 4, 'powers': [15, 25], 'representative': 97, 'size': 8}
  • id: 105814427
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 27, 'group_counter': 87077, 'group_order': 768, 'label': '4F1', 'order': 4, 'powers': [15, 28], 'representative': 447, 'size': 8}
  • id: 105814428
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 28, 'group_counter': 87077, 'group_order': 768, 'label': '4F-1', 'order': 4, 'powers': [15, 27], 'representative': 41, 'size': 8}
  • id: 105814429
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 29, 'group_counter': 87077, 'group_order': 768, 'label': '4G1', 'order': 4, 'powers': [15, 30], 'representative': 511, 'size': 8}
  • id: 105814431
    {'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 30, 'group_counter': 87077, 'group_order': 768, 'label': '4G-1', 'order': 4, 'powers': [15, 29], 'representative': 105, 'size': 8}
  • id: 105814432
    {'aut_label': '4H', 'centralizer': '24.u1.a1', 'counter': 31, 'group_counter': 87077, 'group_order': 768, 'label': '4H', 'order': 4, 'powers': [2, 31], 'representative': 32, 'size': 24}
  • id: 105814433
    {'aut_label': '4H', 'centralizer': '24.u1.a1', 'counter': 32, 'group_counter': 87077, 'group_order': 768, 'label': '4I', 'order': 4, 'powers': [2, 32], 'representative': 48, 'size': 24}
  • id: 105814434
    {'aut_label': '4J', 'centralizer': '48.p1.a1', 'counter': 33, 'group_counter': 87077, 'group_order': 768, 'label': '4J', 'order': 4, 'powers': [8, 33], 'representative': 166, 'size': 48}
  • id: 105814435
    {'aut_label': '4K', 'centralizer': '48.q1.a1', 'counter': 34, 'group_counter': 87077, 'group_order': 768, 'label': '4K', 'order': 4, 'powers': [7, 34], 'representative': 104, 'size': 48}
  • id: 105814436
    {'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 35, 'group_counter': 87077, 'group_order': 768, 'label': '6A', 'order': 6, 'powers': [19, 2], 'representative': 320, 'size': 2}
  • id: 105814437
    {'aut_label': '6B', 'centralizer': '2.b1.a1', 'counter': 36, 'group_counter': 87077, 'group_order': 768, 'label': '6B', 'order': 6, 'powers': [19, 3], 'representative': 336, 'size': 2}
  • id: 105814438
    {'aut_label': '6C', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 87077, 'group_order': 768, 'label': '6C', 'order': 6, 'powers': [19, 4], 'representative': 528, 'size': 2}
  • id: 105814439
    {'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 87077, 'group_order': 768, 'label': '6D1', 'order': 6, 'powers': [19, 5], 'representative': 266, 'size': 2}
  • id: 105814440
    {'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 87077, 'group_order': 768, 'label': '6D-1', 'order': 6, 'powers': [19, 5], 'representative': 522, 'size': 2}
  • id: 105814442
    {'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 87077, 'group_order': 768, 'label': '6E1', 'order': 6, 'powers': [19, 6], 'representative': 282, 'size': 2}
  • id: 105814443
    {'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 41, 'group_counter': 87077, 'group_order': 768, 'label': '6E-1', 'order': 6, 'powers': [19, 6], 'representative': 538, 'size': 2}
  • id: 105814444
    {'aut_label': '6F', 'centralizer': '4.a1.a1', 'counter': 42, 'group_counter': 87077, 'group_order': 768, 'label': '6F', 'order': 6, 'powers': [19, 7], 'representative': 128, 'size': 4}
  • id: 105814445
    {'aut_label': '6G', 'centralizer': '4.a1.a1', 'counter': 43, 'group_counter': 87077, 'group_order': 768, 'label': '6G', 'order': 6, 'powers': [19, 8], 'representative': 192, 'size': 4}
  • id: 105814446
    {'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 44, 'group_counter': 87077, 'group_order': 768, 'label': '6H1', 'order': 6, 'powers': [19, 9], 'representative': 268, 'size': 4}
  • id: 105814447
    {'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 45, 'group_counter': 87077, 'group_order': 768, 'label': '6H-1', 'order': 6, 'powers': [19, 9], 'representative': 524, 'size': 4}
  • id: 105814448
    {'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 46, 'group_counter': 87077, 'group_order': 768, 'label': '6I1', 'order': 6, 'powers': [19, 10], 'representative': 140, 'size': 4}
  • id: 105814449
    {'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 47, 'group_counter': 87077, 'group_order': 768, 'label': '6I-1', 'order': 6, 'powers': [19, 10], 'representative': 652, 'size': 4}
  • id: 105814450
    {'aut_label': '6J1', 'centralizer': '4.a1.a1', 'counter': 48, 'group_counter': 87077, 'group_order': 768, 'label': '6J1', 'order': 6, 'powers': [19, 11], 'representative': 138, 'size': 4}
  • id: 105814451
    {'aut_label': '6J1', 'centralizer': '4.a1.a1', 'counter': 49, 'group_counter': 87077, 'group_order': 768, 'label': '6J-1', 'order': 6, 'powers': [19, 11], 'representative': 202, 'size': 4}
  • id: 105814453
    {'aut_label': '6K1', 'centralizer': '4.k1.a1', 'counter': 50, 'group_counter': 87077, 'group_order': 768, 'label': '6K1', 'order': 6, 'powers': [19, 12], 'representative': 326, 'size': 4}
  • id: 105814454
    {'aut_label': '6K1', 'centralizer': '4.k1.a1', 'counter': 51, 'group_counter': 87077, 'group_order': 768, 'label': '6K-1', 'order': 6, 'powers': [19, 12], 'representative': 582, 'size': 4}
  • id: 105814455
    {'aut_label': '6L1', 'centralizer': '4.k1.a1', 'counter': 52, 'group_counter': 87077, 'group_order': 768, 'label': '6L1', 'order': 6, 'powers': [19, 15], 'representative': 134, 'size': 4}
  • id: 105814456
    {'aut_label': '6L1', 'centralizer': '4.k1.a1', 'counter': 53, 'group_counter': 87077, 'group_order': 768, 'label': '6L-1', 'order': 6, 'powers': [19, 15], 'representative': 646, 'size': 4}
  • id: 105814457
    {'aut_label': '6M', 'centralizer': '8.b1.a1', 'counter': 54, 'group_counter': 87077, 'group_order': 768, 'label': '6M', 'order': 6, 'powers': [19, 13], 'representative': 260, 'size': 8}
  • id: 105814458
    {'aut_label': '6M', 'centralizer': '8.b1.a1', 'counter': 55, 'group_counter': 87077, 'group_order': 768, 'label': '6N', 'order': 6, 'powers': [19, 14], 'representative': 324, 'size': 8}
  • id: 105814459
    {'aut_label': '6O1', 'centralizer': '8.b1.a1', 'counter': 56, 'group_counter': 87077, 'group_order': 768, 'label': '6O1', 'order': 6, 'powers': [19, 16], 'representative': 270, 'size': 8}
  • id: 105814460
    {'aut_label': '6O1', 'centralizer': '8.b1.a1', 'counter': 57, 'group_counter': 87077, 'group_order': 768, 'label': '6O-1', 'order': 6, 'powers': [19, 16], 'representative': 142, 'size': 8}
  • id: 105814461
    {'aut_label': '8A1', 'centralizer': '48.bd1.a1', 'counter': 58, 'group_counter': 87077, 'group_order': 768, 'label': '8A1', 'order': 8, 'powers': [20, 59], 'representative': 129, 'size': 48}
  • id: 105814462
    {'aut_label': '8A1', 'centralizer': '48.bd1.a1', 'counter': 59, 'group_counter': 87077, 'group_order': 768, 'label': '8A-1', 'order': 8, 'powers': [20, 58], 'representative': 131, 'size': 48}
  • id: 105814464
    {'aut_label': '8A1', 'centralizer': '48.bd1.b1', 'counter': 60, 'group_counter': 87077, 'group_order': 768, 'label': '8B1', 'order': 8, 'powers': [21, 61], 'representative': 91, 'size': 48}
  • id: 105814465
    {'aut_label': '8A1', 'centralizer': '48.bd1.b1', 'counter': 61, 'group_counter': 87077, 'group_order': 768, 'label': '8B-1', 'order': 8, 'powers': [21, 60], 'representative': 25, 'size': 48}
  • id: 105814466
    {'aut_label': '12A', 'centralizer': '8.c1.a1', 'counter': 62, 'group_counter': 87077, 'group_order': 768, 'label': '12A', 'order': 12, 'powers': [37, 20], 'representative': 258, 'size': 8}
  • id: 105814467
    {'aut_label': '12A', 'centralizer': '8.c1.a1', 'counter': 63, 'group_counter': 87077, 'group_order': 768, 'label': '12B', 'order': 12, 'powers': [37, 21], 'representative': 322, 'size': 8}
  • id: 105814468
    {'aut_label': '12C1', 'centralizer': '8.c1.a1', 'counter': 64, 'group_counter': 87077, 'group_order': 768, 'label': '12C1', 'order': 12, 'powers': [37, 22], 'representative': 264, 'size': 8}
  • id: 105814469
    {'aut_label': '12C1', 'centralizer': '8.c1.a1', 'counter': 65, 'group_counter': 87077, 'group_order': 768, 'label': '12C-1', 'order': 12, 'powers': [37, 22], 'representative': 136, 'size': 8}
  • id: 105814470
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 66, 'group_counter': 87077, 'group_order': 768, 'label': '12D1', 'order': 12, 'powers': [52, 23], 'representative': 289, 'size': 8}
  • id: 105814471
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 67, 'group_counter': 87077, 'group_order': 768, 'label': '12D-1', 'order': 12, 'powers': [53, 24], 'representative': 355, 'size': 8}
  • id: 105814472
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 68, 'group_counter': 87077, 'group_order': 768, 'label': '12D5', 'order': 12, 'powers': [53, 23], 'representative': 161, 'size': 8}
  • id: 105814473
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 69, 'group_counter': 87077, 'group_order': 768, 'label': '12D-5', 'order': 12, 'powers': [52, 24], 'representative': 227, 'size': 8}
  • id: 105814475
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 70, 'group_counter': 87077, 'group_order': 768, 'label': '12E1', 'order': 12, 'powers': [52, 25], 'representative': 353, 'size': 8}
  • id: 105814476
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 71, 'group_counter': 87077, 'group_order': 768, 'label': '12E-1', 'order': 12, 'powers': [53, 26], 'representative': 291, 'size': 8}
  • id: 105814477
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 72, 'group_counter': 87077, 'group_order': 768, 'label': '12E5', 'order': 12, 'powers': [53, 25], 'representative': 225, 'size': 8}
  • id: 105814478
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 73, 'group_counter': 87077, 'group_order': 768, 'label': '12E-5', 'order': 12, 'powers': [52, 26], 'representative': 163, 'size': 8}
  • id: 105814479
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 74, 'group_counter': 87077, 'group_order': 768, 'label': '12F1', 'order': 12, 'powers': [53, 27], 'representative': 297, 'size': 8}
  • id: 105814480
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 75, 'group_counter': 87077, 'group_order': 768, 'label': '12F-1', 'order': 12, 'powers': [52, 28], 'representative': 299, 'size': 8}
  • id: 105814481
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 76, 'group_counter': 87077, 'group_order': 768, 'label': '12F5', 'order': 12, 'powers': [52, 27], 'representative': 169, 'size': 8}
  • id: 105814482
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 77, 'group_counter': 87077, 'group_order': 768, 'label': '12F-5', 'order': 12, 'powers': [53, 28], 'representative': 171, 'size': 8}
  • id: 105814483
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 78, 'group_counter': 87077, 'group_order': 768, 'label': '12G1', 'order': 12, 'powers': [53, 29], 'representative': 361, 'size': 8}
  • id: 105814484
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 79, 'group_counter': 87077, 'group_order': 768, 'label': '12G-1', 'order': 12, 'powers': [52, 30], 'representative': 363, 'size': 8}
  • id: 105814486
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 80, 'group_counter': 87077, 'group_order': 768, 'label': '12G5', 'order': 12, 'powers': [52, 29], 'representative': 233, 'size': 8}
  • id: 105814487
    {'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 81, 'group_counter': 87077, 'group_order': 768, 'label': '12G-5', 'order': 12, 'powers': [53, 30], 'representative': 235, 'size': 8}
• gps_qchar •

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

  
  
  • id: 3622930
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3622941
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 3622952
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 3622963
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 3622974
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 3622980
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 3622981
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3622982
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 3622983
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 3622931
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 3622932
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 3622933
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 3622934
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3622935
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, 0, -2, 2, 0, 2, 2, 0, 2, 0], 'schur_index': 1}
  • id: 3622936
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 2, 2, 0, 0, 2, -2, 0, -2, -2, 0, -2, 0], 'schur_index': 1}
  • id: 3622937
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, -2, 2, -2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2], 'schur_index': 1}
  • id: 3622938
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, 2, 2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2], 'schur_index': 1}
  • id: 3622939
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 3622940
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2g', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 3622942
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2h', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 3622943
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2i', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 3622944
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 0, 0, -1, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1], 'schur_index': 1}
  • id: 3622945
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 0, 0, -1, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 3622946
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 3622947
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2m', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, -4, 0, -4, 4, 4, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, -4, 4, -4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622948
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2n', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, -4, 0, 4, -4, 4, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, -4, 4, -4, -4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622949
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2o', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 4, -4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 3622950
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2p', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, -4, 4, -4, 4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 3622951
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2q', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, 4, -4, -4, -4, -4, 4, 4, 0, 0, -2, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 3622953
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2r', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 0, 0, -2, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 3622954
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2s', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, -4, 4, -4, 0, 0, 0, 0, 0, -2, 4, -4, -4, 4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, -2, 0, -2, -2, 0, -2, 0], 'schur_index': 1}
  • id: 3622955
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2t', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, -4, 4, -4, 0, 0, 0, 0, 0, -2, 4, -4, 4, -4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, -2, 0, 0, -2, 2, 0, 2, 2, 0, 2, 0], 'schur_index': 1}
  • id: 3622956
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2u', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, 4, -4, -4, 0, 0, 0, 0, 0, -2, -4, 4, 0, 0, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 2, -2, 2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2], 'schur_index': 1}
  • id: 3622957
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2v', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, 4, -4, -4, 0, 0, 0, 0, 0, -2, -4, 4, 0, 0, 4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, -2, -2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2], 'schur_index': 1}
  • id: 3622958
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2w', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
  • id: 3622959
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2x', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
  • id: 3622962
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4a', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -4, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622964
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4b', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -4, 4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622965
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4c', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, -4, -4, 4, -4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622966
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4d', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622967
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4e', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622968
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4f', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622969
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4g', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -4, 4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622970
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4h', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, -4, 4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622960
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2y', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 8, -8, -8, 0, -8, 8, 8, 0, 0, 0, 0, 0, -4, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622961
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2z', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 8, -8, -8, 0, 8, -8, 8, 0, 0, 0, 0, 0, -4, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622971
    {'cdim': 4, 'counter': 47, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4i', 'multiplicity': 2, 'nt': [24, 94], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, -8, 8, 0, -8, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622972
    {'cdim': 4, 'counter': 48, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4j', 'multiplicity': 2, 'nt': [24, 94], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, -8, 8, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622973
    {'cdim': 4, 'counter': 49, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4k', 'multiplicity': 2, 'nt': [24, 94], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 4, -4, 4, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622975
    {'cdim': 4, 'counter': 50, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4l', 'multiplicity': 2, 'nt': [24, 94], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622976
    {'cdim': 8, 'counter': 51, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.8a', 'multiplicity': 1, 'nt': [16, 219], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622977
    {'cdim': 8, 'counter': 52, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.8b', 'multiplicity': 1, 'nt': [24, 340], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622978
    {'cdim': 8, 'counter': 53, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.8c', 'multiplicity': 1, 'nt': [24, 340], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3622979
    {'cdim': 8, 'counter': 54, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.8d', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 5217683
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 768, 'label': '768.87077.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5217694
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 384, 'label': '768.87077.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5217705
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.b1', 'kernel_order': 384, 'label': '768.87077.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5217716
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 384, 'label': '768.87077.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5217727
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.b1', 'kernel_order': 384, 'label': '768.87077.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5217738
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 384, 'label': '768.87077.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5217749
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  • id: 5217760
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  • id: 5217684
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  • id: 5217685
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  • id: 5217686
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  • id: 5217687
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  • id: 5217688
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  • id: 5217689
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  • id: 5217690
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  • id: 5217691
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  • id: 5217692
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  • id: 5217693
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  • id: 5217695
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  • id: 5217696
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  • id: 5217697
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  • id: 5217698
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  • id: 5217699
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  • id: 5217700
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  • id: 5217701
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  • id: 5217702
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  • id: 5217703
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  • id: 5217704
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  • id: 5217706
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  • id: 5217707
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 192, 'counter': 31, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.b1', 'kernel_order': 48, 'label': '768.87077.2n1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]]]}
  • id: 5217708
    {'center': '4.g1.a1', 'center_index': 4, 'center_order': 192, 'counter': 32, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.b1', 'kernel_order': 48, 'label': '768.87077.2n2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]]]}
  • id: 5217709
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 33, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 32, 'label': '768.87077.2o1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]]]}
  • id: 5217710
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 34, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 32, 'label': '768.87077.2o2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]]]}
  • id: 5217711
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 35, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 32, 'label': '768.87077.2p1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]]]}
  • id: 5217712
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 36, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 32, 'label': '768.87077.2p2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]]]}
  • id: 5217713
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 37, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1.a1', 'kernel_order': 32, 'label': '768.87077.2q1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 5217714
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 38, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1.a1', 'kernel_order': 32, 'label': '768.87077.2q2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 5217715
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 39, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1.a1', 'kernel_order': 32, 'label': '768.87077.2r1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 5217717
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 40, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1.a1', 'kernel_order': 32, 'label': '768.87077.2r2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 5217718
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 41, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.b1', 'kernel_order': 32, 'label': '768.87077.2s1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]]]}
  • id: 5217719
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 42, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.b1', 'kernel_order': 32, 'label': '768.87077.2s2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]]]}
  • id: 5217720
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 43, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 32, 'label': '768.87077.2t1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]]]}
  • id: 5217721
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 44, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 32, 'label': '768.87077.2t2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]]]}
  • id: 5217722
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 45, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.d1', 'kernel_order': 32, 'label': '768.87077.2u1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]]]}
  • id: 5217723
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 46, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.d1', 'kernel_order': 32, 'label': '768.87077.2u2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]]]}
  • id: 5217724
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 47, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.c1', 'kernel_order': 32, 'label': '768.87077.2v1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]]]}
  • id: 5217725
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 48, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.c1', 'kernel_order': 32, 'label': '768.87077.2v2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]]]}
  • id: 5217726
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 49, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.g1.a1', 'kernel_order': 32, 'label': '768.87077.2w1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]]]}
  • id: 5217728
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 50, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.g1.a1', 'kernel_order': 32, 'label': '768.87077.2w2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]]]}
  • id: 5217729
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 51, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 32, 'label': '768.87077.2x1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]]]}
  • id: 5217730
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 52, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 32, 'label': '768.87077.2x2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]]]}
  • id: 5217731
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 53, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 1], [1, -1]]]}
  • id: 5217732
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 54, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 1], [1, -1]]]}
  • id: 5217733
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 55, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 1], [-1, -1]]]}
  • id: 5217734
    {'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 56, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 1], [-1, -1]]]}
  • id: 5217735
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 57, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[1, 3]]]}
  • id: 5217736
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 58, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[-1, 3]]]}
  • id: 5217737
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 59, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[1, 3]]]}
  • id: 5217739
    {'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 60, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 3]], [[1, 1], [1, -1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[-1, 3]]]}
  • id: 5217740
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  • id: 5217741
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  • id: 5217742
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  • id: 5217743
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  • id: 5217744
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  • id: 5217745
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  • id: 5217746
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  • id: 5217747
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  • id: 5217748
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  • id: 5217750
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  • id: 5217751
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  • id: 5217752
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  • id: 5217753
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 73, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 8, 'label': '768.87077.4k1', 'nt': [24, 94], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217754
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 74, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 8, 'label': '768.87077.4k2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217755
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 75, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 8, 'label': '768.87077.4l1', 'nt': [24, 94], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217756
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 76, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 8, 'label': '768.87077.4l2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217757
    {'center': '64.a1.a1', 'center_index': 64, 'center_order': 12, 'counter': 77, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '128.853', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 6, 'label': '768.87077.8a', 'nt': [16, 219], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217758
    {'center': '96.a1.a1', 'center_index': 96, 'center_order': 8, 'counter': 78, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '192.30', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.b1', 'kernel_order': 4, 'label': '768.87077.8b', 'nt': [24, 340], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217759
    {'center': '96.a1.a1', 'center_index': 96, 'center_order': 8, 'counter': 79, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '192.30', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.a1', 'kernel_order': 4, 'label': '768.87077.8c', 'nt': [24, 340], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217761
    {'center': '192.a1.a1', 'center_index': 192, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '384.2591', 'image_order': 384, 'indicator': 0, 'kernel': '384.b1.a1', 'kernel_order': 2, 'label': '768.87077.8d1', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0], [-8, 1]], [[4, 0]], [[4, 0]], [[4, 0], [8, 1]], [[-4, 0], [-8, 1]], [[-4, 0]], [[4, 0], [8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5217762
    {'center': '192.a1.a1', 'center_index': 192, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '384.2591', 'image_order': 384, 'indicator': 0, 'kernel': '384.b1.a1', 'kernel_order': 2, 'label': '768.87077.8d2', 'nt': [48, 2], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0], [8, 1]], [[4, 0]], [[4, 0]], [[-4, 0], [-8, 1]], [[4, 0], [8, 1]], [[-4, 0]], [[-4, 0], [-8, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 59918042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 768, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '768.87077.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, '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': '768.87077', 'subgroup_hash': 87077, 'subgroup_order': 768, 'subgroup_tex': '(C_2^3\\times C_{12}).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 384, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.16628', 'subgroup_hash': 16628, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 384, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, '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': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.17321', 'subgroup_hash': 17321, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 384, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.4705', 'subgroup_hash': 4705, 'subgroup_order': 384, 'subgroup_tex': '(C_6\\times D_4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.2590', 'subgroup_hash': 2590, 'subgroup_order': 384, 'subgroup_tex': '(C_2^3\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.d1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.2590', 'subgroup_hash': 2590, 'subgroup_order': 384, 'subgroup_tex': '(C_2^3\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.270', 'subgroup_hash': 270, 'subgroup_order': 384, 'subgroup_tex': '(C_6\\times D_4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.e1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.270', 'subgroup_hash': 270, 'subgroup_order': 384, 'subgroup_tex': '(C_6\\times D_4).D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '768.87077.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, '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': '256.6074', 'subgroup_hash': 6074, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 2}
  • id: 59918043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 192, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.1531', 'subgroup_hash': 1531, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 192, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1529', 'subgroup_hash': 1529, 'subgroup_order': 192, 'subgroup_tex': 'D_6:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.806', 'subgroup_hash': 806, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1358', 'subgroup_hash': 1358, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.779', 'subgroup_hash': 779, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.1358', 'subgroup_hash': 1358, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 192, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 192, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.779', 'subgroup_hash': 779, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 192, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.775', 'subgroup_hash': 775, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 192, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.775', 'subgroup_hash': 775, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.1399', 'subgroup_hash': 1399, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 96, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.1401', 'subgroup_hash': 1401, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.772', 'subgroup_hash': 772, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3.D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.m1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.766', 'subgroup_hash': 766, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_6):\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.n1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.782', 'subgroup_hash': 782, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.775', 'subgroup_hash': 775, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.p1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.782', 'subgroup_hash': 782, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.q1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.b1', 'outer_equivalence': False, 'perfect': False, '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': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.c1', 'outer_equivalence': False, 'perfect': False, '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': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.d1', 'outer_equivalence': False, 'perfect': False, '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': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.a1', 'outer_equivalence': False, 'perfect': False, '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': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.b1', 'outer_equivalence': False, 'perfect': False, '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': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.c1', 'outer_equivalence': False, 'perfect': False, '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': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.d1', 'outer_equivalence': False, 'perfect': False, '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': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 128, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, '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': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, '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': '128.1135', 'subgroup_hash': 1135, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, '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': '128.515', 'subgroup_hash': 515, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.b1', 'outer_equivalence': False, 'perfect': False, '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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '128.122', 'subgroup_hash': 122, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1.b1', 'outer_equivalence': False, 'perfect': False, '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': '128.122', 'subgroup_hash': 122, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918539
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.231', 'subgroup_hash': 231, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918550
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.231', 'subgroup_hash': 231, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918561
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.220', 'subgroup_hash': 220, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918617
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 96, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.230', 'subgroup_hash': 230, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918628
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 96, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.218', 'subgroup_hash': 218, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918739
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.p1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.220', 'subgroup_hash': 220, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.r1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.37', 'subgroup_hash': 37, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.u1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.v1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.v1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.w1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.x1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.y1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.z1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.134', 'subgroup_hash': 134, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ba1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.134', 'subgroup_hash': 134, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bb1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.38', 'subgroup_hash': 38, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bc1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.128', 'subgroup_hash': 128, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bc1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.128', 'subgroup_hash': 128, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bd1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.38', 'subgroup_hash': 38, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.be1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bf1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bg1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bh1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.37', 'subgroup_hash': 37, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 59918983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 59918994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.c1', 'outer_equivalence': False, 'perfect': False, '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': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 59919005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.d1', 'outer_equivalence': False, 'perfect': False, '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': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 59919016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.c1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.d1', 'outer_equivalence': False, 'perfect': False, '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': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bk1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bk1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bl1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bl1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59919116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59919127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.c1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59919138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.d1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59919149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bn1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bn1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bo1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bo1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bp1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bp1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bq1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bq1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.br1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.br1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bs1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bs1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bt1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bt1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.c1', 'outer_equivalence': False, 'perfect': False, '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': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.d1', 'outer_equivalence': False, 'perfect': False, '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': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bv1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bv1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bw1.a1', 'outer_equivalence': False, 'perfect': False, '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': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bw1.b1', 'outer_equivalence': False, 'perfect': False, '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': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 64, 'counter': 121, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, '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': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 64, 'counter': 122, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 64, 'counter': 123, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.12.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.b1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 32, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.67', 'subgroup_hash': 67, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.88', 'subgroup_hash': 88, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.67', 'subgroup_hash': 67, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.73', 'subgroup_hash': 73, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.67', 'subgroup_hash': 67, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1.b1', 'outer_equivalence': False, 'perfect': False, '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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.73', 'subgroup_hash': 73, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.b1', 'outer_equivalence': False, 'perfect': False, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.c1', 'outer_equivalence': False, 'perfect': False, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.d1', 'outer_equivalence': False, 'perfect': False, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.a1', 'outer_equivalence': False, 'perfect': False, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.b1', 'outer_equivalence': False, 'perfect': False, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.c1', 'outer_equivalence': False, 'perfect': False, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.d1', 'outer_equivalence': False, 'perfect': False, '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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918215
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 48, 'counter': 148, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918216
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 149, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918218
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 150, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918219
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 151, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918220
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918221
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 153, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918222
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 154, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 155, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 156, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 157, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 158, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918227
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918229
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.l1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918231
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.m1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918232
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918233
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.p1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.q1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918236
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.r1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.s1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.t1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.u1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.v1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.w1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.x1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.y1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918245
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.z1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918246
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.z1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918247
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ba1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918248
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bb1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bc1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bc1.a2', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918254
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.be1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918255
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.be1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918256
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bf1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918257
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bf1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg2.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg2.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918267
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bi1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918268
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bi1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.a2', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.b2', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bk1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bk1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bl1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bl1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bm1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bm1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bn1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bn1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918288
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bo1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bo1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918290
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bp1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918291
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bp1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq2.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq2.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.a2', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.b2', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.a2', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.b2', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918305
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bs1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918307
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bt1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918308
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918309
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bu1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu1.a2', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bv1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bw1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918312
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bx1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.by1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918314
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bz1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918315
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ca1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918316
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cb1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918318
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cb1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918319
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cc1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918320
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cc1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918321
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cd1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918322
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cd1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918323
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ce1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918324
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cf1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918334
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918335
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918336
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918337
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cj1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cj1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ck1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ck1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ck1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cl1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cm1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cn1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cn1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.co1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.co1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.co1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cp1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cq1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cs1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cs1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ct1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ct1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cu1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cu1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cv1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cv1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cw1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cw1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cx1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cy1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cz1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cz1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918371
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.da1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.db1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dc1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dc1.a2', 'outer_equivalence': False, 'perfect': False, '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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dd1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dd1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.a1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.b1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.c1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.d1', 'outer_equivalence': False, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918392
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 307, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59918393
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 308, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59918394
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 309, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 310, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 311, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 312, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 313, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 314, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 315, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 316, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 317, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918408
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918418
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59918419
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.br1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918477
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 384, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918478
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 385, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918479
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 386, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918480
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 24, 'counter': 387, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918481
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 388, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918482
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 389, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918484
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 24, 'counter': 390, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 391, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918486
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 392, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918487
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 393, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 394, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918490
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918491
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918492
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.l1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.m1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.n1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918497
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918498
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.p1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918499
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.q1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918500
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.q1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918501
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.r1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918502
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.r1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918503
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.s1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918504
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.s1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918510
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.u1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918511
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.v1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918512
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.w1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918513
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.x1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918514
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918515
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918516
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.y2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y2.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918518
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918519
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918520
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.z2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z2.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ba1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bb1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bc1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918524
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bd1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bd1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bd1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918531
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bf1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918532
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bf1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918534
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918535
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg2.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918536
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg2.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918537
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918538
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918540
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh2.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918541
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh2.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.b2', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.c2', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.d2', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918551
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bj1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918552
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bk1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918553
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bk1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bk1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918554
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bl1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918555
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bm1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918556
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bn1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918557
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bo1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918558
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bp1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918560
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq2.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918562
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.br1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918563
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bs1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918564
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bt1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bu1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918566
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bv1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918567
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bv1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918568
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bw1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918569
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bw1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918570
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bx1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918571
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.by1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918573
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bz1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918574
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bz1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918575
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ca1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918576
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ca1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918577
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cb1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918578
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cb1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918579
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cc1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918580
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cc1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918581
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cd1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918582
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ce1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918584
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cf1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918585
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cg1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918586
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ch1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918587
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ci1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918588
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cj1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918589
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ck1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918590
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cl1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918591
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cm1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918592
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cn1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918593
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.co1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918595
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cp1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918596
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cp1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918597
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cq1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918598
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cq1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918609
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ct1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918610
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ct1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918611
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cu1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918612
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cu1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cv1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cv1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cw1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cw1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cx1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cx1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918620
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cy1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918621
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cy1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cy1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cz1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cz1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cz1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918624
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918625
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918626
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918627
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918629
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.db1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918630
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.db1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.db1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dc1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dc1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918633
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dd1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918634
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dd1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918635
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918636
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918637
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918638
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918640
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918641
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918642
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918643
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918644
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918645
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918646
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918647
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.b2', 'outer_equivalence': False, 'perfect': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918648
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918649
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918651
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918652
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918653
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.e1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918654
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.f1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918655
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.g1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918656
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.h1', 'outer_equivalence': False, 'perfect': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.di1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.di1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.di1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.di1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918659
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918660
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918662
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918663
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dk1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dk1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.c1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.d1', 'outer_equivalence': False, 'perfect': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918670
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.a1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918671
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.a2', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918673
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.b1', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918674
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.b2', 'outer_equivalence': False, 'perfect': False, '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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918675
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 16, 'counter': 562, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', 'simple': False, 'solvable': True, 'special_labels': ['U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918676
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 563, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918677
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 564, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918678
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 16, 'counter': 565, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918679
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 566, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918680
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 567, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918681
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 568, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 569, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 570, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 571, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 572, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918687
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918688
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918690
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918691
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918692
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918693
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918695
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918696
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918699
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918701
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918704
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918706
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918707
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918708
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bc1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918711
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918712
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59918713
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918714
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918715
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918727
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918747
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918748
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918749
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918751
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918765
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918766
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918767
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918768
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bu1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918771
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918774
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918775
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918776
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918777
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918778
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918779
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918780
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918781
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918782
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ce1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918784
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918793
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918795
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918796
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918797
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ck1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ck1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ck1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918804
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918806
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.co1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.co1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.co1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ct1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ct1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cy1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918832
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.da1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59918833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.db1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dc1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59918838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918852
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 721, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 90, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918853
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 722, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918854
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 723, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918855
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 724, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.67', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 67, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918856
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 725, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 90, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918857
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918858
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918859
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918860
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918862
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918863
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918864
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918865
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918866
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918867
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918868
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918869
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918870
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918871
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918873
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918874
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918875
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918876
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918877
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918878
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918879
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.v1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918880
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918881
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918882
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918884
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.y1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918885
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918886
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918887
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918888
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 754, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918889
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 755, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918890
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 756, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918891
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918892
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918893
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918895
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918896
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918899
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918900
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918904
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918906
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918907
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918908
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918909
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918910
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918911
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918912
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918913
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918914
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918915
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918917
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918918
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bo2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bo2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918919
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918920
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918921
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918922
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918923
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bs1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bs1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918925
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918926
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918928
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918929
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bu2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bu2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918930
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918931
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918932
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918933
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918934
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bx1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918936
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918937
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918940
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918941
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918943
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918944
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918945
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918946
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918947
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918948
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918949
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 809, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918951
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 810, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918952
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 811, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918953
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 812, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59918954
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 813, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918955
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 814, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 134, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 8, 'counter': 815, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918957
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 8, 'counter': 816, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 136, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918958
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 817, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 135, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918959
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 818, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 135, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918960
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 8, 'counter': 819, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.160', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 160, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918962
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 820, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918963
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 821, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918964
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 822, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918965
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 823, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918966
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918967
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918969
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918970
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918971
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918973
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918974
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918975
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918976
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918977
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918978
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918979
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918980
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918986
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918987
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918988
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918989
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918990
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918991
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918992
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.y2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59918993
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918995
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918996
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.z2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918997
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918998
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918999
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919000
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919001
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bd1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bd1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919007
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919008
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919009
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919010
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919011
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919012
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919013
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919014
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919015
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919017
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.c2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.d2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919026
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919028
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919029
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bk1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919030
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919031
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919032
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919033
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919034
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919035
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919036
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919037
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919039
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919040
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919041
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919042
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919043
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919044
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919045
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bw1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919046
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919047
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919048
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919051
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919052
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919053
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919054
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919055
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cb1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919056
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919057
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919058
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919059
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ce1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919060
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919062
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919063
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ch1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919064
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ci1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919066
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ck1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919067
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919068
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919069
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919070
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.co1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919071
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919074
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919075
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919087
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919088
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919096
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cy1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919097
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cy1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cy1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cz1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919100
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919101
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919102
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919103
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919104
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 949, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.96.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.db1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59919106
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 950, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.96.db1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.db1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59919107
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919108
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919109
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919110
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919112
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919114
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919115
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919117
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919118
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919119
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919120
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919121
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919122
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919123
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919125
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919126
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919131
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919132
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.di1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.di1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.di1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.di1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919136
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919137
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59919146
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59919151
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 991, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.850', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 850, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919152
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 992, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.128.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.853', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 853, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919153
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 993, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.128.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.630', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 630, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C7'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919154
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 994, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919155
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 995, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919156
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 996, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919157
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 997, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919158
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 998, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59919159
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 999, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918045
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 1000, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918046
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 1001, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918047
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 1002, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918048
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 1003, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918049
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 1004, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918050
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 1005, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59918051
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.128.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 59918052
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.128.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 59918053
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 1008, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.513', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 513, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U3'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918054
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 1009, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_6):C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918056
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 1010, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_6):C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918057
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 1011, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.772', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 772, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918058
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 1012, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.513', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 513, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918059
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918060
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918061
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918062
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918063
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918064
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918067
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918068
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1021, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918069
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1022, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918070
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918071
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918074
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918075
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918079
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918080
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918081
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.v1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918082
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918084
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.y1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918087
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918089
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918090
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1041, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918091
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1042, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918092
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1043, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918093
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918094
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918095
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918096
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918097
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918098
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918100
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918101
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918102
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918103
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918104
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918106
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918107
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918108
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918109
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918112
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918114
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918115
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918116
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918117
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918118
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918119
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bo2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918120
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1069, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918122
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918123
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918125
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918126
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bs1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bs1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918127
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bu2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918131
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1079, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918134
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918136
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918137
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918138
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918141
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918142
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918144
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918146
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59918150
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1096, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918151
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1097, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918152
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1098, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918153
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1099, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59918156
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 3, 'counter': 1100, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '768.87077.256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.6074', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6074, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': True, 'solvable': True, 'special_labels': ['L4', 'C8'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 59918157
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 1101, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.384.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.2590', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2590, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times D_6):C_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918158
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 1102, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.384.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.2591', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2591, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).D_{12}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918159
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 1103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.384.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.4119', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4119, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_{12}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918160
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1104, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918161
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918162
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918163
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918164
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1108, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918165
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1109, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918167
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1110, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1111, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918169
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1112, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918170
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918171
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918172
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918173
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1116, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918174
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59918175
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 1, 'counter': 1118, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '768.87077.768.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '768.87077', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 87077, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_{12}).D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U4', 'D2', 'C9'], '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: 59918078
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.t1.a1', '96.m1.a1', '96.bq1.a1', '96.bq2.a1', '96.bw1.a1', '96.bw1.a2'], 'contains': ['384.b1.a1', '384.m1.a1', '384.m1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 80], 'label': '768.87077.192.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918097
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.a1', '96.r1.a1', '96.bk1.a1', '96.bz1.a1', '96.dc1.a1', '96.df1.a1'], 'contains': ['384.d1.a1', '384.g1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454], 'label': '768.87077.192.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918098
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.b1', '96.r1.a1', '96.bk1.a2', '96.bz1.b1', '96.dc1.a1', '96.df1.b1'], 'contains': ['384.d1.a1', '384.g1.b1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [76, 70], 'label': '768.87077.192.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918099
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1'], 'contains': ['16.h1.a1', '16.ct1.b1', '24.bq1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 256, 16, 388, 82, 400], 'label': '768.87077.8.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.b1', 'old_label': '8.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918042
    {'ambient': '768.87077', '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': '192.a1.a1', 'complements': ['768.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.e1.a1', '2.e1.b1', '3.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 256, 452, 64, 8, 2, 16, 384, 32], 'label': '768.87077.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.b1', '2.d1.a1', '2.e1.b1', '2.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918043
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '8.o1.a1', '8.be1.a1', '8.bk1.a1', '8.bk1.b1', '8.bl1.a1', '8.bl1.b1', '8.bn1.a1', '8.bn1.b1', '12.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 256, 384, 2, 16, 452, 64], 'label': '768.87077.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '8.a1.a1', '8.c1.a1', '8.f1.a1', '8.d1.a1', '8.g1.a1', '8.e1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918044
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.cd1.b1', '16.ce1.a1', '16.cf1.a1', '16.cg1.c1', '16.cg1.d1', '16.ch1.c1', '16.ch1.d1', '16.cu1.b1', '16.cv1.b1', '16.cx1.a1', '16.cy1.a1', '16.de1.c1', '16.de1.d1', '16.df1.c1', '16.df1.d1', '24.bn1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 256, 2, 452, 448], 'label': '768.87077.8.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918045
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1.a1', '64.p1.a1', '64.w1.a1', '64.be1.a1', '64.be1.b1', '64.bf1.a1', '64.bf1.b1', '64.bw1.a1', '64.bw1.b1', '64.bx1.a1', '64.bx1.b1', '64.by1.a1', '64.by1.a2', '64.by1.b1', '64.by1.b2'], 'contains': ['256.a1.a1', '384.h1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256], 'label': '768.87077.128.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '128.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918046
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '64.q1.a1', '64.x1.a1', '64.bg1.a1', '64.bg1.b1', '64.bg1.c1', '64.bg1.d1', '64.bk1.a1', '64.br1.a1', '64.bw1.a1', '64.bw1.b1'], 'contains': ['256.a1.a1', '384.i1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 256], 'label': '768.87077.128.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918047
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '64.r1.a1', '64.y1.a1', '64.bi1.a1', '64.bi1.c1', '64.bl1.a1', '64.bs1.a1', '64.bs1.a2', '64.by1.a1', '64.by1.a2', '64.bz1.a1', '64.bz1.b1', '64.bz2.a1', '64.bz2.a2'], 'contains': ['256.a1.a1', '384.j1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388, 256], 'label': '768.87077.128.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '128.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918048
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '64.r1.a1', '64.y1.b1', '64.bi1.b1', '64.bi1.d1', '64.bl1.b1', '64.bs1.a1', '64.bs1.a2', '64.by1.b1', '64.by1.b2', '64.bz1.c1', '64.bz1.d1', '64.bz2.b1', '64.bz2.b2'], 'contains': ['256.a1.a1', '384.j1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 256], 'label': '768.87077.128.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '128.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918049
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '64.q1.a1', '64.z1.a1', '64.bh1.a1', '64.bh1.b1', '64.bh1.c1', '64.bh1.d1', '64.bm1.a1', '64.br1.a1', '64.bx1.a1', '64.bx1.b1', '64.ca1.a1', '64.ca1.b1', '64.ca1.c1', '64.ca1.d1'], 'contains': ['256.a1.a1', '384.k1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 256], 'label': '768.87077.128.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918050
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.j1.a1', '64.s1.a1', '64.ba1.a1', '64.bi1.a1', '64.bi1.b1', '64.bi1.c1', '64.bi1.d1', '64.bn1.a1', '64.bt1.a1', '64.by1.a1', '64.by1.a2', '64.by1.b1', '64.by1.b2'], 'contains': ['256.a1.a1', '384.l1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 256], 'label': '768.87077.128.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '128.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918051
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.a1', '64.t1.a1', '64.bb1.a1', '64.bo1.a1', '64.bo2.a1', '64.bu1.a1', '64.bu2.a1', '64.bz1.a1', '64.bz1.c1', '64.bz2.a1', '64.bz2.a2', '64.bz2.b1', '64.bz2.b2'], 'contains': ['256.a1.a1', '384.m1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 256], 'label': '768.87077.128.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '128.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918052
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.b1', '64.t1.a1', '64.bb1.a1', '64.bo1.b1', '64.bo2.a1', '64.bu1.b1', '64.bu2.a1', '64.bz1.b1', '64.bz1.d1', '64.bz2.a1', '64.bz2.a2', '64.bz2.b1', '64.bz2.b2'], 'contains': ['256.a1.a1', '384.m1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 256], 'label': '768.87077.128.m1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '128.m1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.m1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918053
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1', '96.i1.a1', '96.j1.a1', '96.k1.a1', '96.l1.a1', '96.m1.a1', '96.n1.a1', '96.o1.a1', '96.p1.a1'], 'contains': ['384.a1.a1', '384.b1.a1', '384.c1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 16], 'label': '768.87077.192.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normal_contains': ['384.c1.a1', '384.b1.a1', '384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918054
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['4.s1.d1', '4.s1.b1', '4.s1.c1', '4.s1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '96.a1.a1', '96.q1.a1', '96.r1.a1', '96.s1.a1', '96.t1.a1', '96.t1.b1'], 'contains': ['384.a1.a1', '384.d1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64], 'label': '768.87077.192.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.a1', 'normal_contained_in': ['64.b1.a1', '96.a1.a1'], 'normal_contains': ['384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918055
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.cd1.a1', '16.ci1.a1', '16.ci1.b1', '16.cz1.a1', '16.cz1.b1', '16.dg1.a1', '16.dg1.b1', '24.bo1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 390, 476, 448, 256], 'label': '768.87077.8.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918056
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['4.s1.d1', '4.s1.b1', '4.s1.c1', '4.s1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.b1', '96.a1.a1', '96.q1.b1', '96.r1.b1', '96.s1.b1', '96.t1.c1', '96.t1.d1'], 'contains': ['384.a1.a1', '384.d1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26, 64], 'label': '768.87077.192.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.b1', 'normal_contained_in': ['64.b1.b1', '96.a1.a1'], 'normal_contains': ['384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918057
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '96.b1.a1', '96.d1.a1', '96.e1.a1', '96.e1.b1', '96.f1.a1', '96.g1.a1', '96.g1.b1', '96.bx1.a1', '96.cd1.a1', '96.ce1.a1', '96.cf1.a1', '96.cg1.a1', '96.ch1.a1'], 'contains': ['384.c1.a1', '384.e1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384, 16], 'label': '768.87077.192.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.c1.a1', 'normal_contained_in': ['64.c1.a1', '96.b1.a1', '96.e1.b1', '96.e1.a1', '96.d1.a1', '96.f1.a1', '96.g1.a1', '96.g1.b1'], 'normal_contains': ['384.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918058
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '96.b1.a1', '96.h1.a1', '96.h1.b1', '96.by1.a1', '96.ci1.a1', '96.cj1.a1', '96.ck1.a1', '96.cl1.a1', '96.cm1.a1', '96.cn1.a1', '96.co1.a1'], 'contains': ['384.c1.a1', '384.f1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [448, 16], 'label': '768.87077.192.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.d1.a1', 'normal_contained_in': ['64.d1.a1', '96.b1.a1', '96.h1.b1', '96.h1.a1'], 'normal_contains': ['384.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918059
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.e1.a1', '96.b1.a1', '96.q1.a1', '96.q1.b1', '96.u1.a1', '96.v1.a1', '96.w1.a1', '96.x1.a1', '96.y1.a1', '96.y1.b1', '96.y2.a1', '96.z1.a1', '96.z1.b1', '96.z2.a1', '96.ba1.a1', '96.bb1.a1'], 'contains': ['384.a1.a1', '384.e1.a1', '384.f1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64, 384], 'label': '768.87077.192.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918060
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '96.i1.a1', '96.r1.a1', '96.r1.b1', '96.u1.a1', '96.bc1.a1'], 'contains': ['384.a1.a1', '384.g1.a1', '384.g1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64], 'label': '768.87077.192.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918061
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1.a1', '96.c1.a1', '96.q1.a1', '96.q1.b1', '96.bc1.a1', '96.bd1.a1', '96.bd1.a2', '96.be1.a1', '96.be1.b1', '96.be1.c1', '96.be1.d1'], 'contains': ['384.a1.a1', '384.h1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 64], 'label': '768.87077.192.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918062
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '96.j1.a1', '96.r1.a1', '96.r1.b1', '96.v1.a1', '96.bc1.a1', '96.bf1.a1', '96.bf1.b1'], 'contains': ['384.a1.a1', '384.i1.a1', '384.k1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 64], 'label': '768.87077.192.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918063
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '96.k1.a1', '96.s1.a1', '96.s1.b1', '96.w1.a1', '96.bd1.a1', '96.bd1.a2', '96.bg1.a1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.bh1.a1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2'], 'contains': ['384.a1.a1', '384.j1.a1', '384.j1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64], 'label': '768.87077.192.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918064
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.j1.a1', '96.l1.a1', '96.s1.a1', '96.s1.b1', '96.x1.a1', '96.bd1.a1', '96.bd1.a2', '96.bi1.a1', '96.bi1.a2', '96.bi1.b1', '96.bi1.b2', '96.bi1.c1', '96.bi1.c2', '96.bi1.d1', '96.bi1.d2'], 'contains': ['384.a1.a1', '384.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64], 'label': '768.87077.192.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918065
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.a1', '96.m1.a1', '96.t1.a1', '96.t1.c1', '96.y1.a1', '96.y2.a1', '96.be1.a1', '96.be1.b1', '96.bg1.a1', '96.bg2.a1', '96.bg2.a2', '96.bi1.a1', '96.bi1.a2', '96.bi1.b1', '96.bi1.b2'], 'contains': ['384.a1.a1', '384.m1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 64], 'label': '768.87077.192.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918066
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.cd1.b1', '16.ci1.c1', '16.ci1.d1', '16.cz1.a1', '16.cz1.b1', '16.dg1.c1', '16.dg1.d1', '24.bo1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 390, 92, 448, 256], 'label': '768.87077.8.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918067
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.b1', '96.m1.a1', '96.t1.b1', '96.t1.d1', '96.y1.b1', '96.y2.a1', '96.be1.c1', '96.be1.d1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.bi1.c1', '96.bi1.c2', '96.bi1.d1', '96.bi1.d2'], 'contains': ['384.a1.a1', '384.m1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 64], 'label': '768.87077.192.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918068
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.l1.a1', '96.p1.a1', '96.t1.a1', '96.t1.d1', '96.z1.a1', '96.z2.a1', '96.be1.a1', '96.be1.c1', '96.bh1.a1', '96.bh2.a1', '96.bh2.a2', '96.bi1.a1', '96.bi1.a2', '96.bi1.c1', '96.bi1.c2'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32], 'label': '768.87077.192.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918069
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.l1.b1', '96.p1.a1', '96.t1.b1', '96.t1.c1', '96.z1.b1', '96.z2.a1', '96.be1.b1', '96.be1.d1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2', '96.bi1.b1', '96.bi1.b2', '96.bi1.d1', '96.bi1.d2'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48], 'label': '768.87077.192.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918070
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.m1.a1', '96.a1.a1', '96.bj1.a1', '96.bk1.a1', '96.bk1.a2', '96.bl1.a1'], 'contains': ['384.b1.a1', '384.d1.a1', '384.d1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 80], 'label': '768.87077.192.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918071
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.n1.a1', '96.b1.a1', '96.bj1.a1', '96.bm1.a1', '96.bn1.a1', '96.bo1.a1', '96.bp1.a1', '96.bq1.a1', '96.bq2.a1', '96.br1.a1', '96.bs1.a1'], 'contains': ['384.b1.a1', '384.e1.a1', '384.f1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [80, 384], 'label': '768.87077.192.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918072
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.o1.a1', '96.i1.a1', '96.bk1.a1', '96.bk1.a2', '96.bm1.a1', '96.bt1.a1'], 'contains': ['384.b1.a1', '384.g1.a1', '384.g1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80], 'label': '768.87077.192.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918073
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.a1', '96.c1.a1', '96.bj1.a1', '96.bt1.a1', '96.bu1.a1'], 'contains': ['384.b1.a1', '384.h1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 80], 'label': '768.87077.192.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '192.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918074
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.q1.a1', '96.j1.a1', '96.bk1.a1', '96.bk1.a2', '96.bn1.a1', '96.bt1.a1', '96.bv1.a1', '96.bv1.b1'], 'contains': ['384.b1.a1', '384.i1.a1', '384.k1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 80], 'label': '768.87077.192.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918075
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.r1.a1', '96.k1.a1', '96.bl1.a1', '96.bo1.a1', '96.bu1.a1', '96.bw1.a1', '96.bw1.a2'], 'contains': ['384.b1.a1', '384.j1.a1', '384.j1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80], 'label': '768.87077.192.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918076
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.s1.a1', '96.l1.a1', '96.bl1.a1', '96.bp1.a1', '96.bu1.a1'], 'contains': ['384.b1.a1', '384.l1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80], 'label': '768.87077.192.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '192.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918077
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.h1.a1', '16.cm1.a1', '16.cn1.a1', '16.co1.a1', '16.cs1.b1', '24.bp1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 66, 388, 400], 'label': '768.87077.8.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918079
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.u1.a1', '96.a1.a1', '96.bx1.a1', '96.by1.a1', '96.bz1.a1', '96.bz1.b1', '96.ca1.a1', '96.ca1.b1', '96.cb1.a1', '96.cb1.b1', '96.cc1.a1', '96.cc1.b1'], 'contains': ['384.c1.a1', '384.d1.a1', '384.d1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 16], 'label': '768.87077.192.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918080
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.v1.a1', '96.h1.a1', '96.i1.a1', '96.bz1.a1', '96.ca1.a1', '96.cd1.a1', '96.cp1.a1', '96.cq1.a1', '96.cr1.a1', '96.cr1.b1', '96.cs1.a1', '96.cs1.b1'], 'contains': ['384.c1.a1', '384.g1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16], 'label': '768.87077.192.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918081
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.v1.b1', '96.h1.b1', '96.i1.a1', '96.bz1.b1', '96.ca1.b1', '96.cd1.a1', '96.cp1.b1', '96.cq1.b1', '96.cr1.c1', '96.cr1.d1', '96.cs1.c1', '96.cs1.d1'], 'contains': ['384.c1.a1', '384.g1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 16], 'label': '768.87077.192.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918082
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.w1.a1', '96.c1.a1', '96.bx1.a1', '96.by1.a1', '96.cp1.a1', '96.cp1.b1', '96.cq1.a1', '96.cq1.b1', '96.ct1.a1', '96.ct1.b1', '96.cu1.a1', '96.cu1.b1'], 'contains': ['384.c1.a1', '384.h1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 16], 'label': '768.87077.192.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918083
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.x1.a1', '96.d1.a1', '96.j1.a1', '96.bz1.a1', '96.bz1.b1', '96.ci1.a1', '96.cp1.a1', '96.cp1.b1', '96.cv1.a1', '96.cv1.b1', '96.cw1.a1', '96.cw1.a2'], 'contains': ['384.c1.a1', '384.i1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 16], 'label': '768.87077.192.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918084
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.y1.a1', '96.e1.a1', '96.k1.a1', '96.cb1.a1', '96.cj1.a1', '96.cr1.a1', '96.cr1.c1', '96.ct1.a1', '96.cv1.a1', '96.cx1.a1', '96.cy1.a1'], 'contains': ['384.c1.a1', '384.j1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [388, 16], 'label': '768.87077.192.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918085
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.y1.b1', '96.e1.b1', '96.k1.a1', '96.cb1.b1', '96.cj1.a1', '96.cr1.b1', '96.cr1.d1', '96.ct1.b1', '96.cv1.b1', '96.cx1.b1', '96.cy1.b1'], 'contains': ['384.c1.a1', '384.j1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 16], 'label': '768.87077.192.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918086
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.z1.a1', '96.f1.a1', '96.j1.a1', '96.ca1.a1', '96.ca1.b1', '96.ci1.a1', '96.cq1.a1', '96.cq1.b1', '96.cx1.a1', '96.cx1.b1', '96.cz1.a1', '96.cz1.a2', '96.da1.a1', '96.da1.b1', '96.da1.c1', '96.da1.d1'], 'contains': ['384.c1.a1', '384.k1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [390, 16], 'label': '768.87077.192.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918087
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ba1.a1', '96.l1.a1', '96.cb1.a1', '96.cb1.b1', '96.ce1.a1', '96.ck1.a1', '96.cs1.a1', '96.cs1.b1', '96.cs1.c1', '96.cs1.d1', '96.ct1.a1', '96.ct1.b1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'contains': ['384.c1.a1', '384.l1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 16], 'label': '768.87077.192.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918088
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.h1.b1', '16.cm1.a1', '16.cn1.b1', '16.co1.b1', '16.cs1.a1', '24.bp1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 2, 452, 400], 'label': '768.87077.8.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918089
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bb1.a1', '96.m1.a1', '96.cf1.a1', '96.cl1.a1', '96.cy1.a1', '96.cy1.b1'], 'contains': ['384.c1.a1', '384.m1.a1', '384.m1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 16], 'label': '768.87077.192.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918090
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bc1.a1', '96.g1.a1', '96.n1.a1', '96.cc1.a1', '96.cm1.a1', '96.cs1.a1', '96.cs1.c1', '96.cu1.a1', '96.cv1.b1', '96.cx1.a1', '96.db1.a1'], 'contains': ['384.c1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2], 'label': '768.87077.192.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '192.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918091
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bc1.b1', '96.g1.b1', '96.n1.a1', '96.cc1.b1', '96.cm1.a1', '96.cs1.b1', '96.cs1.d1', '96.cu1.b1', '96.cv1.a1', '96.cx1.b1', '96.db1.b1'], 'contains': ['384.c1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [66], 'label': '768.87077.192.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '192.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918092
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bd1.a1', '96.o1.a1', '96.cc1.a1', '96.cc1.b1', '96.cg1.a1', '96.cn1.a1', '96.cr1.a1', '96.cr1.b1', '96.cr1.c1', '96.cr1.d1', '96.cu1.a1', '96.cu1.b1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'contains': ['384.c1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8], 'label': '768.87077.192.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918093
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.be1.a1', '96.q1.a1', '96.bj1.a1', '96.bx1.a1', '96.dc1.a1', '96.dd1.a1', '96.de1.a1', '96.de1.b1'], 'contains': ['384.d1.a1', '384.e1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 384], 'label': '768.87077.192.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918094
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.be1.b1', '96.q1.b1', '96.bj1.a1', '96.bx1.a1', '96.dc1.b1', '96.dd1.b1', '96.de1.c1', '96.de1.d1'], 'contains': ['384.d1.b1', '384.e1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 384], 'label': '768.87077.192.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918095
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.a1', '96.q1.a1', '96.bj1.a1', '96.by1.a1', '96.df1.a1', '96.df1.b1', '96.dg1.a1', '96.dg1.a2'], 'contains': ['384.d1.a1', '384.f1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 448], 'label': '768.87077.192.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918096
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.b1', '96.q1.b1', '96.bj1.a1', '96.by1.a1', '96.df1.c1', '96.df1.d1', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.d1.b1', '384.f1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 448], 'label': '768.87077.192.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918100
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.c1', '96.r1.b1', '96.bk1.a2', '96.bz1.a1', '96.dc1.b1', '96.df1.c1'], 'contains': ['384.d1.b1', '384.g1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 454], 'label': '768.87077.192.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918101
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.d1', '96.r1.b1', '96.bk1.a1', '96.bz1.b1', '96.dc1.b1', '96.df1.d1'], 'contains': ['384.d1.b1', '384.g1.b1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 70], 'label': '768.87077.192.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918102
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.a1', '96.r1.a1', '96.bk1.a2', '96.ca1.a1', '96.dd1.a1', '96.df1.a1', '96.dh1.a1', '96.dh1.b1'], 'contains': ['384.d1.a1', '384.g1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [12, 6], 'label': '768.87077.192.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918103
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.b1', '96.r1.a1', '96.bk1.a1', '96.ca1.b1', '96.dd1.a1', '96.df1.b1', '96.dh1.c1', '96.dh1.d1'], 'contains': ['384.d1.a1', '384.g1.b1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [396, 390], 'label': '768.87077.192.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918104
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.c1', '96.r1.b1', '96.bk1.a1', '96.ca1.a1', '96.dd1.b1', '96.df1.c1', '96.dh1.e1', '96.dh1.f1'], 'contains': ['384.d1.b1', '384.g1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [28, 6], 'label': '768.87077.192.bh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918105
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.d1', '96.r1.b1', '96.bk1.a2', '96.ca1.b1', '96.dd1.b1', '96.df1.d1', '96.dh1.g1', '96.dh1.h1'], 'contains': ['384.d1.b1', '384.g1.b1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [412, 390], 'label': '768.87077.192.bh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918106
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.a1', '96.s1.a1', '96.bl1.a1', '96.cb1.a1', '96.de1.a1', '96.dg1.a1', '96.dg1.a2'], 'contains': ['384.d1.a1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388], 'label': '768.87077.192.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918107
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.b1', '96.s1.a1', '96.bl1.a1', '96.cb1.b1', '96.de1.b1', '96.dg1.a1', '96.dg1.a2'], 'contains': ['384.d1.a1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452], 'label': '768.87077.192.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918108
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.c1', '96.s1.b1', '96.bl1.a1', '96.cb1.a1', '96.de1.c1', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.d1.b1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388], 'label': '768.87077.192.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918109
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.d1', '96.s1.b1', '96.bl1.a1', '96.cb1.b1', '96.de1.d1', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.d1.b1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452], 'label': '768.87077.192.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918110
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.h1.b1', '16.ct1.a1', '24.bq1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 256, 16, 452, 2, 384], 'label': '768.87077.8.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918111
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bj1.a1', '96.u1.a1', '96.bm1.a1', '96.cd1.a1', '96.dc1.a1', '96.dc1.b1', '96.dd1.a1', '96.dd1.b1'], 'contains': ['384.e1.a1', '384.g1.a1', '384.g1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 384], 'label': '768.87077.192.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918112
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bk1.a1', '96.d1.a1', '96.v1.a1', '96.bn1.a1', '96.dc1.a1', '96.dc1.b1', '96.di1.a1', '96.di1.b1'], 'contains': ['384.e1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 384], 'label': '768.87077.192.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918113
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bl1.a1', '96.e1.a1', '96.w1.a1', '96.bo1.a1', '96.de1.a1', '96.de1.c1', '96.dj1.a1', '96.dj1.b1'], 'contains': ['384.e1.a1', '384.j1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388, 384], 'label': '768.87077.192.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918114
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bl1.b1', '96.e1.b1', '96.w1.a1', '96.bo1.a1', '96.de1.b1', '96.de1.d1', '96.dj1.c1', '96.dj1.d1'], 'contains': ['384.e1.a1', '384.j1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 384], 'label': '768.87077.192.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918115
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bm1.a1', '96.f1.a1', '96.v1.a1', '96.bn1.a1', '96.dd1.a1', '96.dd1.b1', '96.dk1.a1', '96.dk1.b1'], 'contains': ['384.e1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 384], 'label': '768.87077.192.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918116
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bn1.a1', '96.x1.a1', '96.bp1.a1', '96.ce1.a1', '96.de1.a1', '96.de1.b1', '96.de1.c1', '96.de1.d1'], 'contains': ['384.e1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 384], 'label': '768.87077.192.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918117
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bo1.a1', '96.y1.a1', '96.bq2.a1', '96.cf1.a1', '96.di1.a1', '96.dj1.b1', '96.dj1.d1', '96.dk1.a1'], 'contains': ['384.e1.a1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 384], 'label': '768.87077.192.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '192.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918118
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bo1.b1', '96.y1.b1', '96.bq2.a1', '96.cf1.a1', '96.di1.b1', '96.dj1.a1', '96.dj1.c1', '96.dk1.b1'], 'contains': ['384.e1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 384], 'label': '768.87077.192.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '192.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918119
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bo2.a1', '96.y2.a1', '96.bq1.a1', '96.cf1.a1', '96.dj1.a1', '96.dj1.b1', '96.dj1.c1', '96.dj1.d1'], 'contains': ['384.e1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 400], 'label': '768.87077.192.bo2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bo2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918120
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bp1.a1', '96.bb1.a1', '96.bs1.a1', '96.ch1.a1', '96.di1.a1', '96.di1.b1', '96.dk1.a1', '96.dk1.b1'], 'contains': ['384.e1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40], 'label': '768.87077.192.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '192.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918121
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.s1.a1', '4.s1.b1'], 'contains': ['16.i1.a1', '16.cn1.a1', '16.co1.a1', '16.cq1.a1', '16.cs1.a1', '24.br1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 2, 388, 400], 'label': '768.87077.8.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918122
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bq1.a1', '96.h1.a1', '96.u1.a1', '96.bm1.a1', '96.df1.a1', '96.df1.c1', '96.dl1.a1', '96.dl1.b1'], 'contains': ['384.f1.a1', '384.g1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 448], 'label': '768.87077.192.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918123
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bq1.b1', '96.h1.b1', '96.u1.a1', '96.bm1.a1', '96.df1.b1', '96.df1.d1', '96.dl1.c1', '96.dl1.d1'], 'contains': ['384.f1.a1', '384.g1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 448], 'label': '768.87077.192.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918124
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.br1.a1', '96.v1.a1', '96.bn1.a1', '96.ci1.a1', '96.df1.a1', '96.df1.b1', '96.df1.c1', '96.df1.d1'], 'contains': ['384.f1.a1', '384.i1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [454, 448], 'label': '768.87077.192.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918125
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bs1.a1', '96.w1.a1', '96.bo1.a1', '96.cj1.a1', '96.dg1.a1', '96.dg1.b1', '96.dm1.a1', '96.dm1.b1'], 'contains': ['384.f1.a1', '384.j1.a1', '384.j1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 448], 'label': '768.87077.192.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918126
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bs1.a2', '96.w1.a1', '96.bo1.a1', '96.cj1.a1', '96.dg1.a2', '96.dg1.b2', '96.dm1.a2', '96.dm1.b2'], 'contains': ['384.f1.a1', '384.j1.a1', '384.j1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 464], 'label': '768.87077.192.bs1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bs1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918127
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bt1.a1', '96.x1.a1', '96.bp1.a1', '96.ck1.a1', '96.dg1.a1', '96.dg1.a2', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.f1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 448], 'label': '768.87077.192.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918128
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bu1.a1', '96.y1.a1', '96.bq1.a1', '96.cl1.a1', '96.dl1.a1', '96.dl1.c1', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.f1.a1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 448], 'label': '768.87077.192.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '192.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918129
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bu1.b1', '96.y1.b1', '96.bq1.a1', '96.cl1.a1', '96.dl1.b1', '96.dl1.d1', '96.dm1.a1', '96.dm1.a2'], 'contains': ['384.f1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 448], 'label': '768.87077.192.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '192.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918130
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bu2.a1', '96.y2.a1', '96.bq2.a1', '96.cl1.a1', '96.dm1.a1', '96.dm1.a2', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.f1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 464], 'label': '768.87077.192.bu2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bu2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918131
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bv1.a1', '96.ba1.a1', '96.br1.a1', '96.co1.a1', '96.dl1.a1', '96.dl1.b1', '96.dl1.c1', '96.dl1.d1'], 'contains': ['384.f1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [418], 'label': '768.87077.192.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '192.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918132
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.s1.c1', '4.s1.d1'], 'contains': ['16.i1.b1', '16.cn1.b1', '16.co1.b1', '16.cq1.a1', '16.cs1.b1', '24.br1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 66, 452, 400], 'label': '768.87077.8.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918133
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bw1.a1', '96.bc1.a1', '96.bt1.a1', '96.cp1.a1', '96.dc1.a1', '96.dc1.b1', '96.df1.a1', '96.df1.c1'], 'contains': ['384.g1.a1', '384.h1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 70], 'label': '768.87077.192.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918134
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bw1.b1', '96.bc1.a1', '96.bt1.a1', '96.cp1.b1', '96.dc1.a1', '96.dc1.b1', '96.df1.b1', '96.df1.d1'], 'contains': ['384.g1.b1', '384.h1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454], 'label': '768.87077.192.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918135
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bx1.a1', '96.bc1.a1', '96.bt1.a1', '96.cq1.a1', '96.dd1.a1', '96.dd1.b1', '96.df1.a1', '96.df1.c1'], 'contains': ['384.g1.a1', '384.h1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [28, 390], 'label': '768.87077.192.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918136
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bx1.b1', '96.bc1.a1', '96.bt1.a1', '96.cq1.b1', '96.dd1.a1', '96.dd1.b1', '96.df1.b1', '96.df1.d1'], 'contains': ['384.g1.b1', '384.h1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 6], 'label': '768.87077.192.bx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918137
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.a1', '96.bd1.a1', '96.bu1.a1', '96.ct1.a1', '96.de1.a1', '96.de1.c1', '96.dg1.a2', '96.dg1.b1'], 'contains': ['384.h1.a1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 388], 'label': '768.87077.192.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918138
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.a2', '96.bd1.a2', '96.bu1.a1', '96.ct1.a1', '96.de1.a1', '96.de1.c1', '96.dg1.a1', '96.dg1.b2'], 'contains': ['384.h1.a1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 388], 'label': '768.87077.192.by1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918139
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.b1', '96.bd1.a1', '96.bu1.a1', '96.ct1.b1', '96.de1.b1', '96.de1.d1', '96.dg1.a1', '96.dg1.b2'], 'contains': ['384.h1.a1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452], 'label': '768.87077.192.by1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918140
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.b2', '96.bd1.a2', '96.bu1.a1', '96.ct1.b1', '96.de1.b1', '96.de1.d1', '96.dg1.a2', '96.dg1.b1'], 'contains': ['384.h1.a1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 452], 'label': '768.87077.192.by1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918141
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.a1', '96.bg1.a1', '96.bw1.a2', '96.cy1.a1', '96.dj1.b1', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.j1.a1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 404], 'label': '768.87077.192.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918142
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.b1', '96.bg1.b1', '96.bw1.a2', '96.cy1.a1', '96.dj1.a1', '96.dm1.a1', '96.dm1.a2'], 'contains': ['384.j1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 404], 'label': '768.87077.192.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918143
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.r1.a1', '4.r1.b1'], 'contains': ['16.i1.a1', '16.cr1.a1', '16.cr1.b1', '24.bs1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 384, 388, 256, 390], 'label': '768.87077.8.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918144
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.c1', '96.bg1.a1', '96.bw1.a1', '96.cy1.b1', '96.dj1.d1', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.j1.b1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 468], 'label': '768.87077.192.bz1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918145
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.d1', '96.bg1.b1', '96.bw1.a1', '96.cy1.b1', '96.dj1.c1', '96.dm1.a1', '96.dm1.a2'], 'contains': ['384.j1.b1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 468], 'label': '768.87077.192.bz1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918146
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.a1', '96.bg2.a1', '96.bw1.a1', '96.cy1.a1', '96.dj1.a1', '96.dj1.b1', '96.dm1.a1', '96.dm1.b2'], 'contains': ['384.j1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 388], 'label': '768.87077.192.bz2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918147
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.a2', '96.bg2.a2', '96.bw1.a1', '96.cy1.a1', '96.dj1.a1', '96.dj1.b1', '96.dm1.a2', '96.dm1.b1'], 'contains': ['384.j1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 388], 'label': '768.87077.192.bz2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918148
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.b1', '96.bg2.a1', '96.bw1.a2', '96.cy1.b1', '96.dj1.c1', '96.dj1.d1', '96.dm1.a2', '96.dm1.b1'], 'contains': ['384.j1.b1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452], 'label': '768.87077.192.bz2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918149
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.b2', '96.bg2.a2', '96.bw1.a2', '96.cy1.b1', '96.dj1.c1', '96.dj1.d1', '96.dm1.a1', '96.dm1.b2'], 'contains': ['384.j1.b1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452], 'label': '768.87077.192.bz2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918150
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.a1', '96.bf1.a1', '96.bv1.a1', '96.da1.a1', '96.dh1.a1', '96.dh1.c1', '96.dh1.e1', '96.dh1.g1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33], 'label': '768.87077.192.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918151
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.b1', '96.bf1.a1', '96.bv1.a1', '96.da1.b1', '96.dh1.b1', '96.dh1.d1', '96.dh1.f1', '96.dh1.h1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421], 'label': '768.87077.192.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918152
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.c1', '96.bf1.b1', '96.bv1.b1', '96.da1.c1', '96.dh1.a1', '96.dh1.d1', '96.dh1.e1', '96.dh1.h1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41], 'label': '768.87077.192.ca1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918153
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.d1', '96.bf1.b1', '96.bv1.b1', '96.da1.d1', '96.dh1.b1', '96.dh1.c1', '96.dh1.f1', '96.dh1.g1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [105], 'label': '768.87077.192.ca1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918154
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': ['192.ca1.a1', '192.ca1.b1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.h1.a1', '8.i1.a1', '8.m1.a1', '8.q1.a1', '8.x1.a1', '8.bg1.a1', '8.bj1.a1', '8.bj1.b1', '8.bj1.c1', '8.bj1.d1', '12.e1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 16, 32, 256, 452, 384], 'label': '768.87077.4.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.h1.a1', '8.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918155
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.r1.c1', '4.r1.d1'], 'contains': ['16.i1.b1', '16.cr1.c1', '16.cr1.d1', '24.bs1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 16, 400, 452, 256, 6], 'label': '768.87077.8.bs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918156
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '128.d1.a1', '128.d1.b1', '128.e1.a1', '128.f1.a1', '128.g1.a1', '128.g1.b1', '128.h1.a1', '128.i1.a1', '128.j1.a1', '128.j1.b1', '128.k1.a1', '128.l1.a1', '128.m1.a1', '128.m1.b1'], 'contains': ['768.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [256], 'label': '768.87077.256.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.a1.a1', 'normal_contained_in': ['128.c1.a1', '128.b1.a1', '128.a1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '256.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918157
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '192.a1.a1', '192.b1.a1', '192.b1.b1', '192.e1.a1', '192.f1.a1', '192.g1.a1', '192.h1.a1', '192.i1.a1', '192.j1.a1', '192.k1.a1', '192.k1.b1', '192.l1.a1', '192.l1.b1'], 'contains': ['768.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64], 'label': '768.87077.384.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1.a1', 'normal_contained_in': ['128.a1.a1', '192.a1.a1', '192.b1.a1', '192.b1.b1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918158
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1.a1', '192.a1.a1', '192.m1.a1', '192.n1.a1', '192.o1.a1', '192.p1.a1', '192.q1.a1', '192.r1.a1', '192.s1.a1', '192.t1.a1'], 'contains': ['768.a1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [80], 'label': '768.87077.384.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.b1.a1', 'normal_contained_in': ['128.b1.a1', '192.a1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918159
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.c1.a1', '192.a1.a1', '192.c1.a1', '192.d1.a1', '192.u1.a1', '192.v1.a1', '192.v1.b1', '192.w1.a1', '192.x1.a1', '192.y1.a1', '192.y1.b1', '192.z1.a1', '192.ba1.a1', '192.bb1.a1', '192.bc1.a1', '192.bc1.b1', '192.bd1.a1'], 'contains': ['768.a1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16], 'label': '768.87077.384.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.c1.a1', 'normal_contained_in': ['128.c1.a1', '192.a1.a1', '192.d1.a1', '192.c1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918160
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.a1', '192.b1.a1', '192.m1.a1', '192.u1.a1', '192.be1.a1', '192.bf1.a1', '192.bg1.a1', '192.bg1.b1', '192.bh1.a1', '192.bh1.b1', '192.bi1.a1', '192.bi1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10], 'label': '768.87077.384.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '384.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918161
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.b1', '192.b1.b1', '192.m1.a1', '192.u1.a1', '192.be1.b1', '192.bf1.b1', '192.bg1.c1', '192.bg1.d1', '192.bh1.c1', '192.bh1.d1', '192.bi1.c1', '192.bi1.d1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26], 'label': '768.87077.384.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '384.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918162
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.e1.a1', '192.c1.a1', '192.e1.a1', '192.n1.a1', '192.be1.a1', '192.be1.b1', '192.bj1.a1', '192.bk1.a1', '192.bl1.a1', '192.bl1.b1', '192.bm1.a1', '192.bn1.a1', '192.bo1.a1', '192.bo1.b1', '192.bo2.a1', '192.bp1.a1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384], 'label': '768.87077.384.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '384.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918163
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.f1.a1', '192.d1.a1', '192.e1.a1', '192.n1.a1', '192.bf1.a1', '192.bf1.b1', '192.bq1.a1', '192.bq1.b1', '192.br1.a1', '192.bs1.a1', '192.bs1.a2', '192.bt1.a1', '192.bu1.a1', '192.bu1.b1', '192.bu2.a1', '192.bv1.a1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [448], 'label': '768.87077.384.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '384.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918164
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.g1.a1', '192.f1.a1', '192.o1.a1', '192.v1.a1', '192.bg1.a1', '192.bg1.c1', '192.bh1.a1', '192.bh1.c1', '192.bj1.a1', '192.bq1.a1', '192.bw1.a1', '192.bx1.a1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476], 'label': '768.87077.384.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918165
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.g1.b1', '192.f1.a1', '192.o1.a1', '192.v1.b1', '192.bg1.b1', '192.bg1.d1', '192.bh1.b1', '192.bh1.d1', '192.bj1.a1', '192.bq1.b1', '192.bw1.b1', '192.bx1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92], 'label': '768.87077.384.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918166
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '4.s1.a1', '4.s1.b1'], 'contains': ['16.i1.a1', '16.ct1.a1', '24.bt1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 256, 16, 388, 2, 384], 'label': '768.87077.8.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918167
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.h1.a1', '192.g1.a1', '192.p1.a1', '192.w1.a1', '192.be1.a1', '192.be1.b1', '192.bf1.a1', '192.bf1.b1', '192.bw1.a1', '192.bw1.b1', '192.bx1.a1', '192.bx1.b1', '192.by1.a1', '192.by1.a2', '192.by1.b1', '192.by1.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394], 'label': '768.87077.384.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '384.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918168
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.i1.a1', '192.h1.a1', '192.q1.a1', '192.x1.a1', '192.bg1.a1', '192.bg1.b1', '192.bg1.c1', '192.bg1.d1', '192.bk1.a1', '192.br1.a1', '192.bw1.a1', '192.bw1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454], 'label': '768.87077.384.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918169
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.j1.a1', '192.i1.a1', '192.r1.a1', '192.y1.a1', '192.bi1.a1', '192.bi1.c1', '192.bl1.a1', '192.bs1.a1', '192.bs1.a2', '192.by1.a1', '192.by1.a2', '192.bz1.a1', '192.bz1.b1', '192.bz2.a1', '192.bz2.a2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388], 'label': '768.87077.384.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '384.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918170
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.j1.b1', '192.i1.a1', '192.r1.a1', '192.y1.b1', '192.bi1.b1', '192.bi1.d1', '192.bl1.b1', '192.bs1.a1', '192.bs1.a2', '192.by1.b1', '192.by1.b2', '192.bz1.c1', '192.bz1.d1', '192.bz2.b1', '192.bz2.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452], 'label': '768.87077.384.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '384.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918171
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.k1.a1', '192.h1.a1', '192.q1.a1', '192.z1.a1', '192.bh1.a1', '192.bh1.b1', '192.bh1.c1', '192.bh1.d1', '192.bm1.a1', '192.br1.a1', '192.bx1.a1', '192.bx1.b1', '192.ca1.a1', '192.ca1.b1', '192.ca1.c1', '192.ca1.d1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390], 'label': '768.87077.384.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918172
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.l1.a1', '192.j1.a1', '192.s1.a1', '192.ba1.a1', '192.bi1.a1', '192.bi1.b1', '192.bi1.c1', '192.bi1.d1', '192.bn1.a1', '192.bt1.a1', '192.by1.a1', '192.by1.a2', '192.by1.b1', '192.by1.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478], 'label': '768.87077.384.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '384.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918173
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.m1.a1', '192.k1.a1', '192.t1.a1', '192.bb1.a1', '192.bo1.a1', '192.bo2.a1', '192.bu1.a1', '192.bu2.a1', '192.bz1.a1', '192.bz1.c1', '192.bz2.a1', '192.bz2.a2', '192.bz2.b1', '192.bz2.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426], 'label': '768.87077.384.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '384.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918174
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.m1.b1', '192.k1.b1', '192.t1.a1', '192.bb1.a1', '192.bo1.b1', '192.bo2.a1', '192.bu1.b1', '192.bu2.a1', '192.bz1.b1', '192.bz1.d1', '192.bz2.a1', '192.bz2.a2', '192.bz2.b1', '192.bz2.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442], 'label': '768.87077.384.m1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '384.m1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918175
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1.a1', '384.a1.a1', '384.b1.a1', '384.c1.a1', '384.d1.a1', '384.d1.b1', '384.e1.a1', '384.f1.a1', '384.g1.a1', '384.g1.b1', '384.h1.a1', '384.i1.a1', '384.j1.a1', '384.j1.b1', '384.k1.a1', '384.l1.a1', '384.m1.a1', '384.m1.b1'], 'contains': [], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '768.87077.768.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.a1.a1', 'normal_contained_in': ['256.a1.a1', '384.c1.a1', '384.b1.a1', '384.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '768.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918176
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '4.s1.c1', '4.s1.d1'], 'contains': ['16.i1.b1', '16.ct1.b1', '24.bt1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 256, 16, 452, 82, 400], 'label': '768.87077.8.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918177
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.a1', '4.r1.c1'], 'contains': ['16.cp1.a1', '16.cr1.a1', '16.cr1.c1', '24.bu1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 16, 400, 8, 256, 6], 'label': '768.87077.8.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918178
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.b1', '4.r1.c1'], 'contains': ['16.cp1.a1', '16.cr1.a1', '16.cr1.d1', '24.bu1.b1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 384, 8, 256, 390], 'label': '768.87077.8.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918179
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.a1', '4.r1.d1'], 'contains': ['16.cp1.a1', '16.cr1.b1', '16.cr1.c1', '24.bu1.c1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 16, 384, 8, 256, 390], 'label': '768.87077.8.bu1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918180
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.b1', '4.r1.d1'], 'contains': ['16.cp1.a1', '16.cr1.b1', '16.cr1.d1', '24.bu1.d1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 16, 400, 8, 256, 6], 'label': '768.87077.8.bu1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918181
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.cu1.a1', '16.cw1.a1', '16.da1.a1', '16.db1.a1', '16.dc1.a1', '16.dc1.a2', '24.bv1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 256, 16, 418, 452, 448], 'label': '768.87077.8.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918182
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.cu1.b1', '16.cw1.b1', '16.da1.a1', '16.db1.a1', '16.dc1.a1', '16.dc1.a2', '24.bv1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 256, 16, 418, 452, 448], 'label': '768.87077.8.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918183
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1'], 'contains': ['16.cv1.a1', '16.dd1.a1', '16.dd1.b1', '24.bw1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 476, 2, 448], 'label': '768.87077.8.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '8.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918184
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['192.ca1.b1', '192.ca1.a1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.j1.a1', '8.k1.a1', '8.n1.a1', '8.y1.a1', '12.f1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 16, 400, 418, 256, 452, 64], 'label': '768.87077.4.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.j1.a1', '8.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918185
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1'], 'contains': ['16.cv1.b1', '16.dd1.a1', '16.dd1.b1', '24.bw1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 92, 2, 464], 'label': '768.87077.8.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '8.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918186
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '24.d1.a1', '24.e1.a1', '24.f1.a1', '24.g1.a1', '24.k1.a1', '24.be1.a1', '24.bk1.a1', '24.bk1.b1', '24.bl1.a1', '24.bl1.b1', '24.bn1.a1', '24.bn1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 2, 452, 384, 64], 'label': '768.87077.12.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.a1.a1', '24.c1.a1', '24.f1.a1', '24.d1.a1', '24.g1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918187
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.a1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.f1.a1', '24.h1.c1', '24.h1.d1', '24.r1.a1', '24.bs1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 452, 64], 'label': '768.87077.12.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.g1.a1', '6.a1.a1'], 'normal_contains': ['24.f1.a1', '24.h1.d1', '24.h1.c1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918188
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.a1.a1', '6.d1.b1', '6.e1.b1'], 'contains': ['24.f1.a1', '24.h1.a1', '24.h1.b1', '24.r1.b1', '24.bs1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 452, 64], 'label': '768.87077.12.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': ['4.g1.b1', '6.a1.a1'], 'normal_contains': ['24.f1.a1', '24.h1.a1', '24.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918189
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '24.i1.a1', '24.j1.a1', '24.o1.a1', '24.p1.a1', '24.q1.a1', '24.s1.a1', '24.bi1.a1', '24.bi1.b1', '24.bi1.c1', '24.bi1.d1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 32, 454, 16], 'label': '768.87077.12.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918190
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.l1.a1', '24.r1.a1', '24.r1.b1', '24.bf1.a1', '24.bm1.a1', '24.bm1.b1', '24.bm1.c1', '24.bm1.d1', '24.bo1.a1', '24.bo1.b1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 476, 64, 384], 'label': '768.87077.12.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918191
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.i1.a1', '24.m1.a1', '24.t1.a1', '24.u1.a1', '24.x1.a1', '24.bg1.a1', '24.bj1.a1', '24.bj1.b1', '24.bj1.c1', '24.bj1.d1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [10, 32, 452, 16, 384], 'label': '768.87077.12.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918192
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.j1.a1', '24.v1.a1', '24.w1.a1', '24.y1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [10, 418, 452], 'label': '768.87077.12.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918193
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '6.b1.a1'], 'contains': ['24.c1.a1', '24.i1.a1', '24.j1.a1', '24.z1.a1', '24.ba1.a1', '24.bb1.a1', '24.bd1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 32, 2], 'label': '768.87077.12.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918194
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1', '6.c1.a1'], 'contains': ['24.c1.a1', '24.n1.a1', '24.bc1.a1', '24.bc1.b1', '24.bh1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 8, 384], 'label': '768.87077.12.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918195
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['192.ca1.b1', '192.ca1.a1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.h1.a1', '8.j1.a1', '8.s1.a1', '8.ba1.a1', '8.bv1.a1', '8.bv1.b1', '12.i1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 448, 418, 256, 452, 384], 'label': '768.87077.4.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.d1.a1', '8.h1.a1', '8.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918196
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1'], 'contains': ['24.d1.a1', '24.o1.a1', '24.t1.a1', '24.v1.a1', '24.ba1.a1', '24.bv1.a1', '24.bv1.b1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8, 418, 452, 384], 'label': '768.87077.12.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918197
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.b1.a1'], 'contains': ['24.d1.a1', '24.p1.a1', '24.u1.a1', '24.w1.a1', '24.bd1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8, 32, 452], 'label': '768.87077.12.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918198
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1', '6.b1.a1'], 'contains': ['24.e1.a1', '24.o1.a1', '24.p1.a1', '24.x1.a1', '24.y1.a1', '24.z1.a1', '24.bb1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 32, 2], 'label': '768.87077.12.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918199
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1', '6.c1.a1'], 'contains': ['24.e1.a1', '24.bc1.a1', '24.bc1.b1', '24.bw1.a1', '24.bw1.b1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 476, 384], 'label': '768.87077.12.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918200
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1', '6.d1.a1', '6.d1.b1'], 'contains': ['24.f1.a1', '24.q1.a1', '24.t1.a1', '24.w1.a1', '24.z1.a1', '24.bp1.a1', '24.bp1.b1', '24.br1.a1', '24.br1.b1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [40, 2, 452, 64], 'label': '768.87077.12.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918201
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.b1.a1', '6.e1.a1', '6.e1.b1'], 'contains': ['24.f1.a1', '24.s1.a1', '24.u1.a1', '24.v1.a1', '24.bb1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [32, 2, 452], 'label': '768.87077.12.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918202
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.c1.a1', '6.d1.b1', '6.e1.a1'], 'contains': ['24.f1.a1', '24.bc1.a1', '24.bq1.b1', '24.bt1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 452, 64], 'label': '768.87077.12.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918203
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '6.c1.a1', '6.d1.a1', '6.e1.b1'], 'contains': ['24.f1.a1', '24.bc1.b1', '24.bq1.a1', '24.bt1.b1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9, 452, 64], 'label': '768.87077.12.o1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.o1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918204
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1.a1', '6.b1.a1'], 'contains': ['24.g1.a1', '24.q1.a1', '24.s1.a1', '24.x1.a1', '24.y1.a1', '24.ba1.a1', '24.bd1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 32, 454], 'label': '768.87077.12.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918205
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '6.a1.a1'], 'contains': ['24.g1.a1', '24.r1.a1', '24.r1.b1', '24.bu1.a1', '24.bu1.b1', '24.bu1.c1', '24.bu1.d1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8, 64], 'label': '768.87077.12.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918206
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['192.ca1.a1', '192.ca1.b1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.i1.a1', '8.k1.a1', '8.t1.a1', '8.bd1.a1', '12.j1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 384, 32, 256, 452, 448], 'label': '768.87077.4.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.d1.a1', '8.i1.a1', '8.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918207
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.a1', '6.a1.a1'], 'contains': ['24.h1.a1', '24.bl1.a1', '24.bm1.a1', '24.bm1.c1', '24.bs1.a1', '24.bu1.a1', '24.bu1.c1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 8, 388], 'label': '768.87077.12.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918208
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.b1', '6.a1.a1'], 'contains': ['24.h1.b1', '24.bl1.a1', '24.bm1.b1', '24.bm1.d1', '24.bs1.a1', '24.bu1.b1', '24.bu1.d1'], 'core': '24.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8, 388], 'label': '768.87077.12.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918209
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.c1', '6.a1.a1'], 'contains': ['24.h1.c1', '24.bl1.b1', '24.bm1.a1', '24.bm1.b1', '24.bs1.b1', '24.bu1.a1', '24.bu1.b1'], 'core': '24.h1.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8, 452], 'label': '768.87077.12.r1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918210
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.d1', '6.a1.a1'], 'contains': ['24.h1.d1', '24.bl1.b1', '24.bm1.c1', '24.bm1.d1', '24.bs1.b1', '24.bu1.c1', '24.bu1.d1'], 'core': '24.h1.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 8, 452], 'label': '768.87077.12.r1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918211
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.a1', '6.d1.b1'], 'contains': ['24.h1.a1', '24.br1.a1', '24.bt1.a1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 40], 'label': '768.87077.12.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '12.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918212
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.b1', '6.d1.b1'], 'contains': ['24.h1.b1', '24.br1.a1', '24.bt1.a1'], 'core': '24.h1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [65, 40], 'label': '768.87077.12.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '12.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918213
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.c1', '6.d1.a1'], 'contains': ['24.h1.c1', '24.br1.b1', '24.bt1.b1'], 'core': '24.h1.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [33, 40], 'label': '768.87077.12.s1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.s1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918214
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.d1', '6.d1.a1'], 'contains': ['24.h1.d1', '24.br1.b1', '24.bt1.b1'], 'core': '24.h1.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [97, 40], 'label': '768.87077.12.s1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.s1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918215
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.m1.a1', '8.n1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.q1.a1', '32.q1.b1', '32.bj1.a1', '32.bx1.a1', '32.by1.a1', '48.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 256, 64, 384, 16], 'label': '768.87077.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.b1.a1', '8.a1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918216
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.e1.a1', '8.s1.a1', '8.t1.a1'], 'contains': ['32.b1.a1', '32.h1.a1', '32.h1.b1', '32.i1.a1', '32.u1.a1', '32.bm1.a1', '32.cd1.a1', '48.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 256, 64, 384, 16], 'label': '768.87077.16.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.d1.a1', '8.e1.a1'], 'normal_contains': ['32.b1.a1', '32.h1.b1', '32.h1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918233
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.m1.a1', '8.t1.a1', '8.w1.a1', '8.x1.a1', '8.bb1.a1', '8.bd1.a1'], 'contains': ['32.b1.a1', '32.p1.a1', '32.z1.a1', '32.z1.b1', '32.z2.a1', '48.o1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 256, 384, 16, 64], 'label': '768.87077.16.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918217
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.d1.b1'], 'contains': ['8.f1.a1', '8.h1.a1', '8.k1.a1', '8.u1.a1', '8.z1.a1', '8.bp1.a1', '8.bp1.b1', '8.br1.a1', '8.br1.b1', '12.m1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40, 16, 400, 2, 256, 452, 64], 'label': '768.87077.4.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.b1', '2.d1.a1'], 'normal_contains': ['8.f1.a1', '8.h1.a1', '8.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918218
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1', '8.u1.a1', '8.v1.a1', '8.v1.b1', '8.w1.a1'], 'contains': ['32.b1.a1', '32.d1.a1', '32.f1.a1', '32.j1.a1', '32.v1.a1', '32.bn1.a1', '32.ci1.a1', '48.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 256, 64, 384, 16], 'label': '768.87077.16.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1'], 'normal_contains': ['32.b1.a1', '32.d1.a1', '32.f1.a1', '48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918219
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.f1.a1', '8.h1.a1', '8.i1.a1', '8.j1.a1', '8.k1.a1'], 'contains': ['32.b1.a1', '32.e1.a1', '32.e1.b1', '32.k1.a1', '32.w1.a1', '32.bo1.a1', '32.cj1.a1', '48.d1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [452, 256, 64, 384, 16], 'label': '768.87077.16.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1', '8.f1.a1', '8.d1.a1', '8.h1.a1', '8.i1.a1', '8.j1.a1', '8.k1.a1'], 'normal_contains': ['32.b1.a1', '32.e1.b1', '32.e1.a1', '48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918220
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.e1.a1', '8.g1.a1', '8.x1.a1', '8.y1.a1'], 'contains': ['32.b1.a1', '32.l1.a1', '32.x1.a1', '32.bp1.a1', '32.ce1.a1', '32.ck1.a1', '48.e1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [478, 256, 64, 384, 16], 'label': '768.87077.16.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.b1.a1', '8.g1.a1', '8.e1.a1'], 'normal_contains': ['32.b1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918221
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.e1.a1', '8.f1.a1', '8.z1.a1', '8.bb1.a1', '8.bc1.a1', '8.bc1.b1'], 'contains': ['32.b1.a1', '32.g1.a1', '32.g1.b1', '32.n1.a1', '32.cm1.a1', '48.f1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 64, 384, 256], 'label': '768.87077.16.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': ['8.c1.a1', '8.f1.a1', '8.e1.a1'], 'normal_contains': ['32.b1.a1', '32.g1.a1', '32.g1.b1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918222
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.d1.a1', '8.g1.a1', '8.ba1.a1', '8.bd1.a1'], 'contains': ['32.b1.a1', '32.o1.a1', '32.cg1.a1', '32.cn1.a1', '48.g1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 64, 384, 256], 'label': '768.87077.16.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': ['8.c1.a1', '8.d1.a1', '8.g1.a1'], 'normal_contains': ['32.b1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918223
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.bk1.a1', '8.bp1.a1', '8.bq1.a1'], 'contains': ['32.d1.a1', '32.e1.a1', '32.g1.b1', '32.cv1.a1', '48.h1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 16, 388, 384, 256], 'label': '768.87077.16.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.a1', 'normal_contained_in': ['8.f1.a1'], 'normal_contains': ['32.e1.a1', '32.d1.a1', '32.g1.b1', '48.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918224
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.bk1.b1', '8.bp1.b1', '8.bq1.b1'], 'contains': ['32.d1.a1', '32.e1.b1', '32.g1.a1', '32.cv1.b1', '48.h1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 452, 384, 256], 'label': '768.87077.16.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.b1', 'normal_contained_in': ['8.f1.a1'], 'normal_contains': ['32.e1.b1', '32.d1.a1', '32.g1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918225
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.l1.a1', '8.l1.b1', '8.bl1.a1', '8.br1.a1', '8.bs1.a1', '8.bt1.a1'], 'contains': ['32.e1.a1', '32.f1.a1', '32.g1.a1', '32.cx1.a1', '48.i1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 388, 384, 256], 'label': '768.87077.16.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.a1', 'normal_contained_in': ['8.f1.a1', '8.l1.a1', '8.l1.b1'], 'normal_contains': ['32.e1.a1', '32.f1.a1', '32.g1.a1', '48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918226
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.l1.c1', '8.l1.d1', '8.bl1.b1', '8.br1.b1', '8.bs1.b1', '8.bt1.b1'], 'contains': ['32.e1.b1', '32.f1.a1', '32.g1.b1', '32.cx1.b1', '48.i1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 16, 452, 384, 256], 'label': '768.87077.16.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.b1', 'normal_contained_in': ['8.f1.a1', '8.l1.d1', '8.l1.c1'], 'normal_contains': ['32.e1.b1', '32.f1.a1', '32.g1.b1', '48.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918227
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.o1.a1', '8.p1.a1'], 'contains': ['32.a1.a1', '32.i1.a1', '32.j1.a1', '32.r1.a1', '32.r1.b1', '32.bk1.a1', '32.bk1.a2', '32.bz1.a1', '32.bz1.b1', '32.ca1.a1', '32.ca1.b1', '48.j1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 454, 64, 16], 'label': '768.87077.16.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918228
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.f1.a1', '8.l1.c1', '8.l1.d1', '8.v1.a1', '8.bs1.a1', '12.b1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 384, 390, 452, 16, 64, 256], 'label': '768.87077.4.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.f1.a1', '8.l1.d1', '8.l1.c1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918229
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.o1.a1', '8.q1.a1'], 'contains': ['32.a1.a1', '32.k1.a1', '32.l1.a1', '32.s1.a1', '32.s1.b1', '32.bl1.a1', '32.cb1.a1', '32.cb1.b1', '48.k1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 452, 64, 16], 'label': '768.87077.16.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918230
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.q1.a1'], 'contains': ['32.a1.a1', '32.m1.a1', '32.p1.a1', '32.t1.a1', '32.t1.b1', '32.t1.c1', '32.t1.d1', '48.l1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 16, 64], 'label': '768.87077.16.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918231
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.o1.a1', '8.r1.a1'], 'contains': ['32.a1.a1', '32.n1.a1', '32.o1.a1', '32.cc1.a1', '32.cc1.b1', '48.m1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 2, 64, 256], 'label': '768.87077.16.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918232
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.m1.a1', '8.s1.a1', '8.u1.a1', '8.x1.a1', '8.z1.a1', '8.ba1.a1'], 'contains': ['32.b1.a1', '32.m1.a1', '32.y1.a1', '32.y1.b1', '32.y2.a1', '32.bq1.a1', '32.bq2.a1', '32.cf1.a1', '32.cl1.a1', '48.n1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 256, 64, 384, 16], 'label': '768.87077.16.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918234
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '8.n1.a1', '8.s1.a1', '8.w1.a1', '8.y1.a1', '8.ba1.a1', '8.bb1.a1'], 'contains': ['32.b1.a1', '32.ba1.a1', '32.br1.a1', '32.co1.a1', '48.p1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [418, 256, 384, 16, 464], 'label': '768.87077.16.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918235
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '8.n1.a1', '8.t1.a1', '8.u1.a1', '8.y1.a1', '8.z1.a1', '8.bd1.a1'], 'contains': ['32.b1.a1', '32.bb1.a1', '32.bs1.a1', '32.ch1.a1', '48.q1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 64, 16, 400], 'label': '768.87077.16.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918236
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.be1.a1', '8.bf1.a1'], 'contains': ['32.c1.a1', '32.i1.a1', '32.j1.a1', '32.bc1.a1', '32.bt1.a1', '32.cp1.a1', '32.cp1.b1', '32.cq1.a1', '32.cq1.b1', '48.r1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 256, 454, 64, 16], 'label': '768.87077.16.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918237
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.i1.a1', '32.k1.a1', '32.o1.a1', '32.cr1.a1', '32.cr1.b1', '32.cr1.c1', '32.cr1.d1', '48.s1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 452, 64, 256], 'label': '768.87077.16.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918238
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.i1.a1', '32.l1.a1', '32.n1.a1', '32.cs1.a1', '32.cs1.b1', '32.cs1.c1', '32.cs1.d1', '48.t1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 16, 2, 64, 256], 'label': '768.87077.16.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918239
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.b1', '2.e1.b1'], 'contains': ['8.f1.a1', '8.l1.a1', '8.l1.b1', '8.v1.b1', '8.bs1.b1', '12.b1.b1'], 'core': '4.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 400, 6, 452, 16, 64, 256], 'label': '768.87077.4.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': ['2.b1.a1', '2.d1.b1', '2.e1.b1'], 'normal_contains': ['8.f1.a1', '8.l1.a1', '8.l1.b1', '12.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918240
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.be1.a1', '8.bg1.a1'], 'contains': ['32.c1.a1', '32.k1.a1', '32.l1.a1', '32.bd1.a1', '32.bd1.a2', '32.bu1.a1', '32.ct1.a1', '32.ct1.b1', '48.u1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 256, 452, 64, 16], 'label': '768.87077.16.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918241
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bg1.a1'], 'contains': ['32.c1.a1', '32.m1.a1', '32.p1.a1', '32.be1.a1', '32.be1.b1', '32.be1.c1', '32.be1.d1', '48.v1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 32, 16, 64], 'label': '768.87077.16.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918242
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.be1.a1', '8.bh1.a1'], 'contains': ['32.c1.a1', '32.n1.a1', '32.o1.a1', '32.cu1.a1', '32.cu1.b1', '48.w1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 16, 2, 64, 256], 'label': '768.87077.16.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918243
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.j1.a1', '32.k1.a1', '32.n1.a1', '32.cv1.a1', '32.cv1.b1', '32.cx1.a1', '32.cx1.b1', '48.x1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 16, 452, 64, 256], 'label': '768.87077.16.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918244
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.j1.a1', '32.l1.a1', '32.o1.a1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2', '48.y1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 64, 256], 'label': '768.87077.16.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918245
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.v1.a1', '8.bf1.a1'], 'contains': ['32.j1.a1', '32.bf1.a1', '32.bv1.a1', '32.da1.a1', '32.da1.b1', '48.z1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 390, 64, 16, 256], 'label': '768.87077.16.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918246
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.v1.b1', '8.bf1.a1'], 'contains': ['32.j1.a1', '32.bf1.b1', '32.bv1.b1', '32.da1.c1', '32.da1.d1', '48.z1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 6, 64, 16, 256], 'label': '768.87077.16.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918247
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.q1.a1', '8.bg1.a1'], 'contains': ['32.k1.a1', '32.m1.a1', '32.bg1.a1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.bw1.a1', '32.bw1.a2', '32.cy1.a1', '32.cy1.b1', '48.ba1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 256, 452, 64, 16], 'label': '768.87077.16.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918248
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.q1.a1', '8.bg1.a1'], 'contains': ['32.k1.a1', '32.p1.a1', '32.bh1.a1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2', '48.bb1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 256, 452, 16, 64], 'label': '768.87077.16.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918249
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.x1.a1', '8.bg1.a1'], 'contains': ['32.l1.a1', '32.m1.a1', '32.p1.a1', '32.bi1.a1', '32.bi1.b1', '32.bi1.c1', '32.bi1.d1', '48.bc1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [94, 256, 32, 16, 64], 'label': '768.87077.16.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918250
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.e1.a1', '2.e1.b1'], 'contains': ['8.f1.a1', '8.i1.a1', '8.j1.a1', '8.w1.a1', '8.bb1.a1', '12.n1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32, 16, 384, 2, 256, 452, 64], 'label': '768.87077.4.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.a1.a1', '2.e1.b1', '2.e1.a1'], 'normal_contains': ['8.f1.a1', '8.i1.a1', '8.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918251
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.x1.a1', '8.bg1.a1'], 'contains': ['32.l1.a1', '32.m1.a1', '32.p1.a1', '32.bi1.a2', '32.bi1.b2', '32.bi1.c2', '32.bi1.d2', '48.bc1.a2'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 32, 16, 64], 'label': '768.87077.16.bc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918252
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '8.bc1.a1', '8.bh1.a1'], 'contains': ['32.n1.a1', '32.db1.a1', '48.bd1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 64, 2, 16], 'label': '768.87077.16.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '16.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918253
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '8.bc1.b1', '8.bh1.a1'], 'contains': ['32.n1.a1', '32.db1.b1', '48.bd1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 256, 64, 82, 16], 'label': '768.87077.16.bd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '16.bd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918254
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bi1.a1', '8.bi1.b1'], 'contains': ['32.q1.a1', '32.r1.a1', '32.u1.a1', '32.v1.a1', '32.bc1.a1', '32.dc1.a1', '32.dd1.a1', '32.df1.a1', '32.df1.b1', '48.be1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 454, 64, 384], 'label': '768.87077.16.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918255
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bi1.c1', '8.bi1.d1'], 'contains': ['32.q1.b1', '32.r1.b1', '32.u1.a1', '32.v1.a1', '32.bc1.a1', '32.dc1.b1', '32.dd1.b1', '32.df1.c1', '32.df1.d1', '48.be1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 454, 64, 384], 'label': '768.87077.16.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918256
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.q1.a1', '32.s1.a1', '32.w1.a1', '32.x1.a1', '32.bd1.a1', '32.bd1.a2', '32.de1.a1', '32.de1.b1', '32.dg1.a1', '32.dg1.a2', '48.bf1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 452, 64, 384], 'label': '768.87077.16.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918257
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.q1.b1', '32.s1.b1', '32.w1.a1', '32.x1.a1', '32.bd1.a1', '32.bd1.a2', '32.de1.c1', '32.de1.d1', '32.dg1.b1', '32.dg1.b2', '48.bf1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 452, 64, 384], 'label': '768.87077.16.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918258
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.a1', '8.bj1.b1'], 'contains': ['32.q1.a1', '32.t1.a1', '32.y1.a1', '32.z1.a1', '32.be1.a1', '48.bg1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 32, 384, 64], 'label': '768.87077.16.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918259
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.b1', '8.bj1.a1'], 'contains': ['32.q1.a1', '32.t1.b1', '32.y1.b1', '32.z1.b1', '32.be1.d1', '48.bg1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 48, 384, 64], 'label': '768.87077.16.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918260
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.c1', '8.bj1.d1'], 'contains': ['32.q1.b1', '32.t1.c1', '32.y1.a1', '32.z1.b1', '32.be1.b1', '48.bg1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 256, 48, 384, 64], 'label': '768.87077.16.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918261
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'contains': ['8.f1.a1', '8.bc1.a1', '8.bq1.b1', '8.bt1.a1', '12.o1.a1'], 'core': '4.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 16, 384, 452, 256, 64, 2], 'label': '768.87077.4.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'normal_contains': ['8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918262
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.d1', '8.bj1.c1'], 'contains': ['32.q1.b1', '32.t1.d1', '32.y1.b1', '32.z1.a1', '32.be1.c1', '48.bg1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 256, 32, 384, 64], 'label': '768.87077.16.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918263
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.q1.a1', '32.t1.a1', '32.t1.b1', '32.y2.a1', '32.z2.a1', '32.be1.b1', '32.be1.c1', '48.bg2.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 400, 64], 'label': '768.87077.16.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918264
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.q1.b1', '32.t1.c1', '32.t1.d1', '32.y2.a1', '32.z2.a1', '32.be1.a1', '32.be1.d1', '48.bg2.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 32, 400, 64], 'label': '768.87077.16.bg2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bg2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918265
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.bi1.a1', '8.bi1.b1'], 'contains': ['32.q1.a1', '32.ba1.a1', '32.bb1.a1', '48.bh1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 418, 64, 400], 'label': '768.87077.16.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918266
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.bi1.c1', '8.bi1.d1'], 'contains': ['32.q1.b1', '32.ba1.a1', '32.bb1.a1', '48.bh1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 418, 64, 400], 'label': '768.87077.16.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918267
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.r1.a1', '32.bf1.a1', '32.bf1.b1', '32.dh1.a1', '32.dh1.b1', '32.dh1.c1', '32.dh1.d1', '48.bi1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 460, 64, 256], 'label': '768.87077.16.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918268
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.r1.b1', '32.bf1.a1', '32.bf1.b1', '32.dh1.e1', '32.dh1.f1', '32.dh1.g1', '32.dh1.h1', '48.bi1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 476, 64, 256], 'label': '768.87077.16.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918269
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.b1'], 'contains': ['32.s1.a1', '32.t1.a1', '32.bg1.a1', '32.bh1.a1', '32.bi1.a1', '32.bi1.a2', '48.bj1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 452, 64], 'label': '768.87077.16.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918270
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.a1'], 'contains': ['32.s1.a1', '32.t1.b1', '32.bg1.b1', '32.bh1.b1', '32.bi1.d1', '32.bi1.d2', '48.bj1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 48, 452, 64], 'label': '768.87077.16.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918271
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.d1'], 'contains': ['32.s1.b1', '32.t1.c1', '32.bg1.a1', '32.bh1.b1', '32.bi1.b1', '32.bi1.b2', '48.bj1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 48, 452, 64], 'label': '768.87077.16.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918272
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.h1.a1', '4.j1.a1', '4.l1.a1', '4.n1.a1', '4.p1.a1', '6.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 448, 384, 32, 452, 256, 16, 2], 'label': '768.87077.2.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.f1.a1', '4.h1.a1', '4.d1.a1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918273
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'contains': ['8.f1.a1', '8.bc1.b1', '8.bq1.a1', '8.bt1.b1', '12.o1.b1'], 'core': '4.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 16, 400, 452, 256, 64, 82], 'label': '768.87077.4.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'normal_contains': ['8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918274
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.c1'], 'contains': ['32.s1.b1', '32.t1.d1', '32.bg1.b1', '32.bh1.a1', '32.bi1.c1', '32.bi1.c2', '48.bj1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 32, 452, 64], 'label': '768.87077.16.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918275
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.s1.a1', '32.t1.a1', '32.t1.b1', '32.bg2.a1', '32.bh2.a1', '32.bi1.b1', '32.bi1.c2', '48.bj2.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 468, 64], 'label': '768.87077.16.bj2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918276
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.s1.a1', '32.t1.a1', '32.t1.b1', '32.bg2.a2', '32.bh2.a2', '32.bi1.b2', '32.bi1.c1', '48.bj2.a2'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 48, 468, 64], 'label': '768.87077.16.bj2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918277
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.s1.b1', '32.t1.c1', '32.t1.d1', '32.bg2.a1', '32.bh2.a2', '32.bi1.a1', '32.bi1.d2', '48.bj2.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 48, 468, 64], 'label': '768.87077.16.bj2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918278
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.s1.b1', '32.t1.c1', '32.t1.d1', '32.bg2.a2', '32.bh2.a1', '32.bi1.a2', '32.bi1.d1', '48.bj2.b2'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 32, 468, 64], 'label': '768.87077.16.bj2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918279
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bi1.a1', '8.bi1.c1'], 'contains': ['32.u1.a1', '32.y1.a1', '32.ba1.a1', '32.dl1.a1', '32.dl1.c1', '48.bk1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 418, 400, 464], 'label': '768.87077.16.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918280
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bi1.b1', '8.bi1.d1'], 'contains': ['32.u1.a1', '32.y1.b1', '32.ba1.a1', '32.dl1.b1', '32.dl1.d1', '48.bk1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 418, 400, 464], 'label': '768.87077.16.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918281
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '8.bi1.a1', '8.bi1.d1'], 'contains': ['32.u1.a1', '32.z1.a1', '32.bb1.a1', '48.bl1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 32, 448, 384], 'label': '768.87077.16.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918282
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '8.bi1.b1', '8.bi1.c1'], 'contains': ['32.u1.a1', '32.z1.b1', '32.bb1.a1', '48.bl1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 48, 448, 384], 'label': '768.87077.16.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918283
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.bi1.a1', '8.bi1.c1'], 'contains': ['32.v1.a1', '32.y1.a1', '32.bb1.a1', '32.di1.a1', '32.dk1.a1', '48.bm1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [56, 256, 454, 64, 400], 'label': '768.87077.16.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918284
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.m1.a1', '8.n1.a1', '8.s1.a1', '8.t1.a1', '8.u1.a1', '8.w1.a1', '8.bi1.a1', '8.bi1.b1', '8.bi1.c1', '8.bi1.d1', '12.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 384, 448, 32, 256, 454, 16], 'label': '768.87077.4.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918285
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.bi1.b1', '8.bi1.d1'], 'contains': ['32.v1.a1', '32.y1.b1', '32.bb1.a1', '32.di1.b1', '32.dk1.b1', '48.bm1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 454, 64, 400], 'label': '768.87077.16.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918286
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '8.bi1.a1', '8.bi1.d1'], 'contains': ['32.v1.a1', '32.z1.a1', '32.ba1.a1', '48.bn1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 256, 454, 64, 384], 'label': '768.87077.16.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918287
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '8.bi1.b1', '8.bi1.c1'], 'contains': ['32.v1.a1', '32.z1.b1', '32.ba1.a1', '48.bn1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 256, 454, 64, 384], 'label': '768.87077.16.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918288
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.w1.a1', '32.y1.b1', '32.y2.a1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.dj1.a1', '32.dj1.c1', '32.dm1.a1', '32.dm1.a2', '48.bo1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 256, 452, 64, 384], 'label': '768.87077.16.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918289
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.w1.a1', '32.y1.a1', '32.y2.a1', '32.bg1.a1', '32.bg2.a1', '32.bg2.a2', '32.dj1.b1', '32.dj1.d1', '32.dm1.b1', '32.dm1.b2', '48.bo1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 256, 452, 64, 384], 'label': '768.87077.16.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918290
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.w1.a1', '32.z1.b1', '32.z2.a1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2', '48.bp1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 256, 452, 384, 64], 'label': '768.87077.16.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918291
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.w1.a1', '32.z1.a1', '32.z2.a1', '32.bh1.a1', '32.bh2.a1', '32.bh2.a2', '48.bp1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 256, 452, 384, 64], 'label': '768.87077.16.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918292
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.x1.a1', '32.y2.a1', '32.z1.a1', '32.bi1.a1', '32.bi1.a2', '32.bi1.c1', '32.bi1.c2', '48.bq1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 32, 384, 64], 'label': '768.87077.16.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918293
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.x1.a1', '32.y2.a1', '32.z1.b1', '32.bi1.b1', '32.bi1.b2', '32.bi1.d1', '32.bi1.d2', '48.bq1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 48, 384, 64], 'label': '768.87077.16.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918450
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.l1.d1', '8.br1.b1', '8.bt1.b1', '12.s1.d1'], 'core': '8.l1.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 16, 400, 40, 256, 390, 68], 'label': '768.87077.4.s1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.s1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918294
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.x1.a1', '32.y1.a1', '32.z2.a1', '32.bi1.a1', '32.bi1.a2', '32.bi1.b1', '32.bi1.b2', '48.bq2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 32, 400, 64], 'label': '768.87077.16.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918295
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.p1.a1', '8.v1.a1', '8.v1.b1', '8.bf1.a1', '8.bm1.a1', '8.bm1.b1', '8.bm1.c1', '8.bm1.d1', '8.bo1.a1', '8.bo1.b1', '12.d1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 390, 256, 476, 16, 64, 384], 'label': '768.87077.4.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918296
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.x1.a1', '32.y1.b1', '32.z2.a1', '32.bi1.c1', '32.bi1.c2', '32.bi1.d1', '32.bi1.d2', '48.bq2.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [462, 256, 32, 400, 64], 'label': '768.87077.16.bq2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918297
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.bd1.a1', '32.be1.a1', '32.be1.c1', '32.bg2.a1', '32.bh1.a1', '32.bi1.a2', '32.bi1.c1', '48.br1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 32, 452, 64], 'label': '768.87077.16.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918298
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.bd1.a2', '32.be1.a1', '32.be1.c1', '32.bg2.a2', '32.bh1.a1', '32.bi1.a1', '32.bi1.c2', '48.br1.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 32, 452, 64], 'label': '768.87077.16.br1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918299
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.bd1.a1', '32.be1.b1', '32.be1.d1', '32.bg2.a2', '32.bh1.b1', '32.bi1.b1', '32.bi1.d2', '48.br1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 48, 452, 64], 'label': '768.87077.16.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918300
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.bd1.a2', '32.be1.b1', '32.be1.d1', '32.bg2.a1', '32.bh1.b1', '32.bi1.b2', '32.bi1.d1', '48.br1.b2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 48, 452, 64], 'label': '768.87077.16.br1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918301
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.bd1.a1', '32.be1.a1', '32.be1.b1', '32.bg1.a1', '32.bh2.a1', '32.bi1.a1', '32.bi1.b2', '48.br2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 32, 468, 64], 'label': '768.87077.16.br2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918302
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.bd1.a2', '32.be1.a1', '32.be1.b1', '32.bg1.a1', '32.bh2.a2', '32.bi1.a2', '32.bi1.b1', '48.br2.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 48, 468, 64], 'label': '768.87077.16.br2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918303
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.bd1.a1', '32.be1.c1', '32.be1.d1', '32.bg1.b1', '32.bh2.a2', '32.bi1.c2', '32.bi1.d1', '48.br2.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 48, 468, 64], 'label': '768.87077.16.br2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918304
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.bd1.a2', '32.be1.c1', '32.be1.d1', '32.bg1.b1', '32.bh2.a1', '32.bi1.c1', '32.bi1.d2', '48.br2.b2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 32, 468, 64], 'label': '768.87077.16.br2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918305
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.bj1.a1', '32.bk1.a1', '32.bk1.a2', '32.bm1.a1', '32.bn1.a1', '32.bt1.a1', '32.dc1.a1', '32.dc1.b1', '32.dd1.a1', '32.dd1.b1', '32.df1.a1', '32.df1.b1', '32.df1.c1', '32.df1.d1', '48.bs1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 256, 454, 80, 384], 'label': '768.87077.16.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '16.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918306
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.m1.a1', '8.n1.a1', '8.z1.a1', '8.ba1.a1', '8.bb1.a1', '8.bd1.a1', '12.g1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 384, 32, 256, 2, 448], 'label': '768.87077.4.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918307
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.bj1.a1', '32.bl1.a1', '32.bo1.a1', '32.bp1.a1', '32.bu1.a1', '32.de1.a1', '32.de1.b1', '32.de1.c1', '32.de1.d1', '32.dg1.a1', '32.dg1.a2', '32.dg1.b1', '32.dg1.b2', '48.bt1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 256, 452, 80, 384], 'label': '768.87077.16.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '16.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918308
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.bk1.a1', '32.bv1.a1', '32.bv1.b1', '32.dh1.c1', '32.dh1.d1', '32.dh1.e1', '32.dh1.f1', '48.bu1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 476, 80, 256], 'label': '768.87077.16.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918309
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.bk1.a2', '32.bv1.a1', '32.bv1.b1', '32.dh1.a1', '32.dh1.b1', '32.dh1.g1', '32.dh1.h1', '48.bu1.a2'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 460, 80, 256], 'label': '768.87077.16.bu1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bu1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918310
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1'], 'contains': ['32.bm1.a1', '32.bq1.a1', '32.br1.a1', '32.dl1.a1', '32.dl1.b1', '32.dl1.c1', '32.dl1.d1', '48.bv1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 256, 418, 384, 464], 'label': '768.87077.16.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '16.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918311
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1'], 'contains': ['32.bn1.a1', '32.bq2.a1', '32.bs1.a1', '32.di1.a1', '32.di1.b1', '32.dk1.a1', '32.dk1.b1', '48.bw1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 256, 454, 80, 400], 'label': '768.87077.16.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '16.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918312
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1'], 'contains': ['32.bo1.a1', '32.bq1.a1', '32.bq2.a1', '32.bw1.a1', '32.bw1.a2', '32.dj1.a1', '32.dj1.b1', '32.dj1.c1', '32.dj1.d1', '32.dm1.a1', '32.dm1.a2', '32.dm1.b1', '32.dm1.b2', '48.bx1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 256, 452, 80, 384], 'label': '768.87077.16.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '16.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918313
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.y1.a1'], 'contains': ['32.bp1.a1', '32.br1.a1', '32.bs1.a1', '48.by1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 256, 418, 80, 384], 'label': '768.87077.16.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.y1.a1', 'old_label': '16.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918314
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bk1.a1', '8.bk1.b1'], 'contains': ['32.d1.a1', '32.bx1.a1', '32.bz1.a1', '32.bz1.b1', '32.cd1.a1', '32.cp1.a1', '32.cp1.b1', '32.dc1.a1', '32.dc1.b1', '48.bz1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 454, 384, 16], 'label': '768.87077.16.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918315
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bl1.a1', '8.bl1.b1', '8.bm1.a1', '8.bm1.b1', '8.bm1.c1', '8.bm1.d1'], 'contains': ['32.f1.a1', '32.bx1.a1', '32.ca1.a1', '32.ca1.b1', '32.cd1.a1', '32.cq1.a1', '32.cq1.b1', '32.dd1.a1', '32.dd1.b1', '48.ca1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 256, 390, 384, 16], 'label': '768.87077.16.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918316
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bk1.a1', '8.bl1.a1'], 'contains': ['32.e1.a1', '32.bx1.a1', '32.cb1.a1', '32.ce1.a1', '32.ct1.a1', '32.de1.a1', '32.de1.c1', '48.cb1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 388, 384, 16], 'label': '768.87077.16.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918317
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '8.r1.a1', '8.bc1.a1', '8.bc1.b1', '8.bh1.a1', '12.h1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 16, 64, 8, 256, 384, 2], 'label': '768.87077.4.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918318
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bk1.b1', '8.bl1.b1'], 'contains': ['32.e1.b1', '32.bx1.a1', '32.cb1.b1', '32.ce1.a1', '32.ct1.b1', '32.de1.b1', '32.de1.d1', '48.cb1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 452, 384, 16], 'label': '768.87077.16.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918319
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.bk1.b1', '8.bl1.a1'], 'contains': ['32.g1.a1', '32.bx1.a1', '32.cc1.a1', '32.cg1.a1', '32.cu1.a1', '48.cc1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 2, 384, 256], 'label': '768.87077.16.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918320
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.bk1.a1', '8.bl1.b1'], 'contains': ['32.g1.b1', '32.bx1.a1', '32.cc1.b1', '32.cg1.a1', '32.cu1.b1', '48.cc1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 66, 384, 256], 'label': '768.87077.16.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918321
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bn1.a1', '8.bo1.a1'], 'contains': ['32.h1.a1', '32.by1.a1', '32.bz1.a1', '32.ca1.a1', '32.ci1.a1', '32.cp1.a1', '32.cq1.a1', '32.df1.a1', '32.df1.c1', '48.cd1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 454, 448, 16], 'label': '768.87077.16.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918322
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bn1.b1', '8.bo1.b1'], 'contains': ['32.h1.b1', '32.by1.a1', '32.bz1.b1', '32.ca1.b1', '32.ci1.a1', '32.cp1.b1', '32.cq1.b1', '32.df1.b1', '32.df1.d1', '48.cd1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 256, 454, 448, 16], 'label': '768.87077.16.cd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918323
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.by1.a1', '32.cb1.a1', '32.cb1.b1', '32.cj1.a1', '32.ck1.a1', '32.ct1.a1', '32.ct1.b1', '32.dg1.a1', '32.dg1.a2', '32.dg1.b1', '32.dg1.b2', '48.ce1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 452, 448, 16], 'label': '768.87077.16.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918324
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.by1.a1', '32.cc1.a1', '32.cc1.b1', '32.cm1.a1', '32.cn1.a1', '32.cu1.a1', '32.cu1.b1', '48.cf1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 2, 448, 256], 'label': '768.87077.16.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918325
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.a1', '8.bn1.a1'], 'contains': ['32.bz1.a1', '32.cb1.a1', '32.cc1.b1', '32.cr1.a1', '32.cs1.b1', '32.cv1.a1', '32.cw1.a1', '48.cg1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 70, 388, 256], 'label': '768.87077.16.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918326
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.b1', '8.bn1.a1'], 'contains': ['32.bz1.a1', '32.cb1.b1', '32.cc1.a1', '32.cr1.b1', '32.cs1.a1', '32.cv1.b1', '32.cw1.a2', '48.cg1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 452, 256], 'label': '768.87077.16.cg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918327
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.a1', '8.bn1.b1'], 'contains': ['32.bz1.b1', '32.cb1.a1', '32.cc1.b1', '32.cr1.c1', '32.cs1.d1', '32.cv1.a1', '32.cw1.a2', '48.cg1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 388, 256], 'label': '768.87077.16.cg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918328
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.e1.a1', '8.s1.a1', '8.t1.a1', '8.x1.a1', '8.y1.a1', '8.z1.a1', '8.bb1.a1', '12.k1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 384, 32, 256, 2, 448], 'label': '768.87077.4.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918329
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.b1', '8.bn1.b1'], 'contains': ['32.bz1.b1', '32.cb1.b1', '32.cc1.a1', '32.cr1.d1', '32.cs1.c1', '32.cv1.b1', '32.cw1.a1', '48.cg1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 70, 452, 256], 'label': '768.87077.16.cg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918330
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.a1', '8.bn1.a1'], 'contains': ['32.ca1.a1', '32.cb1.a1', '32.cc1.a1', '32.cr1.a1', '32.cs1.a1', '32.cx1.a1', '32.cz1.a1', '48.ch1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 6, 388, 256], 'label': '768.87077.16.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918331
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.b1', '8.bn1.a1'], 'contains': ['32.ca1.a1', '32.cb1.b1', '32.cc1.b1', '32.cr1.b1', '32.cs1.b1', '32.cx1.b1', '32.cz1.a2', '48.ch1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 390, 452, 256], 'label': '768.87077.16.ch1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918332
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.a1', '8.bn1.b1'], 'contains': ['32.ca1.b1', '32.cb1.a1', '32.cc1.a1', '32.cr1.c1', '32.cs1.c1', '32.cx1.a1', '32.cz1.a2', '48.ch1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 390, 388, 256], 'label': '768.87077.16.ch1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918333
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.b1', '8.bn1.b1'], 'contains': ['32.ca1.b1', '32.cb1.b1', '32.cc1.b1', '32.cr1.d1', '32.cs1.d1', '32.cx1.b1', '32.cz1.a1', '48.ch1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 6, 452, 256], 'label': '768.87077.16.ch1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918334
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.a1', '8.bo1.a1'], 'contains': ['32.ca1.a1', '32.da1.a1', '32.da1.c1', '32.dh1.a1', '32.dh1.e1', '48.ci1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 6, 28, 16, 256], 'label': '768.87077.16.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918335
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.d1', '8.bo1.a1'], 'contains': ['32.ca1.a1', '32.da1.b1', '32.da1.d1', '32.dh1.b1', '32.dh1.f1', '48.ci1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 6, 28, 16, 256], 'label': '768.87077.16.ci1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918336
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.b1', '8.bo1.b1'], 'contains': ['32.ca1.b1', '32.da1.a1', '32.da1.d1', '32.dh1.c1', '32.dh1.g1', '48.ci1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 390, 412, 16, 256], 'label': '768.87077.16.ci1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918337
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.c1', '8.bo1.b1'], 'contains': ['32.ca1.b1', '32.da1.b1', '32.da1.c1', '32.dh1.d1', '32.dh1.h1', '48.ci1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 390, 412, 16, 256], 'label': '768.87077.16.ci1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918338
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bk1.a1', '8.bl1.a1'], 'contains': ['32.e1.a1', '32.cd1.a1', '32.cg1.a1', '32.cr1.a1', '32.cr1.c1', '48.cj1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 388, 384, 256], 'label': '768.87077.16.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918339
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.e1.a1', '8.bc1.a1', '8.bc1.b1', '8.bw1.a1', '8.bw1.b1', '12.l1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 16, 448, 476, 256, 384, 2], 'label': '768.87077.4.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918340
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bk1.b1', '8.bl1.b1'], 'contains': ['32.e1.b1', '32.cd1.a1', '32.cg1.a1', '32.cr1.b1', '32.cr1.d1', '48.cj1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 452, 384, 256], 'label': '768.87077.16.cj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918341
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bk1.b1', '8.bl1.a1'], 'contains': ['32.g1.a1', '32.cd1.a1', '32.ce1.a1', '32.cs1.a1', '32.cs1.c1', '48.ck1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 2, 384, 256], 'label': '768.87077.16.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918342
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bk1.a1', '8.bl1.b1'], 'contains': ['32.g1.b1', '32.cd1.a1', '32.ce1.a1', '32.cs1.b1', '32.cs1.d1', '48.ck1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 66, 384, 256], 'label': '768.87077.16.ck1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.ck1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ck1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918343
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.bk1.a1', '8.bk1.b1'], 'contains': ['32.d1.a1', '32.ce1.a1', '32.cg1.a1', '32.cw1.a1', '32.cw1.a2', '48.cl1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 454, 384, 256], 'label': '768.87077.16.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918344
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.bp1.a1', '8.bp1.b1'], 'contains': ['32.d1.a1', '32.cf1.a1', '32.ch1.a1', '32.di1.a1', '32.di1.b1', '48.cm1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 454, 16, 400], 'label': '768.87077.16.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918345
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bp1.a1', '8.br1.a1'], 'contains': ['32.e1.a1', '32.cf1.a1', '32.cy1.a1', '32.dj1.a1', '32.dj1.b1', '48.cn1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 256, 388, 384, 16], 'label': '768.87077.16.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '16.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918346
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bp1.b1', '8.br1.b1'], 'contains': ['32.e1.b1', '32.cf1.a1', '32.cy1.b1', '32.dj1.c1', '32.dj1.d1', '48.cn1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 256, 452, 384, 16], 'label': '768.87077.16.cn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.cn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918347
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '8.bp1.a1', '8.br1.a1'], 'contains': ['32.e1.a1', '32.ch1.a1', '48.co1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 388, 400, 16], 'label': '768.87077.16.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '16.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918348
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '8.bp1.b1', '8.br1.b1'], 'contains': ['32.e1.b1', '32.ch1.a1', '48.co1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 452, 400, 16], 'label': '768.87077.16.co1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.co1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.co1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918349
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.bl1.a1', '8.bl1.b1', '8.bu1.a1', '8.bu1.b1', '8.bu1.c1', '8.bu1.d1'], 'contains': ['32.f1.a1', '32.ce1.a1', '32.cg1.a1', '32.cz1.a1', '32.cz1.a2', '48.cp1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 390, 384, 256], 'label': '768.87077.16.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918350
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.g1.a1', '8.u1.a1', '8.w1.a1', '8.x1.a1', '8.y1.a1', '8.ba1.a1', '8.bd1.a1', '12.p1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 384, 32, 256, 454, 448], 'label': '768.87077.4.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918351
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.br1.a1', '8.br1.b1'], 'contains': ['32.f1.a1', '32.cf1.a1', '32.ch1.a1', '32.dk1.a1', '32.dk1.b1', '48.cq1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 390, 16, 400], 'label': '768.87077.16.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918352
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.c1', '8.v1.a1', '8.bm1.a1', '8.bm1.b1', '8.bs1.a1', '8.bu1.a1', '8.bu1.b1'], 'contains': ['32.f1.a1', '32.da1.a1', '48.cr1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 384, 256, 390], 'label': '768.87077.16.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918353
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.d1', '8.v1.a1', '8.bm1.c1', '8.bm1.d1', '8.bs1.a1', '8.bu1.c1', '8.bu1.d1'], 'contains': ['32.f1.a1', '32.da1.b1', '48.cr1.b1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 16, 384, 256, 6], 'label': '768.87077.16.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918354
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '8.v1.b1', '8.bm1.a1', '8.bm1.c1', '8.bs1.b1', '8.bu1.a1', '8.bu1.c1'], 'contains': ['32.f1.a1', '32.da1.c1', '48.cr1.c1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 16, 384, 256, 6], 'label': '768.87077.16.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918355
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.b1', '8.v1.b1', '8.bm1.b1', '8.bm1.d1', '8.bs1.b1', '8.bu1.b1', '8.bu1.d1'], 'contains': ['32.f1.a1', '32.da1.d1', '48.cr1.d1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [105, 16, 384, 256, 6], 'label': '768.87077.16.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918356
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '8.bp1.b1', '8.br1.a1'], 'contains': ['32.g1.a1', '32.cf1.a1', '32.ch1.a1', '48.cs1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 2, 400, 16], 'label': '768.87077.16.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918357
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '8.bp1.a1', '8.br1.b1'], 'contains': ['32.g1.b1', '32.cf1.a1', '32.ch1.a1', '48.cs1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 66, 400, 16], 'label': '768.87077.16.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918358
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.a1', '8.bq1.b1', '8.bt1.a1'], 'contains': ['32.g1.a1', '32.db1.a1', '48.ct1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 384, 2, 16], 'label': '768.87077.16.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918359
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.b1', '8.bq1.a1', '8.bt1.b1'], 'contains': ['32.g1.b1', '32.db1.b1', '48.ct1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 256, 384, 82, 16], 'label': '768.87077.16.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.b1', 'old_label': '16.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918360
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bn1.a1', '8.bv1.a1'], 'contains': ['32.h1.a1', '32.cj1.a1', '32.cn1.a1', '32.cr1.a1', '32.cr1.b1', '48.cu1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 452, 448, 256], 'label': '768.87077.16.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918361
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.g1.a1', '8.v1.a1', '8.v1.b1', '8.bu1.a1', '8.bu1.b1', '8.bu1.c1', '8.bu1.d1', '12.q1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384, 390, 8, 16, 64, 256], 'label': '768.87077.4.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918362
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bn1.b1', '8.bv1.b1'], 'contains': ['32.h1.b1', '32.cj1.a1', '32.cn1.a1', '32.cr1.c1', '32.cr1.d1', '48.cu1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 16, 452, 448, 256], 'label': '768.87077.16.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918363
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bn1.a1', '8.bw1.a1'], 'contains': ['32.h1.a1', '32.ck1.a1', '32.cm1.a1', '32.cs1.a1', '32.cs1.b1', '48.cv1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 2, 448, 256], 'label': '768.87077.16.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918364
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bn1.b1', '8.bw1.b1'], 'contains': ['32.h1.b1', '32.ck1.a1', '32.cm1.a1', '32.cs1.c1', '32.cs1.d1', '48.cv1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 16, 2, 448, 256], 'label': '768.87077.16.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918365
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bv1.a1'], 'contains': ['32.h1.a1', '32.cl1.a1', '32.co1.a1', '32.dl1.a1', '32.dl1.b1', '48.cw1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 418, 16, 464], 'label': '768.87077.16.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918366
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bv1.b1'], 'contains': ['32.h1.b1', '32.cl1.a1', '32.co1.a1', '32.dl1.c1', '32.dl1.d1', '48.cw1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 256, 418, 16, 464], 'label': '768.87077.16.cw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.cw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918367
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.ci1.a1', '32.cj1.a1', '32.cm1.a1', '32.cv1.a1', '32.cv1.b1', '32.cx1.a1', '32.cx1.b1', '48.cx1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 16, 452, 448, 256], 'label': '768.87077.16.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918368
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.ci1.a1', '32.ck1.a1', '32.cn1.a1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2', '48.cy1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 448, 256], 'label': '768.87077.16.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918369
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.a1', '8.bo1.a1', '8.bo1.b1'], 'contains': ['32.ci1.a1', '32.da1.a1', '32.da1.b1', '48.cz1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 448, 256, 390], 'label': '768.87077.16.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918370
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.b1', '8.bo1.a1', '8.bo1.b1'], 'contains': ['32.ci1.a1', '32.da1.c1', '32.da1.d1', '48.cz1.b1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 16, 448, 256, 6], 'label': '768.87077.16.cz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.cz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918371
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cj1.a1', '32.cl1.a1', '32.cy1.a1', '32.cy1.b1', '32.dm1.a1', '32.dm1.a2', '32.dm1.b1', '32.dm1.b2', '48.da1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 256, 452, 448, 16], 'label': '768.87077.16.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918372
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.a1', '8.bl1.a1', '8.bm1.a1', '8.bm1.c1', '8.bs1.a1', '8.bu1.a1', '8.bu1.c1', '12.r1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 384, 390, 8, 16, 388, 256], 'label': '768.87077.4.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918373
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cj1.a1', '32.co1.a1', '48.db1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 256, 452, 464, 16], 'label': '768.87077.16.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918374
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ba1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cl1.a1', '32.cn1.a1', '32.co1.a1', '48.dc1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 256, 418, 448, 16], 'label': '768.87077.16.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918375
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ba1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cl1.a1', '32.cn1.a1', '32.co1.a1', '48.dc1.a2'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 256, 418, 448, 16], 'label': '768.87077.16.dc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.dc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918376
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.a1', '8.bw1.a1', '8.bw1.b1'], 'contains': ['32.cm1.a1', '32.db1.a1', '48.dd1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 448, 2, 16], 'label': '768.87077.16.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '16.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918377
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.b1', '8.bw1.a1', '8.bw1.b1'], 'contains': ['32.cm1.a1', '32.db1.b1', '48.dd1.b1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 256, 448, 82, 16], 'label': '768.87077.16.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '16.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918378
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.a1', '8.bn1.a1'], 'contains': ['32.cp1.a1', '32.cr1.a1', '32.cs1.b1', '32.ct1.a1', '32.cu1.b1', '32.cv1.a1', '32.cw1.a2', '48.de1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 454, 388, 256], 'label': '768.87077.16.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918379
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.b1', '8.bn1.a1'], 'contains': ['32.cp1.a1', '32.cr1.b1', '32.cs1.a1', '32.ct1.b1', '32.cu1.a1', '32.cv1.b1', '32.cw1.a1', '48.de1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 70, 452, 256], 'label': '768.87077.16.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918380
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.a1', '8.bn1.b1'], 'contains': ['32.cp1.b1', '32.cr1.c1', '32.cs1.d1', '32.ct1.a1', '32.cu1.b1', '32.cv1.a1', '32.cw1.a1', '48.de1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 70, 388, 256], 'label': '768.87077.16.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918381
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.b1', '8.bn1.b1'], 'contains': ['32.cp1.b1', '32.cr1.d1', '32.cs1.c1', '32.ct1.b1', '32.cu1.a1', '32.cv1.b1', '32.cw1.a2', '48.de1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 454, 452, 256], 'label': '768.87077.16.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918382
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bl1.a1', '8.bn1.a1'], 'contains': ['32.cq1.a1', '32.cr1.a1', '32.cs1.a1', '32.ct1.a1', '32.cu1.a1', '32.cx1.a1', '32.cz1.a2', '48.df1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 390, 388, 256], 'label': '768.87077.16.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918383
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['384.m1.b1', '384.m1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.g1.a1', '4.g1.b1', '4.k1.a1', '4.q1.a1', '4.r1.a1', '4.r1.b1', '4.r1.c1', '4.r1.d1', '6.a1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 256, 390, 8, 64, 16, 384, 452], 'label': '768.87077.2.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.g1.b1', '4.g1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918384
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.b1', '8.bl1.a1', '8.bm1.b1', '8.bm1.d1', '8.bs1.a1', '8.bu1.b1', '8.bu1.d1', '12.r1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384, 390, 8, 16, 388, 256], 'label': '768.87077.4.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918385
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bl1.b1', '8.bn1.a1'], 'contains': ['32.cq1.a1', '32.cr1.b1', '32.cs1.b1', '32.ct1.b1', '32.cu1.b1', '32.cx1.b1', '32.cz1.a1', '48.df1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 6, 452, 256], 'label': '768.87077.16.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918386
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bl1.a1', '8.bn1.b1'], 'contains': ['32.cq1.b1', '32.cr1.c1', '32.cs1.c1', '32.ct1.a1', '32.cu1.a1', '32.cx1.a1', '32.cz1.a1', '48.df1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 6, 388, 256], 'label': '768.87077.16.df1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.df1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918387
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bl1.b1', '8.bn1.b1'], 'contains': ['32.cq1.b1', '32.cr1.d1', '32.cs1.d1', '32.ct1.b1', '32.cu1.b1', '32.cx1.b1', '32.cz1.a2', '48.df1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 390, 452, 256], 'label': '768.87077.16.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918388
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.b1', '8.bo1.a1'], 'contains': ['32.cq1.a1', '32.da1.a1', '32.da1.d1', '48.dg1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 28, 256, 390], 'label': '768.87077.16.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918389
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.c1', '8.bo1.a1'], 'contains': ['32.cq1.a1', '32.da1.b1', '32.da1.c1', '48.dg1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 16, 28, 256, 390], 'label': '768.87077.16.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918390
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.a1', '8.bo1.b1'], 'contains': ['32.cq1.b1', '32.da1.a1', '32.da1.c1', '48.dg1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 16, 412, 256, 6], 'label': '768.87077.16.dg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918391
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.d1', '8.bo1.b1'], 'contains': ['32.cq1.b1', '32.da1.b1', '32.da1.d1', '48.dg1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 16, 412, 256, 6], 'label': '768.87077.16.dg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918392
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.c1.a1', '12.d1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '48.j1.a1', '48.r1.a1', '48.be1.a1', '48.be1.b1', '48.bs1.a1', '48.bz1.a1', '48.ca1.a1', '48.cd1.a1', '48.cd1.b1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 454, 64, 16, 384], 'label': '768.87077.24.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.c1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918393
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.e1.a1', '12.f1.a1'], 'contains': ['48.a1.a1', '48.d1.a1', '48.e1.a1', '48.k1.a1', '48.u1.a1', '48.bf1.a1', '48.bf1.b1', '48.bt1.a1', '48.cb1.a1', '48.cb1.b1', '48.ce1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 452, 64, 16, 384], 'label': '768.87077.24.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.d1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918394
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.g1.a1', '12.h1.a1'], 'contains': ['48.a1.a1', '48.f1.a1', '48.g1.a1', '48.m1.a1', '48.w1.a1', '48.cc1.a1', '48.cc1.b1', '48.cf1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 2, 64, 384], 'label': '768.87077.24.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.f1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918395
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.c1', '8.bl1.b1', '8.bm1.a1', '8.bm1.b1', '8.bs1.b1', '8.bu1.a1', '8.bu1.b1', '12.r1.c1'], 'core': '8.l1.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384, 390, 8, 16, 452, 256], 'label': '768.87077.4.r1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918396
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.a1.a1', '12.i1.a1', '12.j1.a1'], 'contains': ['48.b1.a1', '48.d1.a1', '48.g1.a1', '48.s1.a1', '48.cj1.a1', '48.cj1.b1', '48.cu1.a1', '48.cu1.b1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 452, 64, 384], 'label': '768.87077.24.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.d1.a1', '12.a1.a1'], 'normal_contains': ['48.d1.a1', '48.b1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918397
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.a1.a1', '12.k1.a1', '12.l1.a1'], 'contains': ['48.b1.a1', '48.e1.a1', '48.f1.a1', '48.t1.a1', '48.ck1.a1', '48.ck1.b1', '48.cv1.a1', '48.cv1.b1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 2, 64, 384], 'label': '768.87077.24.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.e1.a1', '12.a1.a1'], 'normal_contains': ['48.b1.a1', '48.e1.a1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918398
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1', '12.m1.a1', '12.n1.a1', '12.o1.a1', '12.o1.b1'], 'contains': ['48.c1.a1', '48.d1.a1', '48.f1.a1', '48.h1.a1', '48.h1.b1', '48.i1.a1', '48.i1.b1', '48.x1.a1', '48.cx1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 452, 64, 384], 'label': '768.87077.24.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.f1.a1', '12.a1.a1', '12.b1.b1', '12.b1.a1'], 'normal_contains': ['48.d1.a1', '48.c1.a1', '48.f1.a1', '48.h1.b1', '48.h1.a1', '48.i1.b1', '48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918399
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.a1.a1', '12.p1.a1', '12.q1.a1'], 'contains': ['48.c1.a1', '48.e1.a1', '48.g1.a1', '48.y1.a1', '48.cl1.a1', '48.cp1.a1', '48.cy1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 454, 64, 384], 'label': '768.87077.24.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': ['8.g1.a1', '12.a1.a1'], 'normal_contains': ['48.c1.a1', '48.e1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918400
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.d1', '32.dl1.c1', '32.dl1.b1', '32.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.b1.b1', '12.r1.a1', '12.s1.a1'], 'contains': ['48.i1.a1', '48.cr1.c1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 388], 'label': '768.87077.24.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': ['8.l1.a1', '12.b1.b1'], 'normal_contains': ['48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918401
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.d1', '32.dl1.c1', '32.dl1.b1', '32.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.b1', '12.b1.b1', '12.r1.b1', '12.s1.b1'], 'contains': ['48.i1.a1', '48.cr1.d1'], 'core': '24.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [105, 388], 'label': '768.87077.24.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': ['8.l1.b1', '12.b1.b1'], 'normal_contains': ['48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918402
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.b1', '32.dl1.a1', '32.dl1.d1', '32.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.c1', '12.b1.a1', '12.r1.c1', '12.s1.c1'], 'contains': ['48.i1.b1', '48.cr1.a1'], 'core': '24.h1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 452], 'label': '768.87077.24.h1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': ['8.l1.c1', '12.b1.a1'], 'normal_contains': ['48.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918403
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.b1', '32.dl1.a1', '32.dl1.d1', '32.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.d1', '12.b1.a1', '12.r1.d1', '12.s1.d1'], 'contains': ['48.i1.b1', '48.cr1.b1'], 'core': '24.h1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [97, 452], 'label': '768.87077.24.h1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': ['8.l1.d1', '12.b1.a1'], 'normal_contains': ['48.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918404
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '12.c1.a1', '12.e1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.l1.a1', '48.n1.a1', '48.o1.a1', '48.v1.a1', '48.bg1.a1', '48.bg1.b1', '48.bg1.c1', '48.bg1.d1', '48.bg2.a1', '48.bg2.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 32, 384, 16], 'label': '768.87077.24.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918405
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '12.c1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.p1.a1', '48.q1.a1', '48.bh1.a1', '48.bh1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 418, 16], 'label': '768.87077.24.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918406
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.d1', '8.bl1.b1', '8.bm1.c1', '8.bm1.d1', '8.bs1.b1', '8.bu1.c1', '8.bu1.d1', '12.r1.d1'], 'core': '8.l1.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 384, 390, 8, 16, 452, 256], 'label': '768.87077.4.r1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918407
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '12.a1.a1'], 'contains': ['48.j1.a1', '48.k1.a1', '48.m1.a1', '48.s1.a1', '48.t1.a1', '48.x1.a1', '48.y1.a1', '48.cg1.a1', '48.cg1.b1', '48.cg1.c1', '48.cg1.d1', '48.ch1.a1', '48.ch1.b1', '48.ch1.c1', '48.ch1.d1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 452, 64], 'label': '768.87077.24.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918408
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '12.d1.a1'], 'contains': ['48.j1.a1', '48.z1.a1', '48.z1.b1', '48.bi1.a1', '48.bi1.b1', '48.bu1.a1', '48.bu1.a2', '48.ci1.a1', '48.ci1.b1', '48.ci1.c1', '48.ci1.d1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 476, 64, 16], 'label': '768.87077.24.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918409
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '12.e1.a1'], 'contains': ['48.k1.a1', '48.l1.a1', '48.ba1.a1', '48.bb1.a1', '48.bc1.a1', '48.bc1.a2', '48.bj1.a1', '48.bj1.b1', '48.bj1.c1', '48.bj1.d1', '48.bj2.a1', '48.bj2.a2', '48.bj2.b1', '48.bj2.b2'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 452, 16], 'label': '768.87077.24.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918410
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '12.h1.a1'], 'contains': ['48.m1.a1', '48.bd1.a1', '48.bd1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 8], 'label': '768.87077.24.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '24.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918411
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '12.c1.a1', '12.i1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '48.n1.a1', '48.p1.a1', '48.bk1.a1', '48.bk1.b1', '48.bv1.a1', '48.cw1.a1', '48.cw1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 418, 384, 16], 'label': '768.87077.24.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918412
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '12.c1.a1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '48.o1.a1', '48.q1.a1', '48.bl1.a1', '48.bl1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 32, 16], 'label': '768.87077.24.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918413
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '12.c1.a1', '12.m1.a1', '12.p1.a1'], 'contains': ['48.c1.a1', '48.n1.a1', '48.q1.a1', '48.bm1.a1', '48.bm1.b1', '48.bw1.a1', '48.cm1.a1', '48.cq1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 454, 64, 16], 'label': '768.87077.24.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918414
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.a1', '12.b1.a1', '12.d1.a1', '12.q1.a1'], 'contains': ['48.c1.a1', '48.z1.a1', '48.cr1.a1', '48.cr1.b1', '48.cz1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 64, 384], 'label': '768.87077.24.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918415
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.b1', '12.b1.b1', '12.d1.a1', '12.q1.a1'], 'contains': ['48.c1.a1', '48.z1.b1', '48.cr1.c1', '48.cr1.d1', '48.cz1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 64, 384], 'label': '768.87077.24.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918416
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '12.c1.a1', '12.n1.a1', '12.p1.a1'], 'contains': ['48.c1.a1', '48.o1.a1', '48.p1.a1', '48.bn1.a1', '48.bn1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 454, 16], 'label': '768.87077.24.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918417
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1'], 'contains': ['8.l1.a1', '8.br1.a1', '8.bt1.a1', '12.s1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 16, 384, 40, 256, 2, 388], 'label': '768.87077.4.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '4.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918418
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.e1.a1', '12.i1.a1', '12.m1.a1'], 'contains': ['48.d1.a1', '48.n1.a1', '48.ba1.a1', '48.bo1.a1', '48.bo1.b1', '48.bx1.a1', '48.cn1.a1', '48.cn1.b1', '48.da1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [426, 452, 64, 16, 384], 'label': '768.87077.24.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918419
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.e1.a1', '12.j1.a1', '12.n1.a1'], 'contains': ['48.d1.a1', '48.o1.a1', '48.bb1.a1', '48.bp1.a1', '48.bp1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [32, 452, 384, 16], 'label': '768.87077.24.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918420
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.f1.a1', '12.i1.a1', '12.n1.a1'], 'contains': ['48.d1.a1', '48.p1.a1', '48.db1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [418, 452, 384], 'label': '768.87077.24.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918421
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.f1.a1', '12.j1.a1', '12.m1.a1'], 'contains': ['48.d1.a1', '48.q1.a1', '48.co1.a1', '48.co1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [40, 452, 64], 'label': '768.87077.24.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918422
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '12.e1.a1', '12.k1.a1', '12.p1.a1'], 'contains': ['48.e1.a1', '48.n1.a1', '48.o1.a1', '48.bc1.a1', '48.bc1.a2', '48.bq1.a1', '48.bq1.b1', '48.bq2.a1', '48.bq2.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [478, 32, 384, 16], 'label': '768.87077.24.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918423
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.y1.a1', '12.f1.a1', '12.k1.a1', '12.p1.a1'], 'contains': ['48.e1.a1', '48.p1.a1', '48.q1.a1', '48.by1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [478, 418, 16], 'label': '768.87077.24.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918424
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '12.g1.a1', '12.k1.a1', '12.m1.a1'], 'contains': ['48.f1.a1', '48.n1.a1', '48.q1.a1', '48.cs1.a1', '48.cs1.b1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 2, 64], 'label': '768.87077.24.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918425
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ba1.a1', '12.g1.a1', '12.i1.a1', '12.p1.a1'], 'contains': ['48.g1.a1', '48.n1.a1', '48.p1.a1', '48.dc1.a1', '48.dc1.a2'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 418, 384], 'label': '768.87077.24.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918426
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bb1.a1', '12.g1.a1', '12.k1.a1', '12.n1.a1'], 'contains': ['48.f1.a1', '48.o1.a1', '48.p1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 2], 'label': '768.87077.24.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918427
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.a1', '12.h1.a1', '12.l1.a1', '12.o1.a1'], 'contains': ['48.f1.a1', '48.bd1.a1', '48.ct1.a1', '48.dd1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 64, 384], 'label': '768.87077.24.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918428
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1'], 'contains': ['8.l1.b1', '8.br1.a1', '8.bt1.a1', '12.s1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [65, 16, 384, 40, 256, 2, 388], 'label': '768.87077.4.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '4.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918429
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.b1', '12.h1.a1', '12.l1.a1', '12.o1.b1'], 'contains': ['48.f1.a1', '48.bd1.b1', '48.ct1.b1', '48.dd1.b1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9, 64, 384], 'label': '768.87077.24.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918430
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bd1.a1', '12.g1.a1', '12.j1.a1', '12.p1.a1'], 'contains': ['48.g1.a1', '48.o1.a1', '48.q1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 32], 'label': '768.87077.24.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918473
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bv1.a1', '12.i1.a1'], 'contains': ['48.cu1.a1', '48.cw1.a1', '48.da1.a1', '48.db1.a1', '48.dc1.a1', '48.dc1.a2'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [8, 418, 452], 'label': '768.87077.24.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '24.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918431
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '12.a1.a1'], 'contains': ['48.r1.a1', '48.s1.a1', '48.t1.a1', '48.u1.a1', '48.w1.a1', '48.x1.a1', '48.y1.a1', '48.de1.a1', '48.de1.b1', '48.de1.c1', '48.de1.d1', '48.df1.a1', '48.df1.b1', '48.df1.c1', '48.df1.d1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2, 452, 64], 'label': '768.87077.24.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918432
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '12.d1.a1'], 'contains': ['48.r1.a1', '48.z1.a1', '48.z1.b1', '48.dg1.a1', '48.dg1.b1', '48.dg1.c1', '48.dg1.d1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 92, 64], 'label': '768.87077.24.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918433
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '12.e1.a1'], 'contains': ['48.u1.a1', '48.v1.a1', '48.ba1.a1', '48.bb1.a1', '48.bc1.a1', '48.bc1.a2', '48.br1.a1', '48.br1.a2', '48.br1.b1', '48.br1.b2', '48.br2.a1', '48.br2.a2', '48.br2.b1', '48.br2.b2'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 452, 16], 'label': '768.87077.24.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918434
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bh1.a1', '12.h1.a1'], 'contains': ['48.w1.a1', '48.bd1.a1', '48.bd1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 392], 'label': '768.87077.24.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '24.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918435
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.a1', '12.c1.a1'], 'contains': ['48.be1.a1', '48.bg1.a1', '48.bh1.a1', '48.bk1.a1', '48.bl1.a1', '48.bm1.a1', '48.bn1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [460, 32, 454], 'label': '768.87077.24.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918436
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.b1', '12.c1.a1'], 'contains': ['48.be1.a1', '48.bg1.b1', '48.bh1.a1', '48.bk1.b1', '48.bl1.b1', '48.bm1.b1', '48.bn1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [460, 48, 454], 'label': '768.87077.24.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918437
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.c1', '12.c1.a1'], 'contains': ['48.be1.b1', '48.bg1.c1', '48.bh1.b1', '48.bk1.a1', '48.bl1.b1', '48.bm1.a1', '48.bn1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 48, 454], 'label': '768.87077.24.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918438
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.d1', '12.c1.a1'], 'contains': ['48.be1.b1', '48.bg1.d1', '48.bh1.b1', '48.bk1.b1', '48.bl1.a1', '48.bm1.b1', '48.bn1.a1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 32, 454], 'label': '768.87077.24.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918439
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.l1.c1', '8.br1.b1', '8.bt1.b1', '12.s1.c1'], 'core': '8.l1.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 400, 40, 256, 390, 68], 'label': '768.87077.4.s1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.s1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918440
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.a1', '12.e1.a1'], 'contains': ['48.bf1.a1', '48.bg1.b1', '48.bg2.a1', '48.bj1.b1', '48.bj2.a1', '48.bj2.a2', '48.bo1.a1', '48.bp1.a1', '48.bq1.b1', '48.bq2.b1', '48.br1.b1', '48.br1.b2', '48.br2.b1', '48.br2.b2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48, 452, 384], 'label': '768.87077.24.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918441
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.b1', '12.e1.a1'], 'contains': ['48.bf1.a1', '48.bg1.a1', '48.bg2.a1', '48.bj1.a1', '48.bj2.a1', '48.bj2.a2', '48.bo1.b1', '48.bp1.b1', '48.bq1.a1', '48.bq2.a1', '48.br1.a1', '48.br1.a2', '48.br2.a1', '48.br2.a2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 452, 384], 'label': '768.87077.24.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918442
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.c1', '12.e1.a1'], 'contains': ['48.bf1.b1', '48.bg1.d1', '48.bg2.b1', '48.bj1.d1', '48.bj2.b1', '48.bj2.b2', '48.bo1.a1', '48.bp1.b1', '48.bq1.a1', '48.bq2.b1', '48.br1.a1', '48.br1.a2', '48.br2.b1', '48.br2.b2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 452, 384], 'label': '768.87077.24.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918443
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.d1', '12.e1.a1'], 'contains': ['48.bf1.b1', '48.bg1.c1', '48.bg2.b1', '48.bj1.c1', '48.bj2.b1', '48.bj2.b2', '48.bo1.b1', '48.bp1.a1', '48.bq1.b1', '48.bq2.a1', '48.br1.b1', '48.br1.b2', '48.br2.a1', '48.br2.a2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48, 452, 384], 'label': '768.87077.24.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918444
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bk1.a1', '12.a1.a1'], 'contains': ['48.h1.a1', '48.bz1.a1', '48.cb1.a1', '48.cc1.b1', '48.cg1.a1', '48.cg1.c1', '48.cj1.a1', '48.ck1.b1', '48.cl1.a1', '48.de1.a1', '48.de1.c1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 454, 388, 384], 'label': '768.87077.24.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918445
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bk1.b1', '12.a1.a1'], 'contains': ['48.h1.b1', '48.bz1.a1', '48.cb1.b1', '48.cc1.a1', '48.cg1.b1', '48.cg1.d1', '48.cj1.b1', '48.ck1.a1', '48.cl1.a1', '48.de1.b1', '48.de1.d1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 454, 452, 384], 'label': '768.87077.24.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918446
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bl1.a1', '12.a1.a1', '12.r1.a1', '12.r1.b1'], 'contains': ['48.i1.a1', '48.ca1.a1', '48.cb1.a1', '48.cc1.a1', '48.ch1.a1', '48.ch1.c1', '48.cj1.a1', '48.ck1.a1', '48.cp1.a1', '48.df1.a1', '48.df1.c1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 390, 388, 384], 'label': '768.87077.24.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918447
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bl1.b1', '12.a1.a1', '12.r1.c1', '12.r1.d1'], 'contains': ['48.i1.b1', '48.ca1.a1', '48.cb1.b1', '48.cc1.b1', '48.ch1.b1', '48.ch1.d1', '48.cj1.b1', '48.ck1.b1', '48.cp1.a1', '48.df1.b1', '48.df1.d1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 66, 468, 384], 'label': '768.87077.24.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918448
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.a1', '12.d1.a1', '12.r1.a1', '12.r1.c1'], 'contains': ['48.ca1.a1', '48.ci1.a1', '48.cr1.a1', '48.cr1.c1', '48.dg1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 412, 384], 'label': '768.87077.24.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918449
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.b1', '12.d1.a1', '12.r1.b1', '12.r1.c1'], 'contains': ['48.ca1.a1', '48.ci1.c1', '48.cr1.a1', '48.cr1.d1', '48.dg1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 412, 384], 'label': '768.87077.24.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918451
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.c1', '12.d1.a1', '12.r1.a1', '12.r1.d1'], 'contains': ['48.ca1.a1', '48.ci1.d1', '48.cr1.b1', '48.cr1.c1', '48.dg1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 412, 384], 'label': '768.87077.24.bm1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918452
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.d1', '12.d1.a1', '12.r1.b1', '12.r1.d1'], 'contains': ['48.ca1.a1', '48.ci1.b1', '48.cr1.b1', '48.cr1.d1', '48.dg1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 412, 384], 'label': '768.87077.24.bm1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918453
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bn1.a1', '12.a1.a1'], 'contains': ['48.cd1.a1', '48.ce1.a1', '48.cf1.a1', '48.cg1.a1', '48.cg1.b1', '48.ch1.a1', '48.ch1.b1', '48.cu1.a1', '48.cv1.a1', '48.cx1.a1', '48.cy1.a1', '48.de1.a1', '48.de1.b1', '48.df1.a1', '48.df1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 452, 448], 'label': '768.87077.24.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918454
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bn1.b1', '12.a1.a1'], 'contains': ['48.cd1.b1', '48.ce1.a1', '48.cf1.a1', '48.cg1.c1', '48.cg1.d1', '48.ch1.c1', '48.ch1.d1', '48.cu1.b1', '48.cv1.b1', '48.cx1.a1', '48.cy1.a1', '48.de1.c1', '48.de1.d1', '48.df1.c1', '48.df1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2, 452, 448], 'label': '768.87077.24.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918455
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bo1.a1', '12.d1.a1'], 'contains': ['48.cd1.a1', '48.ci1.a1', '48.ci1.b1', '48.cz1.a1', '48.cz1.b1', '48.dg1.a1', '48.dg1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 476, 448], 'label': '768.87077.24.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918456
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bo1.b1', '12.d1.a1'], 'contains': ['48.cd1.b1', '48.ci1.c1', '48.ci1.d1', '48.cz1.a1', '48.cz1.b1', '48.dg1.c1', '48.dg1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 92, 448], 'label': '768.87077.24.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918457
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bp1.a1', '12.m1.a1'], 'contains': ['48.h1.a1', '48.cm1.a1', '48.cn1.a1', '48.co1.a1', '48.cs1.b1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 66, 388], 'label': '768.87077.24.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918458
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bp1.b1', '12.m1.a1'], 'contains': ['48.h1.b1', '48.cm1.a1', '48.cn1.b1', '48.co1.b1', '48.cs1.a1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 2, 452], 'label': '768.87077.24.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918459
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bq1.a1', '12.o1.b1'], 'contains': ['48.h1.a1', '48.ct1.b1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9, 388], 'label': '768.87077.24.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1.b1', 'old_label': '24.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918460
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bq1.b1', '12.o1.a1'], 'contains': ['48.h1.b1', '48.ct1.a1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 452], 'label': '768.87077.24.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1.a1', 'old_label': '24.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918461
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['128.m1.b1', '128.m1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.b1.b1', '12.d1.a1', '12.q1.a1', '12.r1.a1', '12.r1.b1', '12.r1.c1', '12.r1.d1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 8, 452, 64], 'label': '768.87077.6.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.b1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918462
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.br1.a1', '12.m1.a1', '12.s1.a1', '12.s1.b1'], 'contains': ['48.i1.a1', '48.cn1.a1', '48.co1.a1', '48.cq1.a1', '48.cs1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 2, 388], 'label': '768.87077.24.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918463
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.br1.b1', '12.m1.a1', '12.s1.c1', '12.s1.d1'], 'contains': ['48.i1.b1', '48.cn1.b1', '48.co1.b1', '48.cq1.a1', '48.cs1.b1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 66, 452], 'label': '768.87077.24.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918464
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bs1.a1', '12.b1.a1', '12.r1.a1', '12.r1.b1'], 'contains': ['48.i1.a1', '48.cr1.a1', '48.cr1.b1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 388], 'label': '768.87077.24.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918465
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bs1.b1', '12.b1.b1', '12.r1.c1', '12.r1.d1'], 'contains': ['48.i1.b1', '48.cr1.c1', '48.cr1.d1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 452], 'label': '768.87077.24.bs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918466
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bt1.a1', '12.o1.a1', '12.s1.a1', '12.s1.b1'], 'contains': ['48.i1.a1', '48.ct1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 388], 'label': '768.87077.24.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918467
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bt1.b1', '12.o1.b1', '12.s1.c1', '12.s1.d1'], 'contains': ['48.i1.b1', '48.ct1.b1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9, 452], 'label': '768.87077.24.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918468
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.a1', '12.q1.a1', '12.r1.a1', '12.r1.c1'], 'contains': ['48.cp1.a1', '48.cr1.a1', '48.cr1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 8], 'label': '768.87077.24.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918469
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.b1', '12.q1.a1', '12.r1.b1', '12.r1.c1'], 'contains': ['48.cp1.a1', '48.cr1.a1', '48.cr1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8], 'label': '768.87077.24.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918470
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.c1', '12.q1.a1', '12.r1.a1', '12.r1.d1'], 'contains': ['48.cp1.a1', '48.cr1.b1', '48.cr1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 8], 'label': '768.87077.24.bu1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918471
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.d1', '12.q1.a1', '12.r1.b1', '12.r1.d1'], 'contains': ['48.cp1.a1', '48.cr1.b1', '48.cr1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 8], 'label': '768.87077.24.bu1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918472
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.c1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1', '12.i1.a1', '12.j1.a1', '12.k1.a1', '12.m1.a1', '12.n1.a1', '12.p1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8, 32, 2, 452], 'label': '768.87077.6.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918474
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bv1.b1', '12.i1.a1'], 'contains': ['48.cu1.b1', '48.cw1.b1', '48.da1.a1', '48.db1.a1', '48.dc1.a1', '48.dc1.a2'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [392, 418, 452], 'label': '768.87077.24.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '24.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918475
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bw1.a1', '12.l1.a1'], 'contains': ['48.cv1.a1', '48.dd1.a1', '48.dd1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 476], 'label': '768.87077.24.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '24.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918476
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bw1.b1', '12.l1.a1'], 'contains': ['48.cv1.b1', '48.dd1.a1', '48.dd1.b1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 92], 'label': '768.87077.24.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '24.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918477
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.j1.a1', '16.k1.a1', '16.l1.a1', '16.m1.a1'], 'contains': ['64.a1.a1', '64.b1.a1', '64.b1.b1', '64.m1.a1', '64.u1.a1', '96.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 16, 256], 'label': '768.87077.32.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '64.b1.a1', '64.b1.b1', '96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918478
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.e1.a1', '16.f1.a1', '16.g1.a1', '16.n1.a1', '16.o1.a1', '16.p1.a1', '16.q1.a1'], 'contains': ['64.a1.a1', '64.c1.a1', '64.d1.a1', '64.e1.a1', '64.n1.a1', '96.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 384, 16, 256], 'label': '768.87077.32.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1', '16.d1.a1', '16.c1.a1', '16.b1.a1', '16.e1.a1', '16.f1.a1', '16.g1.a1'], 'normal_contains': ['64.a1.a1', '64.d1.a1', '64.c1.a1', '96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918479
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.r1.a1', '16.u1.a1', '16.v1.a1', '16.w1.a1'], 'contains': ['64.a1.a1', '64.g1.a1', '64.p1.a1', '64.w1.a1', '96.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [394, 64, 16, 256], 'label': '768.87077.32.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918480
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.h1.a1', '16.h1.b1', '16.bz1.a1', '16.cl1.a1', '16.cm1.a1'], 'contains': ['64.c1.a1', '64.x1.a1', '64.bk1.a1', '96.d1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 384, 16, 256], 'label': '768.87077.32.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': ['16.c1.a1', '16.h1.b1', '16.h1.a1'], 'normal_contains': ['64.c1.a1', '96.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918481
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.h1.a1', '16.i1.a1', '16.cb1.a1', '16.cj1.a1', '16.cn1.a1', '16.co1.a1'], 'contains': ['64.c1.a1', '64.y1.a1', '64.bl1.a1', '96.e1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [388, 384, 16, 256], 'label': '768.87077.32.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': ['16.d1.a1', '16.h1.a1', '16.i1.a1'], 'normal_contains': ['64.c1.a1', '96.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918482
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.h1.b1', '16.i1.b1', '16.cb1.b1', '16.cj1.b1', '16.cn1.b1', '16.co1.b1'], 'contains': ['64.c1.a1', '64.y1.b1', '64.bl1.b1', '96.e1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [452, 384, 16, 256], 'label': '768.87077.32.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': ['16.d1.a1', '16.h1.b1', '16.i1.b1'], 'normal_contains': ['64.c1.a1', '96.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918483
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.h1.a1', '12.l1.a1', '12.o1.a1', '12.o1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 8, 452], 'label': '768.87077.6.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918484
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.i1.a1', '16.i1.b1', '16.ca1.a1', '16.cp1.a1', '16.cq1.a1', '16.cr1.a1', '16.cr1.b1', '16.cr1.c1', '16.cr1.d1'], 'contains': ['64.c1.a1', '64.z1.a1', '64.bm1.a1', '96.f1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [390, 384, 16, 256], 'label': '768.87077.32.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': ['16.c1.a1', '16.i1.b1', '16.i1.a1'], 'normal_contains': ['64.c1.a1', '96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918485
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.h1.b1', '16.i1.a1', '16.cc1.a1', '16.ck1.a1', '16.cs1.a1', '16.ct1.a1'], 'contains': ['64.c1.a1', '64.bc1.a1', '96.g1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 384, 256, 16], 'label': '768.87077.32.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.a1', 'normal_contained_in': ['16.f1.a1', '16.h1.b1', '16.i1.a1'], 'normal_contains': ['64.c1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918486
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.h1.a1', '16.i1.b1', '16.cc1.b1', '16.ck1.b1', '16.cs1.b1', '16.ct1.b1'], 'contains': ['64.c1.a1', '64.bc1.b1', '96.g1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 384, 256, 16], 'label': '768.87077.32.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.b1', 'normal_contained_in': ['16.f1.a1', '16.h1.a1', '16.i1.b1'], 'normal_contains': ['64.c1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918487
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.cd1.a1', '16.cu1.a1', '16.cv1.a1', '16.cw1.a1'], 'contains': ['64.d1.a1', '64.v1.a1', '64.bq1.a1', '96.h1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 448, 16, 256], 'label': '768.87077.32.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': ['16.b1.a1'], 'normal_contains': ['64.d1.a1', '96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918488
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.cd1.b1', '16.cu1.b1', '16.cv1.b1', '16.cw1.b1'], 'contains': ['64.d1.a1', '64.v1.b1', '64.bq1.b1', '96.h1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [92, 448, 16, 256], 'label': '768.87077.32.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': ['16.b1.a1'], 'normal_contains': ['64.d1.a1', '96.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918489
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.j1.a1', '16.r1.a1', '16.s1.a1', '16.t1.a1'], 'contains': ['64.a1.a1', '64.f1.a1', '64.o1.a1', '64.v1.a1', '64.v1.b1', '96.i1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 64, 16, 256], 'label': '768.87077.32.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918490
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.j1.a1', '16.r1.a1', '16.x1.a1', '16.y1.a1', '16.z1.a1', '16.z1.b1'], 'contains': ['64.a1.a1', '64.h1.a1', '64.q1.a1', '64.x1.a1', '64.z1.a1', '96.j1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 64, 16, 256], 'label': '768.87077.32.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918491
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.k1.a1', '16.s1.a1', '16.u1.a1', '16.x1.a1', '16.ba1.a1', '16.bb1.a1'], 'contains': ['64.a1.a1', '64.i1.a1', '64.r1.a1', '64.y1.a1', '64.y1.b1', '96.k1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 64, 16, 256], 'label': '768.87077.32.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918492
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.k1.a1', '16.t1.a1', '16.u1.a1', '16.y1.a1', '16.bc1.a1', '16.bc1.a2'], 'contains': ['64.a1.a1', '64.j1.a1', '64.s1.a1', '64.ba1.a1', '96.l1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 64, 16, 256], 'label': '768.87077.32.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918493
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.n1.a1', '16.v1.a1', '16.ba1.a1', '16.bc1.a1', '16.bc1.a2'], 'contains': ['64.a1.a1', '64.k1.a1', '64.k1.b1', '64.t1.a1', '64.bb1.a1', '96.m1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 64, 16, 256], 'label': '768.87077.32.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918494
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': ['384.m1.a1', '384.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.i1.a1', '4.i1.b1', '4.m1.a1', '4.o1.a1', '6.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 64, 384, 8, 2, 256, 16, 452], 'label': '768.87077.2.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.i1.a1', '4.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918495
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.m1.a1', '12.o1.b1', '12.s1.c1', '12.s1.d1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 40, 64], 'label': '768.87077.6.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918496
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.m1.a1', '16.t1.a1', '16.w1.a1', '16.x1.a1', '16.bd1.a1', '16.bd1.b1'], 'contains': ['64.a1.a1', '64.bc1.a1', '64.bc1.b1', '96.n1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 64, 256, 16], 'label': '768.87077.32.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918497
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.m1.a1', '16.s1.a1', '16.w1.a1', '16.y1.a1'], 'contains': ['64.a1.a1', '64.bd1.a1', '96.o1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 64, 256, 16], 'label': '768.87077.32.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918498
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.o1.a1', '16.v1.a1', '16.bb1.a1', '16.bc1.a1', '16.bc1.a2'], 'contains': ['64.a1.a1', '64.l1.a1', '64.l1.b1', '96.p1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 16, 64, 256], 'label': '768.87077.32.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918499
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.be1.a1', '16.bf1.a1', '16.bg1.a1', '16.bg1.b1', '16.bg2.a1', '16.bh1.a1'], 'contains': ['64.b1.a1', '64.e1.a1', '64.g1.a1', '64.be1.a1', '64.bf1.a1', '96.q1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 64, 384, 256], 'label': '768.87077.32.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918500
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.be1.b1', '16.bf1.b1', '16.bg1.c1', '16.bg1.d1', '16.bg2.b1', '16.bh1.b1'], 'contains': ['64.b1.b1', '64.e1.a1', '64.g1.a1', '64.be1.b1', '64.bf1.b1', '96.q1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 64, 384, 256], 'label': '768.87077.32.q1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.q1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.q1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918501
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.be1.a1', '16.bi1.a1'], 'contains': ['64.b1.a1', '64.f1.a1', '64.h1.a1', '64.bg1.a1', '64.bg1.b1', '64.bh1.a1', '64.bh1.b1', '96.r1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454, 64, 256], 'label': '768.87077.32.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918502
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.be1.b1', '16.bi1.b1'], 'contains': ['64.b1.b1', '64.f1.a1', '64.h1.a1', '64.bg1.c1', '64.bg1.d1', '64.bh1.c1', '64.bh1.d1', '96.r1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 390, 64, 256], 'label': '768.87077.32.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918503
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.bf1.a1', '16.bj1.a1', '16.bj1.b1', '16.bj2.a1', '16.bj2.a2'], 'contains': ['64.b1.a1', '64.i1.a1', '64.j1.a1', '64.bi1.a1', '64.bi1.b1', '96.s1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 64, 256], 'label': '768.87077.32.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918504
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.bf1.b1', '16.bj1.c1', '16.bj1.d1', '16.bj2.b1', '16.bj2.b2'], 'contains': ['64.b1.b1', '64.i1.a1', '64.j1.a1', '64.bi1.c1', '64.bi1.d1', '96.s1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 452, 64, 256], 'label': '768.87077.32.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918505
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.a1', '16.bg2.a1', '16.bj1.a1', '16.bj2.a1', '16.bj2.a2'], 'contains': ['64.b1.a1', '64.k1.a1', '64.l1.a1', '96.t1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 32, 64, 256], 'label': '768.87077.32.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918506
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.a1.a1'], 'contains': ['12.b1.b1', '12.m1.a1', '12.o1.a1', '12.s1.a1', '12.s1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 40, 64], 'label': '768.87077.6.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918507
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.b1', '16.bg2.a1', '16.bj1.b1', '16.bj2.a1', '16.bj2.a2'], 'contains': ['64.b1.a1', '64.k1.b1', '64.l1.b1', '96.t1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 48, 64, 256], 'label': '768.87077.32.t1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918508
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.c1', '16.bg2.b1', '16.bj1.c1', '16.bj2.b1', '16.bj2.b2'], 'contains': ['64.b1.b1', '64.k1.a1', '64.l1.b1', '96.t1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 48, 64, 256], 'label': '768.87077.32.t1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918509
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.d1', '16.bg2.b1', '16.bj1.d1', '16.bj2.b1', '16.bj2.b2'], 'contains': ['64.b1.b1', '64.k1.b1', '64.l1.a1', '96.t1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 32, 64, 256], 'label': '768.87077.32.t1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918510
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.be1.a1', '16.be1.b1', '16.bk1.a1', '16.bk1.b1', '16.bl1.a1', '16.bl1.b1'], 'contains': ['64.e1.a1', '64.f1.a1', '64.bj1.a1', '64.bq1.a1', '64.bq1.b1', '96.u1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64, 384, 256], 'label': '768.87077.32.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918511
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.be1.a1', '16.be1.b1', '16.bm1.a1', '16.bm1.b1', '16.bn1.a1', '16.bn1.b1'], 'contains': ['64.e1.a1', '64.h1.a1', '64.bk1.a1', '64.bm1.a1', '64.br1.a1', '96.v1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 64, 384, 256], 'label': '768.87077.32.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918512
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.bf1.a1', '16.bf1.b1', '16.bo1.a1', '16.bo1.b1', '16.bp1.a1', '16.bp1.b1'], 'contains': ['64.e1.a1', '64.i1.a1', '64.bl1.a1', '64.bl1.b1', '64.bs1.a1', '64.bs1.a2', '96.w1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64, 384, 256], 'label': '768.87077.32.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918513
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.bf1.a1', '16.bf1.b1', '16.bq1.a1', '16.bq1.b1', '16.bq2.a1', '16.bq2.b1'], 'contains': ['64.e1.a1', '64.j1.a1', '64.bn1.a1', '64.bt1.a1', '96.x1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64, 384, 256], 'label': '768.87077.32.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918514
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bg1.a1', '16.bg1.c1', '16.bk1.a1', '16.bm1.a1', '16.bo1.b1', '16.bq2.a1'], 'contains': ['64.e1.a1', '64.k1.a1', '64.bo1.a1', '64.bu1.a1', '96.y1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 64, 384, 256], 'label': '768.87077.32.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918515
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bg1.b1', '16.bg1.d1', '16.bk1.b1', '16.bm1.b1', '16.bo1.a1', '16.bq2.b1'], 'contains': ['64.e1.a1', '64.k1.b1', '64.bo1.b1', '64.bu1.b1', '96.y1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [442, 64, 384, 256], 'label': '768.87077.32.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918516
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bg2.a1', '16.bg2.b1', '16.bo1.a1', '16.bo1.b1', '16.bq1.a1', '16.bq1.b1'], 'contains': ['64.e1.a1', '64.k1.a1', '64.k1.b1', '64.bo2.a1', '64.bu2.a1', '96.y2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 64, 400, 256], 'label': '768.87077.32.y2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.y2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918517
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.n1.a1', '12.o1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 32], 'label': '768.87077.6.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918518
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bg1.a1', '16.bg1.d1', '16.bl1.a1', '16.bn1.a1', '16.bp1.b1', '16.bq1.a1'], 'contains': ['64.e1.a1', '64.l1.a1', '96.z1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 384, 64, 256], 'label': '768.87077.32.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918519
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bg1.b1', '16.bg1.c1', '16.bl1.b1', '16.bn1.b1', '16.bp1.a1', '16.bq1.b1'], 'contains': ['64.e1.a1', '64.l1.b1', '96.z1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [48, 384, 64, 256], 'label': '768.87077.32.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918520
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bg2.a1', '16.bg2.b1', '16.bp1.a1', '16.bp1.b1', '16.bq2.a1', '16.bq2.b1'], 'contains': ['64.e1.a1', '64.l1.a1', '64.l1.b1', '96.z2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 400, 64, 256], 'label': '768.87077.32.z2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.z2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918521
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '16.bh1.a1', '16.bh1.b1', '16.bk1.a1', '16.bk1.b1', '16.bn1.a1', '16.bn1.b1'], 'contains': ['64.e1.a1', '64.bv1.a1', '96.ba1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 400, 464, 256], 'label': '768.87077.32.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918522
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.bh1.a1', '16.bh1.b1', '16.bl1.a1', '16.bl1.b1', '16.bm1.a1', '16.bm1.b1'], 'contains': ['64.e1.a1', '64.bp1.a1', '96.bb1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 64, 400, 256], 'label': '768.87077.32.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918523
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.be1.a1', '16.be1.b1'], 'contains': ['64.f1.a1', '64.g1.a1', '64.h1.a1', '64.bw1.a1', '64.bw1.b1', '64.bx1.a1', '64.bx1.b1', '96.bc1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 64, 256], 'label': '768.87077.32.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918524
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.bf1.a1', '16.bf1.b1', '16.br1.a1', '16.br1.b1', '16.br2.a1', '16.br2.b1'], 'contains': ['64.g1.a1', '64.i1.a1', '64.j1.a1', '64.by1.a1', '64.by1.b1', '96.bd1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 64, 256], 'label': '768.87077.32.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918525
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.bf1.a1', '16.bf1.b1', '16.br1.a2', '16.br1.b2', '16.br2.a2', '16.br2.b2'], 'contains': ['64.g1.a1', '64.i1.a1', '64.j1.a1', '64.by1.a2', '64.by1.b2', '96.bd1.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 452, 64, 256], 'label': '768.87077.32.bd1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bd1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bd1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918526
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.a1', '16.bg2.b1', '16.br1.a1', '16.br1.a2', '16.br2.a1', '16.br2.a2'], 'contains': ['64.g1.a1', '64.k1.a1', '64.l1.a1', '96.be1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 32, 64, 256], 'label': '768.87077.32.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918527
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.c1', '16.bg2.a1', '16.br1.b1', '16.br1.b2', '16.br2.a1', '16.br2.a2'], 'contains': ['64.g1.a1', '64.k1.a1', '64.l1.b1', '96.be1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 48, 64, 256], 'label': '768.87077.32.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918528
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '3.a1.a1'], 'contains': ['12.b1.b1', '12.n1.a1', '12.o1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9, 32], 'label': '768.87077.6.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918529
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.d1', '16.bg2.a1', '16.br1.a1', '16.br1.a2', '16.br2.b1', '16.br2.b2'], 'contains': ['64.g1.a1', '64.k1.b1', '64.l1.a1', '96.be1.c1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 32, 64, 256], 'label': '768.87077.32.be1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918530
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.b1', '16.bg2.b1', '16.br1.b1', '16.br1.b2', '16.br2.b1', '16.br2.b2'], 'contains': ['64.g1.a1', '64.k1.b1', '64.l1.b1', '96.be1.d1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 48, 64, 256], 'label': '768.87077.32.be1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918531
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.bi1.a1', '16.bi1.b1'], 'contains': ['64.h1.a1', '64.ca1.a1', '64.ca1.b1', '96.bf1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 64, 256, 390], 'label': '768.87077.32.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918532
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.bi1.a1', '16.bi1.b1'], 'contains': ['64.h1.a1', '64.ca1.c1', '64.ca1.d1', '96.bf1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 64, 256, 6], 'label': '768.87077.32.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918533
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj1.a1', '16.bj1.c1', '16.bo1.b1', '16.br2.a1', '16.br2.a2'], 'contains': ['64.i1.a1', '64.k1.a1', '64.bz1.a1', '64.bz1.c1', '96.bg1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 468, 64, 256], 'label': '768.87077.32.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918534
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj1.b1', '16.bj1.d1', '16.bo1.a1', '16.br2.b1', '16.br2.b2'], 'contains': ['64.i1.a1', '64.k1.b1', '64.bz1.b1', '64.bz1.d1', '96.bg1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 468, 64, 256], 'label': '768.87077.32.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918535
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj2.a1', '16.bj2.b1', '16.bo1.a1', '16.bo1.b1', '16.br1.a1', '16.br1.b2'], 'contains': ['64.i1.a1', '64.k1.a1', '64.k1.b1', '64.bz2.a1', '64.bz2.b1', '96.bg2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 452, 64, 256], 'label': '768.87077.32.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918536
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj2.a2', '16.bj2.b2', '16.bo1.a1', '16.bo1.b1', '16.br1.a2', '16.br1.b1'], 'contains': ['64.i1.a1', '64.k1.a1', '64.k1.b1', '64.bz2.a2', '64.bz2.b2', '96.bg2.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 452, 64, 256], 'label': '768.87077.32.bg2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918537
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj1.a1', '16.bj1.d1', '16.bp1.b1', '16.br1.a1', '16.br1.a2'], 'contains': ['64.i1.a1', '64.l1.a1', '96.bh1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 452, 64, 256], 'label': '768.87077.32.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918538
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj1.b1', '16.bj1.c1', '16.bp1.a1', '16.br1.b1', '16.br1.b2'], 'contains': ['64.i1.a1', '64.l1.b1', '96.bh1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 452, 64, 256], 'label': '768.87077.32.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918539
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.j1.a1', '16.r1.a1', '16.be1.a1', '16.be1.b1', '16.bs1.a1', '16.bz1.a1', '16.ca1.a1', '16.cd1.a1', '16.cd1.b1', '24.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 256, 16, 454, 64, 384], 'label': '768.87077.8.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.b1.a1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918540
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj2.a1', '16.bj2.b2', '16.bp1.a1', '16.bp1.b1', '16.br2.a1', '16.br2.b2'], 'contains': ['64.i1.a1', '64.l1.a1', '64.l1.b1', '96.bh2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 468, 64, 256], 'label': '768.87077.32.bh2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918541
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj2.a2', '16.bj2.b1', '16.bp1.a1', '16.bp1.b1', '16.br2.a2', '16.br2.b1'], 'contains': ['64.i1.a1', '64.l1.a1', '64.l1.b1', '96.bh2.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 468, 64, 256], 'label': '768.87077.32.bh2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918542
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.a1', '16.bj2.b1', '16.bq1.a1', '16.bq2.a1', '16.br1.a2', '16.br2.a1'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.a1', '96.bi1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [78, 32, 64, 256], 'label': '768.87077.32.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918543
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.a1', '16.bj2.b2', '16.bq1.a1', '16.bq2.a1', '16.br1.a1', '16.br2.a2'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.a1', '96.bi1.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 32, 64, 256], 'label': '768.87077.32.bi1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918544
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.c1', '16.bj2.a1', '16.bq1.b1', '16.bq2.a1', '16.br1.b1', '16.br2.a2'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.b1', '96.bi1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [94, 48, 64, 256], 'label': '768.87077.32.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918545
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.c1', '16.bj2.a2', '16.bq1.b1', '16.bq2.a1', '16.br1.b2', '16.br2.a1'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.b1', '96.bi1.b2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [462, 48, 64, 256], 'label': '768.87077.32.bi1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918546
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.d1', '16.bj2.a2', '16.bq1.a1', '16.bq2.b1', '16.br1.a1', '16.br2.b2'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.a1', '96.bi1.c1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [94, 32, 64, 256], 'label': '768.87077.32.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918547
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.d1', '16.bj2.a1', '16.bq1.a1', '16.bq2.b1', '16.br1.a2', '16.br2.b1'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.a1', '96.bi1.c2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [462, 32, 64, 256], 'label': '768.87077.32.bi1.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.c2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.c2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918548
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.b1', '16.bj2.b2', '16.bq1.b1', '16.bq2.b1', '16.br1.b2', '16.br2.b1'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.b1', '96.bi1.d1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [78, 48, 64, 256], 'label': '768.87077.32.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918549
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.b1', '16.bj2.b1', '16.bq1.b1', '16.bq2.b1', '16.br1.b1', '16.br2.b2'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.b1', '96.bi1.d2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 48, 64, 256], 'label': '768.87077.32.bi1.d2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.d2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.d2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918550
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '16.k1.a1', '16.u1.a1', '16.bf1.a1', '16.bf1.b1', '16.bt1.a1', '16.cb1.a1', '16.cb1.b1', '16.ce1.a1', '24.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 256, 16, 452, 64, 384], 'label': '768.87077.8.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918551
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.bs1.a1', '16.bt1.a1'], 'contains': ['64.m1.a1', '64.n1.a1', '64.p1.a1', '64.be1.a1', '64.be1.b1', '64.bf1.a1', '64.bf1.b1', '96.bj1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 80, 384, 256], 'label': '768.87077.32.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918552
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bs1.a1', '16.bu1.a1'], 'contains': ['64.m1.a1', '64.o1.a1', '64.q1.a1', '64.bg1.a1', '64.bg1.d1', '64.bh1.b1', '64.bh1.c1', '96.bk1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 470, 80, 256], 'label': '768.87077.32.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918553
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bs1.a1', '16.bu1.a2'], 'contains': ['64.m1.a1', '64.o1.a1', '64.q1.a1', '64.bg1.b1', '64.bg1.c1', '64.bh1.a1', '64.bh1.d1', '96.bk1.a2'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 390, 80, 256], 'label': '768.87077.32.bk1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.bk1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bk1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918554
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.bt1.a1'], 'contains': ['64.m1.a1', '64.r1.a1', '64.s1.a1', '64.bi1.a1', '64.bi1.b1', '64.bi1.c1', '64.bi1.d1', '96.bl1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 80, 256], 'label': '768.87077.32.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918555
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.bs1.a1', '16.bv1.a1'], 'contains': ['64.n1.a1', '64.o1.a1', '64.bj1.a1', '64.bq1.a1', '64.bq1.b1', '96.bm1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80, 384, 256], 'label': '768.87077.32.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918556
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.bs1.a1', '16.bw1.a1'], 'contains': ['64.n1.a1', '64.q1.a1', '64.bk1.a1', '64.bm1.a1', '64.br1.a1', '96.bn1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 80, 384, 256], 'label': '768.87077.32.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918557
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.bt1.a1', '16.bx1.a1'], 'contains': ['64.n1.a1', '64.r1.a1', '64.bl1.a1', '64.bl1.b1', '64.bs1.a1', '64.bs1.a2', '96.bo1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80, 384, 256], 'label': '768.87077.32.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918558
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.bt1.a1', '16.by1.a1'], 'contains': ['64.n1.a1', '64.s1.a1', '64.bn1.a1', '64.bt1.a1', '96.bp1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80, 384, 256], 'label': '768.87077.32.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '32.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918559
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bv1.a1', '16.bx1.a1'], 'contains': ['64.n1.a1', '64.t1.a1', '64.bo2.a1', '64.bu1.a1', '64.bu1.b1', '96.bq1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 80, 400, 256], 'label': '768.87077.32.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918560
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bw1.a1', '16.bx1.a1'], 'contains': ['64.n1.a1', '64.t1.a1', '64.bo1.a1', '64.bo1.b1', '64.bu2.a1', '96.bq2.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 80, 384, 256], 'label': '768.87077.32.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '32.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918561
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.l1.a1', '4.m1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '16.g1.a1', '16.m1.a1', '16.w1.a1', '16.cc1.a1', '16.cc1.b1', '16.cf1.a1', '24.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 256, 2, 64, 384], 'label': '768.87077.8.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.f1.a1', '16.g1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918562
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '16.bv1.a1', '16.by1.a1'], 'contains': ['64.n1.a1', '64.bv1.a1', '96.br1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 384, 464, 256], 'label': '768.87077.32.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '32.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918563
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.bw1.a1', '16.by1.a1'], 'contains': ['64.n1.a1', '64.bp1.a1', '96.bs1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 80, 400, 256], 'label': '768.87077.32.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1.a1', 'old_label': '32.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918564
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.bs1.a1'], 'contains': ['64.o1.a1', '64.p1.a1', '64.q1.a1', '64.bw1.a1', '64.bw1.b1', '64.bx1.a1', '64.bx1.b1', '96.bt1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 390, 80, 256], 'label': '768.87077.32.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918565
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.bt1.a1'], 'contains': ['64.p1.a1', '64.r1.a1', '64.s1.a1', '64.by1.a1', '64.by1.a2', '64.by1.b1', '64.by1.b2', '96.bu1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452, 80, 256], 'label': '768.87077.32.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918566
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.bu1.a1', '16.bu1.a2'], 'contains': ['64.q1.a1', '64.ca1.a1', '64.ca1.b1', '96.bv1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 80, 256, 390], 'label': '768.87077.32.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918567
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.bu1.a1', '16.bu1.a2'], 'contains': ['64.q1.a1', '64.ca1.c1', '64.ca1.d1', '96.bv1.b1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 80, 256, 6], 'label': '768.87077.32.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918568
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bx1.a1'], 'contains': ['64.r1.a1', '64.t1.a1', '64.bz1.c1', '64.bz1.d1', '64.bz2.a1', '64.bz2.a2', '96.bw1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 468, 80, 256], 'label': '768.87077.32.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918569
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bx1.a1'], 'contains': ['64.r1.a1', '64.t1.a1', '64.bz1.a1', '64.bz1.b1', '64.bz2.b1', '64.bz2.b2', '96.bw1.a2'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 80, 256], 'label': '768.87077.32.bw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.bw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918570
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.bz1.a1', '16.ca1.a1', '16.cb1.a1', '16.cb1.b1', '16.cc1.a1', '16.cc1.b1'], 'contains': ['64.c1.a1', '64.u1.a1', '64.w1.a1', '64.be1.a1', '64.be1.b1', '96.bx1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 384, 16, 256], 'label': '768.87077.32.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918571
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.cd1.a1', '16.cd1.b1', '16.ce1.a1', '16.cf1.a1'], 'contains': ['64.d1.a1', '64.u1.a1', '64.w1.a1', '64.bf1.a1', '64.bf1.b1', '96.by1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 448, 16, 256], 'label': '768.87077.32.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918572
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.g1.a1', '16.s1.a1', '16.cj1.a1', '16.cj1.b1', '16.cu1.a1', '16.cu1.b1', '24.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 256, 452, 64, 384], 'label': '768.87077.8.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'normal_contains': ['16.d1.a1', '16.b1.a1', '16.g1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918573
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bz1.a1', '16.cd1.a1', '16.cg1.a1', '16.cg1.b1'], 'contains': ['64.u1.a1', '64.v1.a1', '64.x1.a1', '64.bg1.a1', '64.bg1.c1', '96.bz1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 454, 16, 256], 'label': '768.87077.32.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918574
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bz1.a1', '16.cd1.b1', '16.cg1.c1', '16.cg1.d1'], 'contains': ['64.u1.a1', '64.v1.b1', '64.x1.a1', '64.bg1.b1', '64.bg1.d1', '96.bz1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 70, 16, 256], 'label': '768.87077.32.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918575
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.ca1.a1', '16.cd1.a1', '16.ch1.a1', '16.ch1.b1', '16.ci1.a1', '16.ci1.b1'], 'contains': ['64.u1.a1', '64.v1.a1', '64.z1.a1', '64.bh1.a1', '64.bh1.c1', '96.ca1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 6, 16, 256], 'label': '768.87077.32.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918576
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.ca1.a1', '16.cd1.b1', '16.ch1.c1', '16.ch1.d1', '16.ci1.c1', '16.ci1.d1'], 'contains': ['64.u1.a1', '64.v1.b1', '64.z1.a1', '64.bh1.b1', '64.bh1.d1', '96.ca1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 390, 16, 256], 'label': '768.87077.32.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918577
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.cb1.a1', '16.ce1.a1', '16.cg1.a1', '16.cg1.c1', '16.ch1.a1', '16.ch1.c1'], 'contains': ['64.u1.a1', '64.y1.a1', '64.ba1.a1', '64.bi1.a1', '64.bi1.c1', '96.cb1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 388, 16, 256], 'label': '768.87077.32.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918578
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.cb1.b1', '16.ce1.a1', '16.cg1.b1', '16.cg1.d1', '16.ch1.b1', '16.ch1.d1'], 'contains': ['64.u1.a1', '64.y1.b1', '64.ba1.a1', '64.bi1.b1', '64.bi1.d1', '96.cb1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 16, 256], 'label': '768.87077.32.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918579
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '16.cc1.a1', '16.cf1.a1', '16.cg1.b1', '16.cg1.d1', '16.ch1.a1', '16.ch1.c1'], 'contains': ['64.u1.a1', '64.bc1.a1', '64.bd1.a1', '96.cc1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 256, 16], 'label': '768.87077.32.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918580
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '16.cc1.b1', '16.cf1.a1', '16.cg1.a1', '16.cg1.c1', '16.ch1.b1', '16.ch1.d1'], 'contains': ['64.u1.a1', '64.bc1.b1', '64.bd1.a1', '96.cc1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 66, 256, 16], 'label': '768.87077.32.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918581
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.bz1.a1', '16.ca1.a1', '16.cj1.a1', '16.cj1.b1', '16.ck1.a1', '16.ck1.b1'], 'contains': ['64.c1.a1', '64.v1.a1', '64.v1.b1', '64.bj1.a1', '96.cd1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 384, 16, 256], 'label': '768.87077.32.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918582
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.cb1.a1', '16.cb1.b1', '16.ck1.a1', '16.ck1.b1', '16.cl1.a1', '16.cp1.a1'], 'contains': ['64.c1.a1', '64.ba1.a1', '64.bn1.a1', '96.ce1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 384, 16, 256], 'label': '768.87077.32.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918583
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.n1.a1', '4.o1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '16.f1.a1', '16.t1.a1', '16.ck1.a1', '16.ck1.b1', '16.cv1.a1', '16.cv1.b1', '24.e1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 16, 256, 2, 64, 384], 'label': '768.87077.8.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.a1', '16.e1.a1', '16.f1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918584
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.cm1.a1', '16.cn1.a1', '16.cn1.b1', '16.cq1.a1', '16.cs1.a1', '16.cs1.b1'], 'contains': ['64.c1.a1', '64.bb1.a1', '64.bo1.a1', '64.bo1.b1', '64.bo2.a1', '96.cf1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 384, 16, 256], 'label': '768.87077.32.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '32.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918585
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.cc1.a1', '16.cc1.b1', '16.cj1.a1', '16.cj1.b1', '16.cl1.a1', '16.cp1.a1'], 'contains': ['64.c1.a1', '64.bd1.a1', '96.cg1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 384, 256, 16], 'label': '768.87077.32.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918586
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.cm1.a1', '16.co1.a1', '16.co1.b1', '16.cq1.a1', '16.cs1.a1', '16.cs1.b1'], 'contains': ['64.c1.a1', '64.bp1.a1', '96.ch1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 16, 400, 256], 'label': '768.87077.32.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '32.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918587
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.cd1.a1', '16.cd1.b1', '16.cx1.a1', '16.cy1.a1', '16.cz1.a1', '16.cz1.b1'], 'contains': ['64.d1.a1', '64.x1.a1', '64.z1.a1', '64.br1.a1', '96.ci1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 448, 16, 256], 'label': '768.87077.32.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918588
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.ce1.a1', '16.cu1.a1', '16.cu1.b1', '16.cx1.a1', '16.da1.a1', '16.db1.a1'], 'contains': ['64.d1.a1', '64.y1.a1', '64.y1.b1', '64.bs1.a1', '64.bs1.a2', '96.cj1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 448, 16, 256], 'label': '768.87077.32.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918589
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.ce1.a1', '16.cv1.a1', '16.cv1.b1', '16.cy1.a1'], 'contains': ['64.d1.a1', '64.ba1.a1', '64.bt1.a1', '96.ck1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 448, 16, 256], 'label': '768.87077.32.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918590
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.cw1.a1', '16.cw1.b1', '16.da1.a1', '16.dc1.a1', '16.dc1.a2'], 'contains': ['64.d1.a1', '64.bb1.a1', '64.bu1.a1', '64.bu1.b1', '64.bu2.a1', '96.cl1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 448, 16, 256], 'label': '768.87077.32.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918591
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.cf1.a1', '16.cv1.a1', '16.cv1.b1', '16.cx1.a1', '16.dd1.a1', '16.dd1.b1'], 'contains': ['64.d1.a1', '64.bc1.a1', '64.bc1.b1', '96.cm1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 448, 256, 16], 'label': '768.87077.32.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918592
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.cf1.a1', '16.cu1.a1', '16.cu1.b1', '16.cy1.a1', '16.dc1.a1', '16.dc1.a2'], 'contains': ['64.d1.a1', '64.bd1.a1', '96.cn1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 448, 256, 16], 'label': '768.87077.32.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918593
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '16.cw1.a1', '16.cw1.b1', '16.db1.a1', '16.dc1.a1', '16.dc1.a2'], 'contains': ['64.d1.a1', '64.bv1.a1', '96.co1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 16, 464, 256], 'label': '768.87077.32.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918594
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '4.g1.b1', '4.h1.a1', '4.i1.a1', '4.i1.b1'], 'contains': ['16.c1.a1', '16.d1.a1', '16.f1.a1', '16.h1.a1', '16.h1.b1', '16.i1.a1', '16.i1.b1', '16.x1.a1', '16.cx1.a1', '24.f1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 256, 452, 64, 384], 'label': '768.87077.8.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.b1', '4.g1.a1', '4.h1.a1', '4.i1.a1', '4.i1.b1'], 'normal_contains': ['16.d1.a1', '16.c1.a1', '16.f1.a1', '16.h1.b1', '16.h1.a1', '16.i1.b1', '16.i1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918595
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.bz1.a1', '16.cd1.a1', '16.de1.a1', '16.de1.b1'], 'contains': ['64.v1.a1', '64.w1.a1', '64.x1.a1', '64.bw1.a1', '96.cp1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 70, 16, 256], 'label': '768.87077.32.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918596
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.bz1.a1', '16.cd1.b1', '16.de1.c1', '16.de1.d1'], 'contains': ['64.v1.b1', '64.w1.a1', '64.x1.a1', '64.bw1.b1', '96.cp1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 454, 16, 256], 'label': '768.87077.32.cp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918597
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.ca1.a1', '16.cd1.a1', '16.df1.a1', '16.df1.b1', '16.dg1.a1', '16.dg1.b1'], 'contains': ['64.v1.a1', '64.w1.a1', '64.z1.a1', '64.bx1.a1', '96.cq1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 390, 16, 256], 'label': '768.87077.32.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918598
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.ca1.a1', '16.cd1.b1', '16.df1.c1', '16.df1.d1', '16.dg1.c1', '16.dg1.d1'], 'contains': ['64.v1.b1', '64.w1.a1', '64.z1.a1', '64.bx1.b1', '96.cq1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 6, 16, 256], 'label': '768.87077.32.cq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918599
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.a1', '16.ch1.a1', '16.cj1.a1', '16.cu1.a1', '16.de1.a1', '16.df1.a1'], 'contains': ['64.v1.a1', '64.y1.a1', '64.bd1.a1', '96.cr1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 388, 256, 16], 'label': '768.87077.32.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918600
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.b1', '16.ch1.b1', '16.cj1.b1', '16.cu1.a1', '16.de1.b1', '16.df1.b1'], 'contains': ['64.v1.a1', '64.y1.b1', '64.bd1.a1', '96.cr1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 452, 256, 16], 'label': '768.87077.32.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918601
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.c1', '16.ch1.c1', '16.cj1.a1', '16.cu1.b1', '16.de1.c1', '16.df1.c1'], 'contains': ['64.v1.b1', '64.y1.a1', '64.bd1.a1', '96.cr1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 388, 256, 16], 'label': '768.87077.32.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918602
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.d1', '16.ch1.d1', '16.cj1.b1', '16.cu1.b1', '16.de1.d1', '16.df1.d1'], 'contains': ['64.v1.b1', '64.y1.b1', '64.bd1.a1', '96.cr1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 452, 256, 16], 'label': '768.87077.32.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918603
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.b1', '16.ch1.a1', '16.ck1.a1', '16.cv1.a1', '16.de1.b1', '16.df1.a1'], 'contains': ['64.v1.a1', '64.ba1.a1', '64.bc1.a1', '96.cs1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 2, 256, 16], 'label': '768.87077.32.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918604
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.a1', '16.ch1.b1', '16.ck1.b1', '16.cv1.a1', '16.de1.a1', '16.df1.b1'], 'contains': ['64.v1.a1', '64.ba1.a1', '64.bc1.b1', '96.cs1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 66, 256, 16], 'label': '768.87077.32.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918605
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': ['384.l1.a1', '384.g1.a1', '384.g1.b1', '384.d1.a1', '384.d1.b1', '384.h1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.f1.a1', '4.g1.a1', '4.i1.b1', '4.s1.c1', '4.s1.d1', '6.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 68, 400, 40, 390, 256, 16, 64], 'label': '768.87077.2.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.f1.a1', '4.g1.a1', '4.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918606
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.p1.a1', '4.q1.a1'], 'contains': ['16.c1.a1', '16.e1.a1', '16.g1.a1', '16.y1.a1', '16.cl1.a1', '16.cp1.a1', '16.cy1.a1', '24.g1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 256, 454, 64, 384], 'label': '768.87077.8.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1', '16.e1.a1', '16.g1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918607
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.d1', '16.ch1.c1', '16.ck1.a1', '16.cv1.b1', '16.de1.d1', '16.df1.c1'], 'contains': ['64.v1.b1', '64.ba1.a1', '64.bc1.a1', '96.cs1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 2, 256, 16], 'label': '768.87077.32.cs1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918608
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.c1', '16.ch1.d1', '16.ck1.b1', '16.cv1.b1', '16.de1.c1', '16.df1.d1'], 'contains': ['64.v1.b1', '64.ba1.a1', '64.bc1.b1', '96.cs1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 66, 256, 16], 'label': '768.87077.32.cs1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918609
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.cb1.a1', '16.ce1.a1', '16.de1.a1', '16.de1.c1', '16.df1.a1', '16.df1.c1'], 'contains': ['64.w1.a1', '64.y1.a1', '64.ba1.a1', '64.by1.a1', '64.by1.a2', '96.ct1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 388, 16, 256], 'label': '768.87077.32.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918610
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.cb1.b1', '16.ce1.a1', '16.de1.b1', '16.de1.d1', '16.df1.b1', '16.df1.d1'], 'contains': ['64.w1.a1', '64.y1.b1', '64.ba1.a1', '64.by1.b1', '64.by1.b2', '96.ct1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 16, 256], 'label': '768.87077.32.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918611
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.w1.a1', '16.cc1.a1', '16.cf1.a1', '16.de1.b1', '16.de1.d1', '16.df1.a1', '16.df1.c1'], 'contains': ['64.w1.a1', '64.bc1.a1', '64.bd1.a1', '96.cu1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2, 256, 16], 'label': '768.87077.32.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918612
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.w1.a1', '16.cc1.b1', '16.cf1.a1', '16.de1.a1', '16.de1.c1', '16.df1.b1', '16.df1.d1'], 'contains': ['64.w1.a1', '64.bc1.b1', '64.bd1.a1', '96.cu1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 66, 256, 16], 'label': '768.87077.32.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918613
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '16.x1.a1', '16.cg1.a1', '16.cg1.c1', '16.cx1.a1', '16.de1.a1', '16.de1.c1'], 'contains': ['64.x1.a1', '64.y1.a1', '64.bc1.b1', '96.cv1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 388, 256, 16], 'label': '768.87077.32.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918614
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '16.x1.a1', '16.cg1.b1', '16.cg1.d1', '16.cx1.a1', '16.de1.b1', '16.de1.d1'], 'contains': ['64.x1.a1', '64.y1.b1', '64.bc1.a1', '96.cv1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452, 256, 16], 'label': '768.87077.32.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918615
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.cg1.a1', '16.cg1.d1', '16.cl1.a1', '16.cy1.a1', '16.de1.b1', '16.de1.c1'], 'contains': ['64.x1.a1', '64.ba1.a1', '64.bd1.a1', '96.cw1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70, 256, 16], 'label': '768.87077.32.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918616
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.cg1.b1', '16.cg1.c1', '16.cl1.a1', '16.cy1.a1', '16.de1.a1', '16.de1.d1'], 'contains': ['64.x1.a1', '64.ba1.a1', '64.bd1.a1', '96.cw1.a2'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 256, 16], 'label': '768.87077.32.cw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918617
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': ['96.dh1.d1', '96.dh1.h1', '96.dh1.b1', '96.dh1.f1', '96.dh1.c1', '96.dh1.g1', '96.dh1.a1', '96.dh1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.f1.a1'], 'contains': ['16.d1.a1', '16.n1.a1', '16.ba1.a1', '16.bo1.a1', '16.bo1.b1', '16.bx1.a1', '16.cn1.a1', '16.cn1.b1', '16.da1.a1', '24.t1.a1'], 'core': '8.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [426, 256, 16, 452, 64, 384], 'label': '768.87077.8.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': ['4.b1.a1', '4.f1.a1', '4.d1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918618
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '16.x1.a1', '16.ch1.a1', '16.ch1.c1', '16.cx1.a1', '16.df1.a1', '16.df1.c1'], 'contains': ['64.y1.a1', '64.z1.a1', '64.bc1.a1', '96.cx1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 388, 256, 16], 'label': '768.87077.32.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918619
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '16.x1.a1', '16.ch1.b1', '16.ch1.d1', '16.cx1.a1', '16.df1.b1', '16.df1.d1'], 'contains': ['64.y1.b1', '64.z1.a1', '64.bc1.b1', '96.cx1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 452, 256, 16], 'label': '768.87077.32.cx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918620
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.cn1.a1', '16.da1.a1'], 'contains': ['64.y1.a1', '64.bb1.a1', '64.bz1.a1', '64.bz1.b1', '64.bz2.a1', '64.bz2.a2', '96.cy1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 388, 16, 256], 'label': '768.87077.32.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918621
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.cn1.b1', '16.da1.a1'], 'contains': ['64.y1.b1', '64.bb1.a1', '64.bz1.c1', '64.bz1.d1', '64.bz2.b1', '64.bz2.b2', '96.cy1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 16, 256], 'label': '768.87077.32.cy1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.cy1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cy1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918622
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.ch1.a1', '16.ch1.d1', '16.cp1.a1', '16.cy1.a1', '16.df1.b1', '16.df1.c1'], 'contains': ['64.z1.a1', '64.ba1.a1', '64.bd1.a1', '96.cz1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6, 256, 16], 'label': '768.87077.32.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918623
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.ch1.b1', '16.ch1.c1', '16.cp1.a1', '16.cy1.a1', '16.df1.a1', '16.df1.d1'], 'contains': ['64.z1.a1', '64.ba1.a1', '64.bd1.a1', '96.cz1.a2'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390, 256, 16], 'label': '768.87077.32.cz1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cz1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cz1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918624
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.ci1.a1', '16.ci1.c1', '16.cr1.a1', '16.cz1.a1', '16.dg1.a1', '16.dg1.c1'], 'contains': ['64.z1.a1', '64.ca1.a1', '96.da1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 256, 390], 'label': '768.87077.32.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918625
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.ci1.b1', '16.ci1.d1', '16.cr1.b1', '16.cz1.a1', '16.dg1.b1', '16.dg1.d1'], 'contains': ['64.z1.a1', '64.ca1.b1', '96.da1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 16, 256, 6], 'label': '768.87077.32.da1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918626
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.ci1.a1', '16.ci1.d1', '16.cr1.c1', '16.cz1.b1', '16.dg1.b1', '16.dg1.c1'], 'contains': ['64.z1.a1', '64.ca1.c1', '96.da1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 16, 256, 6], 'label': '768.87077.32.da1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918627
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.ci1.b1', '16.ci1.c1', '16.cr1.d1', '16.cz1.b1', '16.dg1.a1', '16.dg1.d1'], 'contains': ['64.z1.a1', '64.ca1.d1', '96.da1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [105, 16, 256, 6], 'label': '768.87077.32.da1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918628
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': ['96.dh1.e1', '96.dh1.a1', '96.dh1.g1', '96.dh1.c1', '96.dh1.f1', '96.dh1.b1', '96.dh1.h1', '96.dh1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.h1.a1'], 'contains': ['16.d1.a1', '16.o1.a1', '16.bb1.a1', '16.bp1.a1', '16.bp1.b1', '24.u1.a1'], 'core': '8.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32, 256, 64, 452, 384, 16], 'label': '768.87077.8.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': ['4.b1.a1', '4.h1.a1', '4.e1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918629
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.a1', '16.ct1.a1', '16.dd1.a1'], 'contains': ['64.bc1.a1', '96.db1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 2, 16, 256], 'label': '768.87077.32.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bc1.a1', 'old_label': '32.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918630
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.b1', '16.ct1.b1', '16.dd1.b1'], 'contains': ['64.bc1.b1', '96.db1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 82, 16, 256], 'label': '768.87077.32.db1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bc1.b1', 'old_label': '32.db1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.db1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918631
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.bz1.a1'], 'contains': ['64.be1.a1', '64.bg1.a1', '64.bg1.b1', '64.bj1.a1', '64.bk1.a1', '64.bw1.a1', '64.bw1.b1', '96.dc1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 384, 256], 'label': '768.87077.32.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918632
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.bz1.a1'], 'contains': ['64.be1.b1', '64.bg1.c1', '64.bg1.d1', '64.bj1.a1', '64.bk1.a1', '64.bw1.a1', '64.bw1.b1', '96.dc1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 454, 384, 256], 'label': '768.87077.32.dc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918633
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.ca1.a1'], 'contains': ['64.be1.a1', '64.bh1.a1', '64.bh1.b1', '64.bj1.a1', '64.bm1.a1', '64.bx1.a1', '64.bx1.b1', '96.dd1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [396, 390, 384, 256], 'label': '768.87077.32.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918634
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.ca1.a1'], 'contains': ['64.be1.b1', '64.bh1.c1', '64.bh1.d1', '64.bj1.a1', '64.bm1.a1', '64.bx1.a1', '64.bx1.b1', '96.dd1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 390, 384, 256], 'label': '768.87077.32.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918635
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.cb1.a1'], 'contains': ['64.be1.a1', '64.bi1.a1', '64.bl1.a1', '64.bn1.a1', '64.by1.a1', '64.by1.a2', '96.de1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388, 384, 256], 'label': '768.87077.32.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918636
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.cb1.b1'], 'contains': ['64.be1.a1', '64.bi1.b1', '64.bl1.b1', '64.bn1.a1', '64.by1.b1', '64.by1.b2', '96.de1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 384, 256], 'label': '768.87077.32.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918637
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.cb1.a1'], 'contains': ['64.be1.b1', '64.bi1.c1', '64.bl1.a1', '64.bn1.a1', '64.by1.a1', '64.by1.a2', '96.de1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388, 384, 256], 'label': '768.87077.32.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918638
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.cb1.b1'], 'contains': ['64.be1.b1', '64.bi1.d1', '64.bl1.b1', '64.bn1.a1', '64.by1.b1', '64.by1.b2', '96.de1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 384, 256], 'label': '768.87077.32.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918639
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['96.dh1.d1', '96.dh1.h1', '96.dh1.f1', '96.dh1.b1', '96.dh1.c1', '96.dh1.g1', '96.dh1.e1', '96.dh1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.h1.a1'], 'contains': ['16.d1.a1', '16.p1.a1', '16.db1.a1', '24.v1.a1'], 'core': '8.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [418, 256, 16, 452, 384, 464], 'label': '768.87077.8.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': ['4.c1.a1', '4.h1.a1', '4.d1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918640
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.cd1.a1'], 'contains': ['64.bf1.a1', '64.bg1.a1', '64.bh1.a1', '64.bq1.a1', '64.br1.a1', '64.bw1.a1', '64.bx1.a1', '96.df1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 448, 256], 'label': '768.87077.32.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918641
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.cd1.b1'], 'contains': ['64.bf1.a1', '64.bg1.b1', '64.bh1.b1', '64.bq1.b1', '64.br1.a1', '64.bw1.b1', '64.bx1.b1', '96.df1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [76, 454, 448, 256], 'label': '768.87077.32.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918642
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.cd1.a1'], 'contains': ['64.bf1.b1', '64.bg1.c1', '64.bh1.c1', '64.bq1.a1', '64.br1.a1', '64.bw1.a1', '64.bx1.a1', '96.df1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 6, 448, 256], 'label': '768.87077.32.df1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918643
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.cd1.b1'], 'contains': ['64.bf1.b1', '64.bg1.d1', '64.bh1.d1', '64.bq1.b1', '64.br1.a1', '64.bw1.b1', '64.bx1.b1', '96.df1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 448, 256], 'label': '768.87077.32.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918644
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.a1', '64.bi1.a1', '64.bi1.b1', '64.bs1.a1', '64.bt1.a1', '64.by1.a2', '64.by1.b1', '96.dg1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 448, 256], 'label': '768.87077.32.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918645
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.a1', '64.bi1.a1', '64.bi1.b1', '64.bs1.a2', '64.bt1.a1', '64.by1.a1', '64.by1.b2', '96.dg1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 464, 256], 'label': '768.87077.32.dg1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918646
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.b1', '64.bi1.c1', '64.bi1.d1', '64.bs1.a1', '64.bt1.a1', '64.by1.a1', '64.by1.b2', '96.dg1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 448, 256], 'label': '768.87077.32.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918647
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.b1', '64.bi1.c1', '64.bi1.d1', '64.bs1.a2', '64.bt1.a1', '64.by1.a2', '64.by1.b1', '96.dg1.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 464, 256], 'label': '768.87077.32.dg1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918648
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a2', '16.ci1.a1'], 'contains': ['64.bh1.a1', '64.ca1.a1', '64.ca1.c1', '96.dh1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 12, 256, 6], 'label': '768.87077.32.dh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918649
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a2', '16.ci1.b1'], 'contains': ['64.bh1.a1', '64.ca1.b1', '64.ca1.d1', '96.dh1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 12, 256, 6], 'label': '768.87077.32.dh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918650
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['96.dh1.h1', '96.dh1.d1', '96.dh1.b1', '96.dh1.f1', '96.dh1.g1', '96.dh1.c1', '96.dh1.a1', '96.dh1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.d1.a1', '16.q1.a1', '16.co1.a1', '16.co1.b1', '24.w1.a1'], 'core': '8.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40, 256, 16, 452, 64, 400], 'label': '768.87077.8.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': ['4.c1.a1', '4.f1.a1', '4.e1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918651
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a1', '16.ci1.c1'], 'contains': ['64.bh1.b1', '64.ca1.a1', '64.ca1.d1', '96.dh1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 396, 256, 390], 'label': '768.87077.32.dh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918652
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a1', '16.ci1.d1'], 'contains': ['64.bh1.b1', '64.ca1.b1', '64.ca1.c1', '96.dh1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 396, 256, 390], 'label': '768.87077.32.dh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918653
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a1', '16.ci1.a1'], 'contains': ['64.bh1.c1', '64.ca1.a1', '64.ca1.c1', '96.dh1.e1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 28, 256, 6], 'label': '768.87077.32.dh1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918654
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a1', '16.ci1.b1'], 'contains': ['64.bh1.c1', '64.ca1.b1', '64.ca1.d1', '96.dh1.f1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 28, 256, 6], 'label': '768.87077.32.dh1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918655
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a2', '16.ci1.c1'], 'contains': ['64.bh1.d1', '64.ca1.a1', '64.ca1.d1', '96.dh1.g1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 412, 256, 390], 'label': '768.87077.32.dh1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918656
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a2', '16.ci1.d1'], 'contains': ['64.bh1.d1', '64.ca1.b1', '64.ca1.c1', '96.dh1.h1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 412, 256, 390], 'label': '768.87077.32.dh1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918657
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.a1', '16.bw1.a1', '16.cm1.a1'], 'contains': ['64.bk1.a1', '64.bo1.a1', '64.bp1.a1', '96.di1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [56, 454, 400, 256], 'label': '768.87077.32.di1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.di1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.di1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918658
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.b1', '16.bw1.a1', '16.cm1.a1'], 'contains': ['64.bk1.a1', '64.bo1.b1', '64.bp1.a1', '96.di1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 454, 400, 256], 'label': '768.87077.32.di1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.di1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.di1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918659
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.cn1.a1'], 'contains': ['64.bl1.a1', '64.bo1.b1', '64.bo2.a1', '64.bz1.b1', '64.bz2.a1', '64.bz2.a2', '96.dj1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 388, 384, 256], 'label': '768.87077.32.dj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918660
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.cn1.a1'], 'contains': ['64.bl1.a1', '64.bo1.a1', '64.bo2.a1', '64.bz1.a1', '64.bz2.a1', '64.bz2.a2', '96.dj1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 388, 384, 256], 'label': '768.87077.32.dj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918661
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.d1', '96.dl1.c1', '96.dl1.b1', '96.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.r1.a1', '4.s1.a1'], 'contains': ['16.i1.a1', '16.cr1.c1', '24.h1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 16, 400, 388, 256, 6], 'label': '768.87077.8.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': ['4.g1.b1'], 'normal_contains': ['16.i1.a1', '24.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918662
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.cn1.b1'], 'contains': ['64.bl1.b1', '64.bo1.b1', '64.bo2.a1', '64.bz1.d1', '64.bz2.b1', '64.bz2.b2', '96.dj1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 384, 256], 'label': '768.87077.32.dj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918663
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.cn1.b1'], 'contains': ['64.bl1.b1', '64.bo1.a1', '64.bo2.a1', '64.bz1.c1', '64.bz2.b1', '64.bz2.b2', '96.dj1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 384, 256], 'label': '768.87077.32.dj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918664
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.a1', '16.bw1.a1', '16.cq1.a1'], 'contains': ['64.bm1.a1', '64.bo1.a1', '64.bp1.a1', '96.dk1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [56, 390, 400, 256], 'label': '768.87077.32.dk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.dk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918665
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.b1', '16.bw1.a1', '16.cq1.a1'], 'contains': ['64.bm1.a1', '64.bo1.b1', '64.bp1.a1', '96.dk1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 390, 400, 256], 'label': '768.87077.32.dk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.dk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918666
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.a1', '16.bv1.a1', '16.cw1.a1'], 'contains': ['64.bq1.a1', '64.bu1.a1', '64.bv1.a1', '96.dl1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 418, 464, 256], 'label': '768.87077.32.dl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918667
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.b1', '16.bv1.a1', '16.cw1.a1'], 'contains': ['64.bq1.a1', '64.bu1.b1', '64.bv1.a1', '96.dl1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 418, 464, 256], 'label': '768.87077.32.dl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918668
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.a1', '16.bv1.a1', '16.cw1.b1'], 'contains': ['64.bq1.b1', '64.bu1.a1', '64.bv1.a1', '96.dl1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [76, 418, 464, 256], 'label': '768.87077.32.dl1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918669
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.b1', '16.bv1.a1', '16.cw1.b1'], 'contains': ['64.bq1.b1', '64.bu1.b1', '64.bv1.a1', '96.dl1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 418, 464, 256], 'label': '768.87077.32.dl1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918670
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a1', '64.bu1.b1', '64.bu2.a1', '64.bz1.b1', '64.bz1.d1', '64.bz2.a1', '64.bz2.b2', '96.dm1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 448, 256], 'label': '768.87077.32.dm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918671
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a2', '64.bu1.b1', '64.bu2.a1', '64.bz1.b1', '64.bz1.d1', '64.bz2.a2', '64.bz2.b1', '96.dm1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 464, 256], 'label': '768.87077.32.dm1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918672
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.d1', '96.dl1.c1', '96.dl1.b1', '96.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.r1.b1', '4.s1.b1'], 'contains': ['16.i1.a1', '16.cr1.d1', '24.h1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [105, 16, 400, 388, 256, 6], 'label': '768.87077.8.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': ['4.g1.b1'], 'normal_contains': ['16.i1.a1', '24.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918673
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a1', '64.bu1.a1', '64.bu2.a1', '64.bz1.a1', '64.bz1.c1', '64.bz2.a2', '64.bz2.b1', '96.dm1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 448, 256], 'label': '768.87077.32.dm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918674
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a2', '64.bu1.a1', '64.bu2.a1', '64.bz1.a1', '64.bz1.c1', '64.bz2.a1', '64.bz2.b2', '96.dm1.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 464, 256], 'label': '768.87077.32.dm1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918675
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.i1.a1', '24.j1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '96.q1.a1', '96.q1.b1', '96.bj1.a1', '96.bx1.a1', '96.by1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 384, 16], 'label': '768.87077.48.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1', '24.a1.a1', '24.c1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918676
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1', '24.o1.a1', '24.p1.a1'], 'contains': ['96.b1.a1', '96.h1.a1', '96.h1.b1', '96.i1.a1', '96.u1.a1', '96.bm1.a1', '96.cd1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 64, 384, 16], 'label': '768.87077.48.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1'], 'normal_contains': ['96.b1.a1', '96.h1.b1', '96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918677
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.f1.a1', '24.g1.a1', '24.q1.a1', '24.r1.a1', '24.r1.b1', '24.s1.a1'], 'contains': ['96.b1.a1', '96.d1.a1', '96.f1.a1', '96.j1.a1', '96.v1.a1', '96.bn1.a1', '96.ci1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 64, 384, 16], 'label': '768.87077.48.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1', '24.f1.a1', '24.g1.a1'], 'normal_contains': ['96.b1.a1', '96.d1.a1', '96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918678
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.b1.a1', '24.d1.a1', '24.f1.a1', '24.t1.a1', '24.u1.a1', '24.v1.a1', '24.w1.a1'], 'contains': ['96.b1.a1', '96.e1.a1', '96.e1.b1', '96.k1.a1', '96.w1.a1', '96.bo1.a1', '96.cj1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [452, 64, 384, 16], 'label': '768.87077.48.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.d1.a1', '24.b1.a1', '24.f1.a1', '24.d1.a1'], 'normal_contains': ['96.b1.a1', '96.e1.b1', '96.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918679
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.b1.a1', '24.e1.a1', '24.g1.a1', '24.x1.a1', '24.y1.a1'], 'contains': ['96.b1.a1', '96.l1.a1', '96.x1.a1', '96.bp1.a1', '96.ce1.a1', '96.ck1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [478, 64, 384, 16], 'label': '768.87077.48.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.e1.a1', '24.b1.a1', '24.g1.a1', '24.e1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918680
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.c1.a1', '24.e1.a1', '24.f1.a1', '24.z1.a1', '24.bb1.a1', '24.bc1.a1', '24.bc1.b1'], 'contains': ['96.b1.a1', '96.g1.a1', '96.g1.b1', '96.n1.a1', '96.cm1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 64, 384], 'label': '768.87077.48.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': ['16.f1.a1', '24.c1.a1', '24.f1.a1', '24.e1.a1'], 'normal_contains': ['96.b1.a1', '96.g1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918681
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.c1.a1', '24.d1.a1', '24.g1.a1', '24.ba1.a1', '24.bd1.a1'], 'contains': ['96.b1.a1', '96.o1.a1', '96.cg1.a1', '96.cn1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 64, 384], 'label': '768.87077.48.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': ['16.g1.a1', '24.c1.a1', '24.d1.a1', '24.g1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918682
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.f1.a1', '24.bk1.a1', '24.bp1.a1', '24.bq1.a1'], 'contains': ['96.d1.a1', '96.e1.a1', '96.g1.b1', '96.cv1.a1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 388, 384], 'label': '768.87077.48.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.a1', 'normal_contained_in': ['16.h1.a1', '24.f1.a1'], 'normal_contains': ['96.e1.a1', '96.d1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918683
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.b1', '96.dl1.a1', '96.dl1.d1', '96.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.r1.c1', '4.s1.c1'], 'contains': ['16.i1.b1', '16.cr1.a1', '24.h1.c1'], 'core': '8.l1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 16, 384, 452, 256, 390], 'label': '768.87077.8.l1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': ['4.g1.a1'], 'normal_contains': ['16.i1.b1', '24.h1.c1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918684
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '24.f1.a1', '24.bk1.b1', '24.bp1.b1', '24.bq1.b1'], 'contains': ['96.d1.a1', '96.e1.b1', '96.g1.a1', '96.cv1.b1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 452, 384], 'label': '768.87077.48.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.b1', 'normal_contained_in': ['16.h1.b1', '24.f1.a1'], 'normal_contains': ['96.e1.b1', '96.d1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918685
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.f1.a1', '24.h1.a1', '24.h1.b1', '24.bl1.a1', '24.br1.a1', '24.bs1.a1', '24.bt1.a1'], 'contains': ['96.e1.a1', '96.f1.a1', '96.g1.a1', '96.cx1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 388, 384], 'label': '768.87077.48.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.a1', 'normal_contained_in': ['16.i1.a1', '24.f1.a1', '24.h1.a1', '24.h1.b1'], 'normal_contains': ['96.e1.a1', '96.f1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918686
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '24.f1.a1', '24.h1.c1', '24.h1.d1', '24.bl1.b1', '24.br1.b1', '24.bs1.b1', '24.bt1.b1'], 'contains': ['96.e1.b1', '96.f1.a1', '96.g1.b1', '96.cx1.b1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 452, 384], 'label': '768.87077.48.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.b1', 'normal_contained_in': ['16.i1.b1', '24.f1.a1', '24.h1.d1', '24.h1.c1'], 'normal_contains': ['96.e1.b1', '96.f1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918687
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '24.a1.a1', '24.k1.a1', '24.l1.a1'], 'contains': ['96.a1.a1', '96.i1.a1', '96.j1.a1', '96.r1.a1', '96.r1.b1', '96.bk1.a1', '96.bk1.a2', '96.bz1.a1', '96.bz1.b1', '96.ca1.a1', '96.ca1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 390, 64, 16], 'label': '768.87077.48.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918688
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '24.b1.a1', '24.k1.a1', '24.m1.a1'], 'contains': ['96.a1.a1', '96.k1.a1', '96.l1.a1', '96.s1.a1', '96.s1.b1', '96.bl1.a1', '96.cb1.a1', '96.cb1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 452, 64, 16], 'label': '768.87077.48.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918689
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '24.i1.a1', '24.m1.a1'], 'contains': ['96.a1.a1', '96.m1.a1', '96.p1.a1', '96.t1.a1', '96.t1.b1', '96.t1.c1', '96.t1.d1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 16], 'label': '768.87077.48.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918690
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '24.c1.a1', '24.k1.a1', '24.n1.a1'], 'contains': ['96.a1.a1', '96.n1.a1', '96.o1.a1', '96.cc1.a1', '96.cc1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 2, 64], 'label': '768.87077.48.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918691
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '24.i1.a1', '24.o1.a1', '24.q1.a1', '24.t1.a1', '24.x1.a1', '24.z1.a1', '24.ba1.a1'], 'contains': ['96.b1.a1', '96.m1.a1', '96.y1.a1', '96.y1.b1', '96.y2.a1', '96.bq1.a1', '96.bq2.a1', '96.cf1.a1', '96.cl1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 64, 384, 16], 'label': '768.87077.48.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918692
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '24.i1.a1', '24.p1.a1', '24.s1.a1', '24.u1.a1', '24.x1.a1', '24.bb1.a1', '24.bd1.a1'], 'contains': ['96.b1.a1', '96.p1.a1', '96.z1.a1', '96.z1.b1', '96.z2.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 384, 16], 'label': '768.87077.48.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918693
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '24.j1.a1', '24.o1.a1', '24.s1.a1', '24.v1.a1', '24.y1.a1', '24.ba1.a1', '24.bb1.a1'], 'contains': ['96.b1.a1', '96.ba1.a1', '96.br1.a1', '96.co1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [418, 384, 16], 'label': '768.87077.48.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918694
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.b1', '96.dl1.a1', '96.dl1.d1', '96.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.r1.d1', '4.s1.d1'], 'contains': ['16.i1.b1', '16.cr1.b1', '24.h1.d1'], 'core': '8.l1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [97, 16, 384, 452, 256, 390], 'label': '768.87077.8.l1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': ['4.g1.a1'], 'normal_contains': ['16.i1.b1', '24.h1.d1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918695
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '24.j1.a1', '24.p1.a1', '24.q1.a1', '24.w1.a1', '24.y1.a1', '24.z1.a1', '24.bd1.a1'], 'contains': ['96.b1.a1', '96.bb1.a1', '96.bs1.a1', '96.ch1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 64, 16], 'label': '768.87077.48.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918696
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '24.a1.a1', '24.be1.a1', '24.bf1.a1'], 'contains': ['96.c1.a1', '96.i1.a1', '96.j1.a1', '96.bc1.a1', '96.bt1.a1', '96.cp1.a1', '96.cp1.b1', '96.cq1.a1', '96.cq1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 390, 64, 16], 'label': '768.87077.48.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918697
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '24.d1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.i1.a1', '96.k1.a1', '96.o1.a1', '96.cr1.a1', '96.cr1.b1', '96.cr1.c1', '96.cr1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 452, 64], 'label': '768.87077.48.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918698
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '24.e1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.i1.a1', '96.l1.a1', '96.n1.a1', '96.cs1.a1', '96.cs1.b1', '96.cs1.c1', '96.cs1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 2, 64], 'label': '768.87077.48.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918699
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '24.b1.a1', '24.be1.a1', '24.bg1.a1'], 'contains': ['96.c1.a1', '96.k1.a1', '96.l1.a1', '96.bd1.a1', '96.bd1.a2', '96.bu1.a1', '96.ct1.a1', '96.ct1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 452, 64, 16], 'label': '768.87077.48.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918761
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1'], 'contains': ['16.m1.a1', '16.bd1.a1', '16.bd1.b1', '24.n1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 8, 2, 64], 'label': '768.87077.8.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '8.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918700
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '24.i1.a1', '24.bg1.a1'], 'contains': ['96.c1.a1', '96.m1.a1', '96.p1.a1', '96.be1.a1', '96.be1.b1', '96.be1.c1', '96.be1.d1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 16], 'label': '768.87077.48.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918701
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.w1.a1', '24.c1.a1', '24.be1.a1', '24.bh1.a1'], 'contains': ['96.c1.a1', '96.n1.a1', '96.o1.a1', '96.cu1.a1', '96.cu1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 2, 64], 'label': '768.87077.48.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918702
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.x1.a1', '24.f1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.j1.a1', '96.k1.a1', '96.n1.a1', '96.cv1.a1', '96.cv1.b1', '96.cx1.a1', '96.cx1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452, 64], 'label': '768.87077.48.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918703
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '24.g1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.j1.a1', '96.l1.a1', '96.o1.a1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 64], 'label': '768.87077.48.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918704
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '24.l1.a1', '24.r1.a1', '24.bf1.a1'], 'contains': ['96.j1.a1', '96.bf1.a1', '96.bv1.a1', '96.da1.a1', '96.da1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 64, 16], 'label': '768.87077.48.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918705
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.l1.a1', '16.n1.a1', '16.o1.a1', '16.v1.a1', '16.bg1.a1', '16.bg1.b1', '16.bg1.c1', '16.bg1.d1', '16.bg2.a1', '16.bg2.b1', '24.i1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 64, 32, 384, 16], 'label': '768.87077.8.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918706
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '24.l1.a1', '24.r1.b1', '24.bf1.a1'], 'contains': ['96.j1.a1', '96.bf1.b1', '96.bv1.b1', '96.da1.c1', '96.da1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 64, 16], 'label': '768.87077.48.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918707
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '24.m1.a1', '24.t1.a1', '24.bg1.a1'], 'contains': ['96.k1.a1', '96.m1.a1', '96.bg1.a1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.bw1.a1', '96.bw1.a2', '96.cy1.a1', '96.cy1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 64, 16], 'label': '768.87077.48.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918708
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '24.m1.a1', '24.u1.a1', '24.bg1.a1'], 'contains': ['96.k1.a1', '96.p1.a1', '96.bh1.a1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 452, 16], 'label': '768.87077.48.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918709
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '24.m1.a1', '24.x1.a1', '24.bg1.a1'], 'contains': ['96.l1.a1', '96.m1.a1', '96.p1.a1', '96.bi1.a1', '96.bi1.b1', '96.bi1.c1', '96.bi1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [94, 32, 16], 'label': '768.87077.48.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918710
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '24.m1.a1', '24.x1.a1', '24.bg1.a1'], 'contains': ['96.l1.a1', '96.m1.a1', '96.p1.a1', '96.bi1.a2', '96.bi1.b2', '96.bi1.c2', '96.bi1.d2'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32, 16], 'label': '768.87077.48.bc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918711
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.a1', '24.n1.a1', '24.bc1.a1', '24.bh1.a1'], 'contains': ['96.n1.a1', '96.db1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 64], 'label': '768.87077.48.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '48.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918712
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.b1', '24.n1.a1', '24.bc1.b1', '24.bh1.a1'], 'contains': ['96.n1.a1', '96.db1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9, 64], 'label': '768.87077.48.bd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '48.bd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918713
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '24.a1.a1', '24.bi1.a1', '24.bi1.b1'], 'contains': ['96.q1.a1', '96.r1.a1', '96.u1.a1', '96.v1.a1', '96.bc1.a1', '96.dc1.a1', '96.dd1.a1', '96.df1.a1', '96.df1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454, 64, 384], 'label': '768.87077.48.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '48.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918714
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '24.a1.a1', '24.bi1.c1', '24.bi1.d1'], 'contains': ['96.q1.b1', '96.r1.b1', '96.u1.a1', '96.v1.a1', '96.bc1.a1', '96.dc1.b1', '96.dd1.b1', '96.df1.c1', '96.df1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 454, 64, 384], 'label': '768.87077.48.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '48.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918715
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '24.b1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.q1.a1', '96.s1.a1', '96.w1.a1', '96.x1.a1', '96.bd1.a1', '96.bd1.a2', '96.de1.a1', '96.de1.b1', '96.dg1.a1', '96.dg1.a2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 64, 384], 'label': '768.87077.48.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '48.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918716
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': ['384.d1.a1', '384.d1.b1', '384.h1.a1', '384.g1.b1', '384.g1.a1', '384.l1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.f1.a1', '4.g1.b1', '4.i1.a1', '4.s1.a1', '4.s1.b1', '6.d1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 388, 384, 40, 2, 256, 16, 64], 'label': '768.87077.2.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.f1.a1', '4.g1.b1', '4.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918717
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.p1.a1', '16.q1.a1', '16.bh1.a1', '16.bh1.b1', '24.j1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 400, 418, 16, 64], 'label': '768.87077.8.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918718
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '24.b1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.q1.b1', '96.s1.b1', '96.w1.a1', '96.x1.a1', '96.bd1.a1', '96.bd1.a2', '96.de1.c1', '96.de1.d1', '96.dg1.b1', '96.dg1.b2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 452, 64, 384], 'label': '768.87077.48.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '48.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918719
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.a1', '24.i1.a1', '24.bi1.a1', '24.bj1.b1'], 'contains': ['96.q1.a1', '96.t1.a1', '96.y1.a1', '96.z1.a1', '96.be1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 32, 384], 'label': '768.87077.48.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918720
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.b1', '24.i1.a1', '24.bi1.b1', '24.bj1.a1'], 'contains': ['96.q1.a1', '96.t1.b1', '96.y1.b1', '96.z1.b1', '96.be1.d1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 48, 384], 'label': '768.87077.48.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918721
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.c1', '24.i1.a1', '24.bi1.c1', '24.bj1.d1'], 'contains': ['96.q1.b1', '96.t1.c1', '96.y1.a1', '96.z1.b1', '96.be1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26, 48, 384], 'label': '768.87077.48.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918722
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.d1', '24.i1.a1', '24.bi1.d1', '24.bj1.c1'], 'contains': ['96.q1.b1', '96.t1.d1', '96.y1.b1', '96.z1.a1', '96.be1.c1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26, 32, 384], 'label': '768.87077.48.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918723
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg2.a1', '24.i1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.q1.a1', '96.t1.a1', '96.t1.b1', '96.y2.a1', '96.z2.a1', '96.be1.b1', '96.be1.c1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 400], 'label': '768.87077.48.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918724
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg2.b1', '24.i1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.q1.b1', '96.t1.c1', '96.t1.d1', '96.y2.a1', '96.z2.a1', '96.be1.a1', '96.be1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 400], 'label': '768.87077.48.bg2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bg2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918725
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bh1.a1', '24.j1.a1', '24.bi1.a1', '24.bi1.b1'], 'contains': ['96.q1.a1', '96.ba1.a1', '96.bb1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 418], 'label': '768.87077.48.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918726
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bh1.b1', '24.j1.a1', '24.bi1.c1', '24.bi1.d1'], 'contains': ['96.q1.b1', '96.ba1.a1', '96.bb1.a1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 418], 'label': '768.87077.48.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918727
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '24.l1.a1'], 'contains': ['96.r1.a1', '96.bf1.a1', '96.bf1.b1', '96.dh1.a1', '96.dh1.b1', '96.dh1.c1', '96.dh1.d1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 460, 64], 'label': '768.87077.48.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918728
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.j1.a1', '16.k1.a1', '16.m1.a1', '16.s1.a1', '16.t1.a1', '16.x1.a1', '16.y1.a1', '16.cg1.a1', '16.cg1.b1', '16.cg1.c1', '16.cg1.d1', '16.ch1.a1', '16.ch1.b1', '16.ch1.c1', '16.ch1.d1', '24.k1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 256, 2, 452, 64], 'label': '768.87077.8.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918729
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '24.l1.a1'], 'contains': ['96.r1.b1', '96.bf1.a1', '96.bf1.b1', '96.dh1.e1', '96.dh1.f1', '96.dh1.g1', '96.dh1.h1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 476, 64], 'label': '768.87077.48.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918730
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.a1', '24.m1.a1', '24.bj1.b1'], 'contains': ['96.s1.a1', '96.t1.a1', '96.bg1.a1', '96.bh1.a1', '96.bi1.a1', '96.bi1.a2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 452], 'label': '768.87077.48.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918731
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.b1', '24.m1.a1', '24.bj1.a1'], 'contains': ['96.s1.a1', '96.t1.b1', '96.bg1.b1', '96.bh1.b1', '96.bi1.d1', '96.bi1.d2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48, 452], 'label': '768.87077.48.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918732
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.c1', '24.m1.a1', '24.bj1.d1'], 'contains': ['96.s1.b1', '96.t1.c1', '96.bg1.a1', '96.bh1.b1', '96.bi1.b1', '96.bi1.b2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48, 452], 'label': '768.87077.48.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918733
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.d1', '24.m1.a1', '24.bj1.c1'], 'contains': ['96.s1.b1', '96.t1.d1', '96.bg1.b1', '96.bh1.a1', '96.bi1.c1', '96.bi1.c2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 452], 'label': '768.87077.48.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918734
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.a1', '24.m1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.s1.a1', '96.t1.a1', '96.t1.b1', '96.bg2.a1', '96.bh2.a1', '96.bi1.b1', '96.bi1.c2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 468], 'label': '768.87077.48.bj2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918735
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.a2', '24.m1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.s1.a1', '96.t1.a1', '96.t1.b1', '96.bg2.a2', '96.bh2.a2', '96.bi1.b2', '96.bi1.c1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48, 468], 'label': '768.87077.48.bj2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918736
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.b1', '24.m1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.s1.b1', '96.t1.c1', '96.t1.d1', '96.bg2.a1', '96.bh2.a2', '96.bi1.a1', '96.bi1.d2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48, 468], 'label': '768.87077.48.bj2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918737
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.b2', '24.m1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.s1.b1', '96.t1.c1', '96.t1.d1', '96.bg2.a2', '96.bh2.a1', '96.bi1.a2', '96.bi1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 468], 'label': '768.87077.48.bj2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918738
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.a1', '24.o1.a1', '24.bi1.a1', '24.bi1.c1'], 'contains': ['96.u1.a1', '96.y1.a1', '96.ba1.a1', '96.dl1.a1', '96.dl1.c1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 418, 400], 'label': '768.87077.48.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918739
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.j1.a1', '16.z1.a1', '16.z1.b1', '16.bi1.a1', '16.bi1.b1', '16.bu1.a1', '16.bu1.a2', '16.ci1.a1', '16.ci1.b1', '16.ci1.c1', '16.ci1.d1', '24.l1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 390, 256, 476, 64, 16], 'label': '768.87077.8.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918740
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.b1', '24.o1.a1', '24.bi1.b1', '24.bi1.d1'], 'contains': ['96.u1.a1', '96.y1.b1', '96.ba1.a1', '96.dl1.b1', '96.dl1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [460, 418, 400], 'label': '768.87077.48.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918741
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bl1.a1', '24.p1.a1', '24.bi1.a1', '24.bi1.d1'], 'contains': ['96.u1.a1', '96.z1.a1', '96.bb1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 32], 'label': '768.87077.48.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918742
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bl1.b1', '24.p1.a1', '24.bi1.b1', '24.bi1.c1'], 'contains': ['96.u1.a1', '96.z1.b1', '96.bb1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 48], 'label': '768.87077.48.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918743
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.a1', '24.q1.a1', '24.bi1.a1', '24.bi1.c1'], 'contains': ['96.v1.a1', '96.y1.a1', '96.bb1.a1', '96.di1.a1', '96.dk1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [56, 454, 64], 'label': '768.87077.48.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918744
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.b1', '24.q1.a1', '24.bi1.b1', '24.bi1.d1'], 'contains': ['96.v1.a1', '96.y1.b1', '96.bb1.a1', '96.di1.b1', '96.dk1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 454, 64], 'label': '768.87077.48.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918745
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bn1.a1', '24.s1.a1', '24.bi1.a1', '24.bi1.d1'], 'contains': ['96.v1.a1', '96.z1.a1', '96.ba1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 454], 'label': '768.87077.48.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918746
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bn1.b1', '24.s1.a1', '24.bi1.b1', '24.bi1.c1'], 'contains': ['96.v1.a1', '96.z1.b1', '96.ba1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 454], 'label': '768.87077.48.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918747
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '24.t1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.w1.a1', '96.y1.b1', '96.y2.a1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.dj1.a1', '96.dj1.c1', '96.dm1.a1', '96.dm1.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 452, 64, 384], 'label': '768.87077.48.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918748
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '24.t1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.w1.a1', '96.y1.a1', '96.y2.a1', '96.bg1.a1', '96.bg2.a1', '96.bg2.a2', '96.dj1.b1', '96.dj1.d1', '96.dm1.b1', '96.dm1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 64, 384], 'label': '768.87077.48.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918749
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bp1.a1', '24.u1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.w1.a1', '96.z1.b1', '96.z2.a1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 452, 384], 'label': '768.87077.48.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918750
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.k1.a1', '16.l1.a1', '16.ba1.a1', '16.bb1.a1', '16.bc1.a1', '16.bc1.a2', '16.bj1.a1', '16.bj1.b1', '16.bj1.c1', '16.bj1.d1', '16.bj2.a1', '16.bj2.a2', '16.bj2.b1', '16.bj2.b2', '24.m1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 64, 32, 452, 16], 'label': '768.87077.8.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918751
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bp1.b1', '24.u1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.w1.a1', '96.z1.a1', '96.z2.a1', '96.bh1.a1', '96.bh2.a1', '96.bh2.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 452, 384], 'label': '768.87077.48.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918752
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq1.a1', '24.x1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.x1.a1', '96.y2.a1', '96.z1.a1', '96.bi1.a1', '96.bi1.a2', '96.bi1.c1', '96.bi1.c2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32, 384], 'label': '768.87077.48.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918753
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq1.b1', '24.x1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.x1.a1', '96.y2.a1', '96.z1.b1', '96.bi1.b1', '96.bi1.b2', '96.bi1.d1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 48, 384], 'label': '768.87077.48.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918754
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq2.a1', '24.x1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.x1.a1', '96.y1.a1', '96.z2.a1', '96.bi1.a1', '96.bi1.a2', '96.bi1.b1', '96.bi1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32, 400], 'label': '768.87077.48.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918755
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq2.b1', '24.x1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.x1.a1', '96.y1.b1', '96.z2.a1', '96.bi1.c1', '96.bi1.c2', '96.bi1.d1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [462, 32, 400], 'label': '768.87077.48.bq2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918756
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.a1', '24.bg1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.bd1.a1', '96.be1.a1', '96.be1.c1', '96.bg2.a1', '96.bh1.a1', '96.bi1.a2', '96.bi1.c1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 452], 'label': '768.87077.48.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918757
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.a2', '24.bg1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.bd1.a2', '96.be1.a1', '96.be1.c1', '96.bg2.a2', '96.bh1.a1', '96.bi1.a1', '96.bi1.c2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 32, 452], 'label': '768.87077.48.br1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918758
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.b1', '24.bg1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.bd1.a1', '96.be1.b1', '96.be1.d1', '96.bg2.a2', '96.bh1.b1', '96.bi1.b1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 48, 452], 'label': '768.87077.48.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918759
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.b2', '24.bg1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.bd1.a2', '96.be1.b1', '96.be1.d1', '96.bg2.a1', '96.bh1.b1', '96.bi1.b2', '96.bi1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 48, 452], 'label': '768.87077.48.br1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918760
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.a1', '24.bg1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.bd1.a1', '96.be1.a1', '96.be1.b1', '96.bg1.a1', '96.bh2.a1', '96.bi1.a1', '96.bi1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 468], 'label': '768.87077.48.br2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918762
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.a2', '24.bg1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.bd1.a2', '96.be1.a1', '96.be1.b1', '96.bg1.a1', '96.bh2.a2', '96.bi1.a2', '96.bi1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 48, 468], 'label': '768.87077.48.br2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918763
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.b1', '24.bg1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.bd1.a1', '96.be1.c1', '96.be1.d1', '96.bg1.b1', '96.bh2.a2', '96.bi1.c2', '96.bi1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 48, 468], 'label': '768.87077.48.br2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918764
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.b2', '24.bg1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.bd1.a2', '96.be1.c1', '96.be1.d1', '96.bg1.b1', '96.bh2.a1', '96.bi1.c1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 32, 468], 'label': '768.87077.48.br2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918765
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bs1.a1', '24.a1.a1'], 'contains': ['96.bj1.a1', '96.bk1.a1', '96.bk1.a2', '96.bm1.a1', '96.bn1.a1', '96.bt1.a1', '96.dc1.a1', '96.dc1.b1', '96.dd1.a1', '96.dd1.b1', '96.df1.a1', '96.df1.b1', '96.df1.c1', '96.df1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 454, 80, 384], 'label': '768.87077.48.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '48.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918766
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bt1.a1', '24.b1.a1'], 'contains': ['96.bj1.a1', '96.bl1.a1', '96.bo1.a1', '96.bp1.a1', '96.bu1.a1', '96.de1.a1', '96.de1.b1', '96.de1.c1', '96.de1.d1', '96.dg1.a1', '96.dg1.a2', '96.dg1.b1', '96.dg1.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 80, 384], 'label': '768.87077.48.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '48.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918767
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bu1.a1', '24.l1.a1'], 'contains': ['96.bk1.a1', '96.bv1.a1', '96.bv1.b1', '96.dh1.c1', '96.dh1.d1', '96.dh1.e1', '96.dh1.f1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 476, 80], 'label': '768.87077.48.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918768
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bu1.a2', '24.l1.a1'], 'contains': ['96.bk1.a2', '96.bv1.a1', '96.bv1.b1', '96.dh1.a1', '96.dh1.b1', '96.dh1.g1', '96.dh1.h1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 460, 80], 'label': '768.87077.48.bu1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bu1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918769
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bv1.a1', '24.o1.a1'], 'contains': ['96.bm1.a1', '96.bq1.a1', '96.br1.a1', '96.dl1.a1', '96.dl1.b1', '96.dl1.c1', '96.dl1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [476, 418, 384], 'label': '768.87077.48.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '48.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918770
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bw1.a1', '24.q1.a1'], 'contains': ['96.bn1.a1', '96.bq2.a1', '96.bs1.a1', '96.di1.a1', '96.di1.b1', '96.dk1.a1', '96.dk1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40, 454, 80], 'label': '768.87077.48.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '48.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918771
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bx1.a1', '24.t1.a1'], 'contains': ['96.bo1.a1', '96.bq1.a1', '96.bq2.a1', '96.bw1.a1', '96.bw1.a2', '96.dj1.a1', '96.dj1.b1', '96.dj1.c1', '96.dj1.d1', '96.dm1.a1', '96.dm1.a2', '96.dm1.b1', '96.dm1.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 80, 384], 'label': '768.87077.48.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '48.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918772
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.j1.a1', '4.n1.a1'], 'contains': ['16.b1.a1', '16.n1.a1', '16.p1.a1', '16.bk1.a1', '16.bk1.b1', '16.bv1.a1', '16.cw1.a1', '16.cw1.b1', '24.o1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 464, 418, 384, 16], 'label': '768.87077.8.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918773
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.by1.a1', '24.y1.a1'], 'contains': ['96.bp1.a1', '96.br1.a1', '96.bs1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [478, 418], 'label': '768.87077.48.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.y1.a1', 'old_label': '48.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918774
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bz1.a1', '24.a1.a1', '24.bk1.a1', '24.bk1.b1'], 'contains': ['96.d1.a1', '96.bx1.a1', '96.bz1.a1', '96.bz1.b1', '96.cd1.a1', '96.cp1.a1', '96.cp1.b1', '96.dc1.a1', '96.dc1.b1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 454, 384, 16], 'label': '768.87077.48.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918775
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ca1.a1', '24.a1.a1', '24.bl1.a1', '24.bl1.b1', '24.bm1.a1', '24.bm1.b1', '24.bm1.c1', '24.bm1.d1'], 'contains': ['96.f1.a1', '96.bx1.a1', '96.ca1.a1', '96.ca1.b1', '96.cd1.a1', '96.cq1.a1', '96.cq1.b1', '96.dd1.a1', '96.dd1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 390, 384, 16], 'label': '768.87077.48.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918776
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cb1.a1', '24.b1.a1', '24.bk1.a1', '24.bl1.a1'], 'contains': ['96.e1.a1', '96.bx1.a1', '96.cb1.a1', '96.ce1.a1', '96.ct1.a1', '96.de1.a1', '96.de1.c1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 388, 384, 16], 'label': '768.87077.48.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918777
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cb1.b1', '24.b1.a1', '24.bk1.b1', '24.bl1.b1'], 'contains': ['96.e1.b1', '96.bx1.a1', '96.cb1.b1', '96.ce1.a1', '96.ct1.b1', '96.de1.b1', '96.de1.d1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 452, 384, 16], 'label': '768.87077.48.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918778
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cc1.a1', '24.c1.a1', '24.bk1.b1', '24.bl1.a1'], 'contains': ['96.g1.a1', '96.bx1.a1', '96.cc1.a1', '96.cg1.a1', '96.cu1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 2, 384], 'label': '768.87077.48.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918779
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cc1.b1', '24.c1.a1', '24.bk1.a1', '24.bl1.b1'], 'contains': ['96.g1.b1', '96.bx1.a1', '96.cc1.b1', '96.cg1.a1', '96.cu1.b1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 66, 384], 'label': '768.87077.48.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918780
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cd1.a1', '24.a1.a1', '24.bn1.a1', '24.bo1.a1'], 'contains': ['96.h1.a1', '96.by1.a1', '96.bz1.a1', '96.ca1.a1', '96.ci1.a1', '96.cp1.a1', '96.cq1.a1', '96.df1.a1', '96.df1.c1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 6, 448, 16], 'label': '768.87077.48.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918781
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cd1.b1', '24.a1.a1', '24.bn1.b1', '24.bo1.b1'], 'contains': ['96.h1.b1', '96.by1.a1', '96.bz1.b1', '96.ca1.b1', '96.ci1.a1', '96.cp1.b1', '96.cq1.b1', '96.df1.b1', '96.df1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 6, 448, 16], 'label': '768.87077.48.cd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918782
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ce1.a1', '24.b1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.by1.a1', '96.cb1.a1', '96.cb1.b1', '96.cj1.a1', '96.ck1.a1', '96.ct1.a1', '96.ct1.b1', '96.dg1.a1', '96.dg1.a2', '96.dg1.b1', '96.dg1.b2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 448, 16], 'label': '768.87077.48.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918783
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.j1.a1', '4.n1.a1'], 'contains': ['16.b1.a1', '16.o1.a1', '16.q1.a1', '16.bl1.a1', '16.bl1.b1', '24.p1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 384, 32, 16, 448], 'label': '768.87077.8.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918784
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cf1.a1', '24.c1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.by1.a1', '96.cc1.a1', '96.cc1.b1', '96.cm1.a1', '96.cn1.a1', '96.cu1.a1', '96.cu1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 448], 'label': '768.87077.48.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918785
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.a1', '24.k1.a1', '24.bk1.a1', '24.bn1.a1'], 'contains': ['96.bz1.a1', '96.cb1.a1', '96.cc1.b1', '96.cr1.a1', '96.cs1.b1', '96.cv1.a1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 70, 388], 'label': '768.87077.48.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918786
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.b1', '24.k1.a1', '24.bk1.b1', '24.bn1.a1'], 'contains': ['96.bz1.a1', '96.cb1.b1', '96.cc1.a1', '96.cr1.b1', '96.cs1.a1', '96.cv1.b1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 452], 'label': '768.87077.48.cg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918787
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.c1', '24.k1.a1', '24.bk1.a1', '24.bn1.b1'], 'contains': ['96.bz1.b1', '96.cb1.a1', '96.cc1.b1', '96.cr1.c1', '96.cs1.d1', '96.cv1.a1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 388], 'label': '768.87077.48.cg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918788
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.d1', '24.k1.a1', '24.bk1.b1', '24.bn1.b1'], 'contains': ['96.bz1.b1', '96.cb1.b1', '96.cc1.a1', '96.cr1.d1', '96.cs1.c1', '96.cv1.b1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 70, 452], 'label': '768.87077.48.cg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918789
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.a1', '24.k1.a1', '24.bl1.a1', '24.bn1.a1'], 'contains': ['96.ca1.a1', '96.cb1.a1', '96.cc1.a1', '96.cr1.a1', '96.cs1.a1', '96.cx1.a1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 6, 388], 'label': '768.87077.48.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918790
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.b1', '24.k1.a1', '24.bl1.b1', '24.bn1.a1'], 'contains': ['96.ca1.a1', '96.cb1.b1', '96.cc1.b1', '96.cr1.b1', '96.cs1.b1', '96.cx1.b1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390, 452], 'label': '768.87077.48.ch1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918791
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.c1', '24.k1.a1', '24.bl1.a1', '24.bn1.b1'], 'contains': ['96.ca1.b1', '96.cb1.a1', '96.cc1.a1', '96.cr1.c1', '96.cs1.c1', '96.cx1.a1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390, 388], 'label': '768.87077.48.ch1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918792
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.d1', '24.k1.a1', '24.bl1.b1', '24.bn1.b1'], 'contains': ['96.ca1.b1', '96.cb1.b1', '96.cc1.b1', '96.cr1.d1', '96.cs1.d1', '96.cx1.b1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 6, 452], 'label': '768.87077.48.ch1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918793
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.a1', '24.l1.a1', '24.bm1.a1', '24.bo1.a1'], 'contains': ['96.ca1.a1', '96.da1.a1', '96.da1.c1', '96.dh1.a1', '96.dh1.e1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 28, 16], 'label': '768.87077.48.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918794
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.j1.a1', '4.p1.a1'], 'contains': ['16.c1.a1', '16.n1.a1', '16.q1.a1', '16.bm1.a1', '16.bm1.b1', '16.bw1.a1', '16.cm1.a1', '16.cq1.a1', '24.q1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 400, 454, 64, 16], 'label': '768.87077.8.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918795
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.b1', '24.l1.a1', '24.bm1.d1', '24.bo1.a1'], 'contains': ['96.ca1.a1', '96.da1.b1', '96.da1.d1', '96.dh1.b1', '96.dh1.f1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 28, 16], 'label': '768.87077.48.ci1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918796
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.c1', '24.l1.a1', '24.bm1.b1', '24.bo1.b1'], 'contains': ['96.ca1.b1', '96.da1.a1', '96.da1.d1', '96.dh1.c1', '96.dh1.g1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 412, 16], 'label': '768.87077.48.ci1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918797
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.d1', '24.l1.a1', '24.bm1.c1', '24.bo1.b1'], 'contains': ['96.ca1.b1', '96.da1.b1', '96.da1.c1', '96.dh1.d1', '96.dh1.h1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 412, 16], 'label': '768.87077.48.ci1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918798
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cj1.a1', '24.d1.a1', '24.bk1.a1', '24.bl1.a1'], 'contains': ['96.e1.a1', '96.cd1.a1', '96.cg1.a1', '96.cr1.a1', '96.cr1.c1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 388, 384], 'label': '768.87077.48.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918799
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cj1.b1', '24.d1.a1', '24.bk1.b1', '24.bl1.b1'], 'contains': ['96.e1.b1', '96.cd1.a1', '96.cg1.a1', '96.cr1.b1', '96.cr1.d1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 452, 384], 'label': '768.87077.48.cj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918800
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ck1.a1', '24.e1.a1', '24.bk1.b1', '24.bl1.a1'], 'contains': ['96.g1.a1', '96.cd1.a1', '96.ce1.a1', '96.cs1.a1', '96.cs1.c1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 2, 384], 'label': '768.87077.48.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918801
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ck1.b1', '24.e1.a1', '24.bk1.a1', '24.bl1.b1'], 'contains': ['96.g1.b1', '96.cd1.a1', '96.ce1.a1', '96.cs1.b1', '96.cs1.d1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 66, 384], 'label': '768.87077.48.ck1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.ck1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ck1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918802
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cl1.a1', '24.g1.a1', '24.bk1.a1', '24.bk1.b1'], 'contains': ['96.d1.a1', '96.ce1.a1', '96.cg1.a1', '96.cw1.a1', '96.cw1.a2'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 454, 384], 'label': '768.87077.48.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918803
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cm1.a1', '24.q1.a1', '24.bp1.a1', '24.bp1.b1'], 'contains': ['96.d1.a1', '96.cf1.a1', '96.ch1.a1', '96.di1.a1', '96.di1.b1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 454, 16], 'label': '768.87077.48.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918804
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cn1.a1', '24.t1.a1', '24.bp1.a1', '24.br1.a1'], 'contains': ['96.e1.a1', '96.cf1.a1', '96.cy1.a1', '96.dj1.a1', '96.dj1.b1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 388, 384, 16], 'label': '768.87077.48.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '48.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918805
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.k1.a1', '4.q1.a1'], 'contains': ['16.c1.a1', '16.z1.a1', '16.cr1.a1', '16.cr1.b1', '16.cz1.a1', '24.r1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 390, 64, 384, 256], 'label': '768.87077.8.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918806
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cn1.b1', '24.t1.a1', '24.bp1.b1', '24.br1.b1'], 'contains': ['96.e1.b1', '96.cf1.a1', '96.cy1.b1', '96.dj1.c1', '96.dj1.d1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 452, 384, 16], 'label': '768.87077.48.cn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '48.cn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918807
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.co1.a1', '24.w1.a1', '24.bp1.a1', '24.br1.a1'], 'contains': ['96.e1.a1', '96.ch1.a1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 388], 'label': '768.87077.48.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '48.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918808
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.co1.b1', '24.w1.a1', '24.bp1.b1', '24.br1.b1'], 'contains': ['96.e1.b1', '96.ch1.a1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 452], 'label': '768.87077.48.co1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '48.co1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.co1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918809
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cp1.a1', '24.g1.a1', '24.bl1.a1', '24.bl1.b1', '24.bu1.a1', '24.bu1.b1', '24.bu1.c1', '24.bu1.d1'], 'contains': ['96.f1.a1', '96.ce1.a1', '96.cg1.a1', '96.cz1.a1', '96.cz1.a2'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 390, 384], 'label': '768.87077.48.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918810
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cq1.a1', '24.q1.a1', '24.br1.a1', '24.br1.b1'], 'contains': ['96.f1.a1', '96.cf1.a1', '96.ch1.a1', '96.dk1.a1', '96.dk1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 390, 16], 'label': '768.87077.48.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918811
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.a1', '24.h1.c1', '24.r1.a1', '24.bm1.a1', '24.bm1.b1', '24.bs1.a1', '24.bu1.a1', '24.bu1.b1'], 'contains': ['96.f1.a1', '96.da1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384], 'label': '768.87077.48.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918812
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.b1', '24.h1.d1', '24.r1.a1', '24.bm1.c1', '24.bm1.d1', '24.bs1.a1', '24.bu1.c1', '24.bu1.d1'], 'contains': ['96.f1.a1', '96.da1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 384], 'label': '768.87077.48.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918813
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.c1', '24.h1.a1', '24.r1.b1', '24.bm1.a1', '24.bm1.c1', '24.bs1.b1', '24.bu1.a1', '24.bu1.c1'], 'contains': ['96.f1.a1', '96.da1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 384], 'label': '768.87077.48.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918814
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.d1', '24.h1.b1', '24.r1.b1', '24.bm1.b1', '24.bm1.d1', '24.bs1.b1', '24.bu1.b1', '24.bu1.d1'], 'contains': ['96.f1.a1', '96.da1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [105, 384], 'label': '768.87077.48.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918815
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cs1.a1', '24.z1.a1', '24.bp1.b1', '24.br1.a1'], 'contains': ['96.g1.a1', '96.cf1.a1', '96.ch1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 2], 'label': '768.87077.48.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918816
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.k1.a1', '4.q1.a1'], 'contains': ['16.c1.a1', '16.z1.b1', '16.cr1.c1', '16.cr1.d1', '16.cz1.b1', '24.r1.b1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 16, 6, 64, 384, 256], 'label': '768.87077.8.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918817
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cs1.b1', '24.z1.a1', '24.bp1.a1', '24.br1.b1'], 'contains': ['96.g1.b1', '96.cf1.a1', '96.ch1.a1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 66], 'label': '768.87077.48.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918818
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ct1.a1', '24.bc1.a1', '24.bq1.b1', '24.bt1.a1'], 'contains': ['96.g1.a1', '96.db1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 384], 'label': '768.87077.48.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.o1.a1', 'old_label': '48.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918819
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ct1.b1', '24.bc1.b1', '24.bq1.a1', '24.bt1.b1'], 'contains': ['96.g1.b1', '96.db1.b1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9, 384], 'label': '768.87077.48.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.o1.b1', 'old_label': '48.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918820
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cu1.a1', '24.d1.a1', '24.bn1.a1', '24.bv1.a1'], 'contains': ['96.h1.a1', '96.cj1.a1', '96.cn1.a1', '96.cr1.a1', '96.cr1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 452, 448], 'label': '768.87077.48.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918821
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cu1.b1', '24.d1.a1', '24.bn1.b1', '24.bv1.b1'], 'contains': ['96.h1.b1', '96.cj1.a1', '96.cn1.a1', '96.cr1.c1', '96.cr1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 452, 448], 'label': '768.87077.48.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918822
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cv1.a1', '24.e1.a1', '24.bn1.a1', '24.bw1.a1'], 'contains': ['96.h1.a1', '96.ck1.a1', '96.cm1.a1', '96.cs1.a1', '96.cs1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 2, 448], 'label': '768.87077.48.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918823
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cv1.b1', '24.e1.a1', '24.bn1.b1', '24.bw1.b1'], 'contains': ['96.h1.b1', '96.ck1.a1', '96.cm1.a1', '96.cs1.c1', '96.cs1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 2, 448], 'label': '768.87077.48.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918824
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cw1.a1', '24.o1.a1', '24.bv1.a1'], 'contains': ['96.h1.a1', '96.cl1.a1', '96.co1.a1', '96.dl1.a1', '96.dl1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 418, 16], 'label': '768.87077.48.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918825
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cw1.b1', '24.o1.a1', '24.bv1.b1'], 'contains': ['96.h1.b1', '96.cl1.a1', '96.co1.a1', '96.dl1.c1', '96.dl1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [92, 418, 16], 'label': '768.87077.48.cw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.cw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918826
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cx1.a1', '24.f1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.ci1.a1', '96.cj1.a1', '96.cm1.a1', '96.cv1.a1', '96.cv1.b1', '96.cx1.a1', '96.cx1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452, 448], 'label': '768.87077.48.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918827
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': ['384.d1.a1', '384.d1.b1', '384.h1.a1', '384.g1.a1', '384.g1.b1', '384.l1.a1', '384.m1.a1', '384.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.g1.a1', '4.h1.a1', '4.i1.a1', '6.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 64, 384, 32, 452, 256, 16, 2], 'label': '768.87077.2.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.g1.a1', '4.h1.a1', '4.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918828
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.j1.a1', '4.p1.a1'], 'contains': ['16.c1.a1', '16.o1.a1', '16.p1.a1', '16.bn1.a1', '16.bn1.b1', '24.s1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 256, 384, 454, 16, 64], 'label': '768.87077.8.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918829
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cy1.a1', '24.g1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.ci1.a1', '96.ck1.a1', '96.cn1.a1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 448], 'label': '768.87077.48.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918830
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cz1.a1', '24.r1.a1', '24.bo1.a1', '24.bo1.b1'], 'contains': ['96.ci1.a1', '96.da1.a1', '96.da1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 448], 'label': '768.87077.48.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918831
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cz1.b1', '24.r1.b1', '24.bo1.a1', '24.bo1.b1'], 'contains': ['96.ci1.a1', '96.da1.c1', '96.da1.d1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 448], 'label': '768.87077.48.cz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.cz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918832
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.da1.a1', '24.t1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cj1.a1', '96.cl1.a1', '96.cy1.a1', '96.cy1.b1', '96.dm1.a1', '96.dm1.a2', '96.dm1.b1', '96.dm1.b2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 448, 16], 'label': '768.87077.48.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918833
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.db1.a1', '24.v1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cj1.a1', '96.co1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 452], 'label': '768.87077.48.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918834
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dc1.a1', '24.ba1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cl1.a1', '96.cn1.a1', '96.co1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [8, 418], 'label': '768.87077.48.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918835
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dc1.a2', '24.ba1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cl1.a1', '96.cn1.a1', '96.co1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [392, 418], 'label': '768.87077.48.dc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.dc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918836
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dd1.a1', '24.bc1.a1', '24.bw1.a1', '24.bw1.b1'], 'contains': ['96.cm1.a1', '96.db1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 448], 'label': '768.87077.48.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '48.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918837
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dd1.b1', '24.bc1.b1', '24.bw1.a1', '24.bw1.b1'], 'contains': ['96.cm1.a1', '96.db1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9, 448], 'label': '768.87077.48.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '48.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918838
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.a1', '24.be1.a1', '24.bk1.a1', '24.bn1.a1'], 'contains': ['96.cp1.a1', '96.cr1.a1', '96.cs1.b1', '96.ct1.a1', '96.cu1.b1', '96.cv1.a1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 454, 388], 'label': '768.87077.48.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918839
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.n1.a1', '4.p1.a1'], 'contains': ['16.e1.a1', '16.n1.a1', '16.o1.a1', '16.bc1.a1', '16.bc1.a2', '16.bq1.a1', '16.bq1.b1', '16.bq2.a1', '16.bq2.b1', '24.x1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 256, 64, 32, 384, 16], 'label': '768.87077.8.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918840
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.b1', '24.be1.a1', '24.bk1.b1', '24.bn1.a1'], 'contains': ['96.cp1.a1', '96.cr1.b1', '96.cs1.a1', '96.ct1.b1', '96.cu1.a1', '96.cv1.b1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70, 452], 'label': '768.87077.48.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918841
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.c1', '24.be1.a1', '24.bk1.a1', '24.bn1.b1'], 'contains': ['96.cp1.b1', '96.cr1.c1', '96.cs1.d1', '96.ct1.a1', '96.cu1.b1', '96.cv1.a1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70, 388], 'label': '768.87077.48.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918842
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.d1', '24.be1.a1', '24.bk1.b1', '24.bn1.b1'], 'contains': ['96.cp1.b1', '96.cr1.d1', '96.cs1.c1', '96.ct1.b1', '96.cu1.a1', '96.cv1.b1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 454, 452], 'label': '768.87077.48.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918843
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.a1', '24.be1.a1', '24.bl1.a1', '24.bn1.a1'], 'contains': ['96.cq1.a1', '96.cr1.a1', '96.cs1.a1', '96.ct1.a1', '96.cu1.a1', '96.cx1.a1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 390, 388], 'label': '768.87077.48.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918844
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.b1', '24.be1.a1', '24.bl1.b1', '24.bn1.a1'], 'contains': ['96.cq1.a1', '96.cr1.b1', '96.cs1.b1', '96.ct1.b1', '96.cu1.b1', '96.cx1.b1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6, 452], 'label': '768.87077.48.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918845
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.c1', '24.be1.a1', '24.bl1.a1', '24.bn1.b1'], 'contains': ['96.cq1.b1', '96.cr1.c1', '96.cs1.c1', '96.ct1.a1', '96.cu1.a1', '96.cx1.a1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6, 388], 'label': '768.87077.48.df1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918846
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.d1', '24.be1.a1', '24.bl1.b1', '24.bn1.b1'], 'contains': ['96.cq1.b1', '96.cr1.d1', '96.cs1.d1', '96.ct1.b1', '96.cu1.b1', '96.cx1.b1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 390, 452], 'label': '768.87077.48.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918847
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.a1', '24.bf1.a1', '24.bm1.b1', '24.bo1.a1'], 'contains': ['96.cq1.a1', '96.da1.a1', '96.da1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 28], 'label': '768.87077.48.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918848
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.b1', '24.bf1.a1', '24.bm1.c1', '24.bo1.a1'], 'contains': ['96.cq1.a1', '96.da1.b1', '96.da1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 28], 'label': '768.87077.48.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918849
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.c1', '24.bf1.a1', '24.bm1.a1', '24.bo1.b1'], 'contains': ['96.cq1.b1', '96.da1.a1', '96.da1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 412], 'label': '768.87077.48.dg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918850
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.n1.a1', '4.p1.a1'], 'contains': ['16.e1.a1', '16.p1.a1', '16.q1.a1', '16.by1.a1', '24.y1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 256, 384, 418, 16, 80], 'label': '768.87077.8.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918851
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.d1', '24.bf1.a1', '24.bm1.d1', '24.bo1.b1'], 'contains': ['96.cq1.b1', '96.da1.b1', '96.da1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 412], 'label': '768.87077.48.dg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918852
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.i1.a1', '32.j1.a1', '32.k1.a1', '32.l1.a1', '32.m1.a1', '32.n1.a1', '32.o1.a1', '32.p1.a1'], 'contains': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '192.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 16, 256], 'label': '768.87077.64.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'normal_contains': ['128.c1.a1', '128.b1.a1', '128.a1.a1', '192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918853
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['12.s1.a1', '12.s1.b1', '12.s1.c1', '12.s1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.q1.a1', '32.r1.a1', '32.s1.a1', '32.t1.a1', '32.t1.b1'], 'contains': ['128.a1.a1', '128.d1.a1', '192.b1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 256], 'label': '768.87077.64.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '192.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918854
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['12.s1.a1', '12.s1.b1', '12.s1.c1', '12.s1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.q1.b1', '32.r1.b1', '32.s1.b1', '32.t1.c1', '32.t1.d1'], 'contains': ['128.a1.a1', '128.d1.b1', '192.b1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26, 64, 256], 'label': '768.87077.64.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.b1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '192.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918855
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.d1.a1', '32.e1.a1', '32.e1.b1', '32.f1.a1', '32.g1.a1', '32.g1.b1', '32.bx1.a1', '32.cd1.a1', '32.ce1.a1', '32.cf1.a1', '32.cg1.a1', '32.ch1.a1'], 'contains': ['128.c1.a1', '128.e1.a1', '192.c1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384, 16, 256], 'label': '768.87077.64.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.c1.a1', 'normal_contained_in': ['32.b1.a1', '32.e1.b1', '32.e1.a1', '32.d1.a1', '32.f1.a1', '32.g1.a1', '32.g1.b1'], 'normal_contains': ['128.c1.a1', '192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918856
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.h1.a1', '32.h1.b1', '32.by1.a1', '32.ci1.a1', '32.cj1.a1', '32.ck1.a1', '32.cl1.a1', '32.cm1.a1', '32.cn1.a1', '32.co1.a1'], 'contains': ['128.c1.a1', '128.f1.a1', '192.d1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [448, 16, 256], 'label': '768.87077.64.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.d1.a1', 'normal_contained_in': ['32.b1.a1', '32.h1.b1', '32.h1.a1'], 'normal_contains': ['128.c1.a1', '192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918857
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.q1.a1', '32.q1.b1', '32.u1.a1', '32.v1.a1', '32.w1.a1', '32.x1.a1', '32.y1.a1', '32.y1.b1', '32.y2.a1', '32.z1.a1', '32.z1.b1', '32.z2.a1', '32.ba1.a1', '32.bb1.a1'], 'contains': ['128.a1.a1', '128.e1.a1', '128.f1.a1', '192.e1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64, 384, 256], 'label': '768.87077.64.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918858
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '32.r1.a1', '32.r1.b1', '32.u1.a1', '32.bc1.a1'], 'contains': ['128.a1.a1', '128.g1.a1', '128.g1.b1', '192.f1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64, 256], 'label': '768.87077.64.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918859
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.q1.a1', '32.q1.b1', '32.bc1.a1', '32.bd1.a1', '32.bd1.a2', '32.be1.a1', '32.be1.b1', '32.be1.c1', '32.be1.d1'], 'contains': ['128.a1.a1', '128.h1.a1', '192.g1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 64, 256], 'label': '768.87077.64.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918860
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '32.r1.a1', '32.r1.b1', '32.v1.a1', '32.bc1.a1', '32.bf1.a1', '32.bf1.b1'], 'contains': ['128.a1.a1', '128.i1.a1', '128.k1.a1', '192.h1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 64, 256], 'label': '768.87077.64.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918861
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.l1.a1', '4.n1.a1'], 'contains': ['16.f1.a1', '16.n1.a1', '16.q1.a1', '16.cs1.a1', '16.cs1.b1', '24.z1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 2, 64, 400], 'label': '768.87077.8.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918862
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '32.s1.a1', '32.s1.b1', '32.w1.a1', '32.bd1.a1', '32.bd1.a2', '32.bg1.a1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.bh1.a1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2'], 'contains': ['128.a1.a1', '128.j1.a1', '128.j1.b1', '192.i1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64, 256], 'label': '768.87077.64.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918863
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '32.s1.a1', '32.s1.b1', '32.x1.a1', '32.bd1.a1', '32.bd1.a2', '32.bi1.a1', '32.bi1.a2', '32.bi1.b1', '32.bi1.b2', '32.bi1.c1', '32.bi1.c2', '32.bi1.d1', '32.bi1.d2'], 'contains': ['128.a1.a1', '128.l1.a1', '192.j1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64, 256], 'label': '768.87077.64.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918864
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.t1.a1', '32.t1.c1', '32.y1.a1', '32.y2.a1', '32.be1.a1', '32.be1.b1', '32.bg1.a1', '32.bg2.a1', '32.bg2.a2', '32.bi1.a1', '32.bi1.a2', '32.bi1.b1', '32.bi1.b2'], 'contains': ['128.a1.a1', '128.m1.a1', '192.k1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 64, 256], 'label': '768.87077.64.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918865
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.t1.b1', '32.t1.d1', '32.y1.b1', '32.y2.a1', '32.be1.c1', '32.be1.d1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.bi1.c1', '32.bi1.c2', '32.bi1.d1', '32.bi1.d2'], 'contains': ['128.a1.a1', '128.m1.b1', '192.k1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 64, 256], 'label': '768.87077.64.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918866
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '32.t1.a1', '32.t1.d1', '32.z1.a1', '32.z2.a1', '32.be1.a1', '32.be1.c1', '32.bh1.a1', '32.bh2.a1', '32.bh2.a2', '32.bi1.a1', '32.bi1.a2', '32.bi1.c1', '32.bi1.c2'], 'contains': ['128.a1.a1', '192.l1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 64, 256], 'label': '768.87077.64.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918867
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '32.t1.b1', '32.t1.c1', '32.z1.b1', '32.z2.a1', '32.be1.b1', '32.be1.d1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2', '32.bi1.b1', '32.bi1.b2', '32.bi1.d1', '32.bi1.d2'], 'contains': ['128.a1.a1', '192.l1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 64, 256], 'label': '768.87077.64.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918868
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.bj1.a1', '32.bk1.a1', '32.bk1.a2', '32.bl1.a1'], 'contains': ['128.b1.a1', '128.d1.a1', '128.d1.b1', '192.m1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 80, 256], 'label': '768.87077.64.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918869
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.bj1.a1', '32.bm1.a1', '32.bn1.a1', '32.bo1.a1', '32.bp1.a1', '32.bq1.a1', '32.bq2.a1', '32.br1.a1', '32.bs1.a1'], 'contains': ['128.b1.a1', '128.e1.a1', '128.f1.a1', '192.n1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [80, 384, 256], 'label': '768.87077.64.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918870
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '32.bk1.a1', '32.bk1.a2', '32.bm1.a1', '32.bt1.a1'], 'contains': ['128.b1.a1', '128.g1.a1', '128.g1.b1', '192.o1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80, 256], 'label': '768.87077.64.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918871
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.bj1.a1', '32.bt1.a1', '32.bu1.a1'], 'contains': ['128.b1.a1', '128.h1.a1', '192.p1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 80, 256], 'label': '768.87077.64.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '64.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918872
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.l1.a1', '4.p1.a1'], 'contains': ['16.g1.a1', '16.n1.a1', '16.p1.a1', '16.dc1.a1', '16.dc1.a2', '24.ba1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 256, 16, 418, 384, 448], 'label': '768.87077.8.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918873
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '32.bk1.a1', '32.bk1.a2', '32.bn1.a1', '32.bt1.a1', '32.bv1.a1', '32.bv1.b1'], 'contains': ['128.b1.a1', '128.i1.a1', '128.k1.a1', '192.q1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 80, 256], 'label': '768.87077.64.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918874
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '32.bl1.a1', '32.bo1.a1', '32.bu1.a1', '32.bw1.a1', '32.bw1.a2'], 'contains': ['128.b1.a1', '128.j1.a1', '128.j1.b1', '192.r1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80, 256], 'label': '768.87077.64.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918875
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '32.bl1.a1', '32.bp1.a1', '32.bu1.a1'], 'contains': ['128.b1.a1', '128.l1.a1', '192.s1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80, 256], 'label': '768.87077.64.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '64.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918876
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.bq1.a1', '32.bq2.a1', '32.bw1.a1', '32.bw1.a2'], 'contains': ['128.b1.a1', '128.m1.a1', '128.m1.b1', '192.t1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 80, 256], 'label': '768.87077.64.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918877
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.bx1.a1', '32.by1.a1', '32.bz1.a1', '32.bz1.b1', '32.ca1.a1', '32.ca1.b1', '32.cb1.a1', '32.cb1.b1', '32.cc1.a1', '32.cc1.b1'], 'contains': ['128.c1.a1', '128.d1.a1', '128.d1.b1', '192.u1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 16, 256], 'label': '768.87077.64.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918878
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '32.i1.a1', '32.bz1.a1', '32.ca1.a1', '32.cd1.a1', '32.cp1.a1', '32.cq1.a1', '32.cr1.a1', '32.cr1.b1', '32.cs1.a1', '32.cs1.b1'], 'contains': ['128.c1.a1', '128.g1.a1', '192.v1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 256], 'label': '768.87077.64.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918879
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.b1', '32.i1.a1', '32.bz1.b1', '32.ca1.b1', '32.cd1.a1', '32.cp1.b1', '32.cq1.b1', '32.cr1.c1', '32.cr1.d1', '32.cs1.c1', '32.cs1.d1'], 'contains': ['128.c1.a1', '128.g1.b1', '192.v1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 16, 256], 'label': '768.87077.64.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918880
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.bx1.a1', '32.by1.a1', '32.cp1.a1', '32.cp1.b1', '32.cq1.a1', '32.cq1.b1', '32.ct1.a1', '32.ct1.b1', '32.cu1.a1', '32.cu1.b1'], 'contains': ['128.c1.a1', '128.h1.a1', '192.w1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 16, 256], 'label': '768.87077.64.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918881
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.j1.a1', '32.bz1.a1', '32.bz1.b1', '32.ci1.a1', '32.cp1.a1', '32.cp1.b1', '32.cv1.a1', '32.cv1.b1', '32.cw1.a1', '32.cw1.a2'], 'contains': ['128.c1.a1', '128.i1.a1', '192.x1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 16, 256], 'label': '768.87077.64.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918882
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.k1.a1', '32.cb1.a1', '32.cj1.a1', '32.cr1.a1', '32.cr1.c1', '32.ct1.a1', '32.cv1.a1', '32.cx1.a1', '32.cy1.a1'], 'contains': ['128.c1.a1', '128.j1.a1', '192.y1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [388, 16, 256], 'label': '768.87077.64.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918883
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.l1.a1', '4.n1.a1'], 'contains': ['16.f1.a1', '16.o1.a1', '16.p1.a1', '24.bb1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 256, 16, 2, 64, 384], 'label': '768.87077.8.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918884
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.b1', '32.k1.a1', '32.cb1.b1', '32.cj1.a1', '32.cr1.b1', '32.cr1.d1', '32.ct1.b1', '32.cv1.b1', '32.cx1.b1', '32.cy1.b1'], 'contains': ['128.c1.a1', '128.j1.b1', '192.y1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 16, 256], 'label': '768.87077.64.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918885
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '32.j1.a1', '32.ca1.a1', '32.ca1.b1', '32.ci1.a1', '32.cq1.a1', '32.cq1.b1', '32.cx1.a1', '32.cx1.b1', '32.cz1.a1', '32.cz1.a2', '32.da1.a1', '32.da1.b1', '32.da1.c1', '32.da1.d1'], 'contains': ['128.c1.a1', '128.k1.a1', '192.z1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [390, 16, 256], 'label': '768.87077.64.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918886
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '32.cb1.a1', '32.cb1.b1', '32.ce1.a1', '32.ck1.a1', '32.cs1.a1', '32.cs1.b1', '32.cs1.c1', '32.cs1.d1', '32.ct1.a1', '32.ct1.b1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2'], 'contains': ['128.c1.a1', '128.l1.a1', '192.ba1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 16, 256], 'label': '768.87077.64.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918887
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.cf1.a1', '32.cl1.a1', '32.cy1.a1', '32.cy1.b1'], 'contains': ['128.c1.a1', '128.m1.a1', '128.m1.b1', '192.bb1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 16, 256], 'label': '768.87077.64.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918888
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.g1.a1', '32.n1.a1', '32.cc1.a1', '32.cm1.a1', '32.cs1.a1', '32.cs1.c1', '32.cu1.a1', '32.cv1.b1', '32.cx1.a1', '32.db1.a1'], 'contains': ['128.c1.a1', '192.bc1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 256, 16], 'label': '768.87077.64.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '64.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918889
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.g1.b1', '32.n1.a1', '32.cc1.b1', '32.cm1.a1', '32.cs1.b1', '32.cs1.d1', '32.cu1.b1', '32.cv1.a1', '32.cx1.b1', '32.db1.b1'], 'contains': ['128.c1.a1', '192.bc1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [66, 256, 16], 'label': '768.87077.64.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '64.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918890
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.a1', '32.cc1.a1', '32.cc1.b1', '32.cg1.a1', '32.cn1.a1', '32.cr1.a1', '32.cr1.b1', '32.cr1.c1', '32.cr1.d1', '32.cu1.a1', '32.cu1.b1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2'], 'contains': ['128.c1.a1', '192.bd1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 256, 16], 'label': '768.87077.64.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918891
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.bj1.a1', '32.bx1.a1', '32.dc1.a1', '32.dd1.a1', '32.de1.a1', '32.de1.b1'], 'contains': ['128.d1.a1', '128.e1.a1', '128.h1.a1', '192.be1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 384, 256], 'label': '768.87077.64.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918892
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.b1', '32.bj1.a1', '32.bx1.a1', '32.dc1.b1', '32.dd1.b1', '32.de1.c1', '32.de1.d1'], 'contains': ['128.d1.b1', '128.e1.a1', '128.h1.a1', '192.be1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 384, 256], 'label': '768.87077.64.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918893
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.bj1.a1', '32.by1.a1', '32.df1.a1', '32.df1.b1', '32.dg1.a1', '32.dg1.a2'], 'contains': ['128.d1.a1', '128.f1.a1', '128.h1.a1', '192.bf1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 448, 256], 'label': '768.87077.64.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918894
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '4.m1.a1', '4.o1.a1'], 'contains': ['16.f1.a1', '16.bd1.a1', '16.ct1.a1', '16.dd1.a1', '24.bc1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 256, 16, 64, 384, 2], 'label': '768.87077.8.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918895
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.b1', '32.bj1.a1', '32.by1.a1', '32.df1.c1', '32.df1.d1', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.d1.b1', '128.f1.a1', '128.h1.a1', '192.bf1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 448, 256], 'label': '768.87077.64.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918896
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a1', '32.bz1.a1', '32.dc1.a1', '32.df1.a1'], 'contains': ['128.d1.a1', '128.g1.a1', '128.i1.a1', '192.bg1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454, 256], 'label': '768.87077.64.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918897
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a2', '32.bz1.b1', '32.dc1.a1', '32.df1.b1'], 'contains': ['128.d1.a1', '128.g1.b1', '128.i1.a1', '192.bg1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [76, 70, 256], 'label': '768.87077.64.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918898
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a2', '32.bz1.a1', '32.dc1.b1', '32.df1.c1'], 'contains': ['128.d1.b1', '128.g1.a1', '128.i1.a1', '192.bg1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 454, 256], 'label': '768.87077.64.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918899
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a1', '32.bz1.b1', '32.dc1.b1', '32.df1.d1'], 'contains': ['128.d1.b1', '128.g1.b1', '128.i1.a1', '192.bg1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 70, 256], 'label': '768.87077.64.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918900
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a2', '32.ca1.a1', '32.dd1.a1', '32.df1.a1', '32.dh1.a1', '32.dh1.b1'], 'contains': ['128.d1.a1', '128.g1.a1', '128.k1.a1', '192.bh1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [12, 6, 256], 'label': '768.87077.64.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918901
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a1', '32.ca1.b1', '32.dd1.a1', '32.df1.b1', '32.dh1.c1', '32.dh1.d1'], 'contains': ['128.d1.a1', '128.g1.b1', '128.k1.a1', '192.bh1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [396, 390, 256], 'label': '768.87077.64.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918902
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a1', '32.ca1.a1', '32.dd1.b1', '32.df1.c1', '32.dh1.e1', '32.dh1.f1'], 'contains': ['128.d1.b1', '128.g1.a1', '128.k1.a1', '192.bh1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [28, 6, 256], 'label': '768.87077.64.bh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918903
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a2', '32.ca1.b1', '32.dd1.b1', '32.df1.d1', '32.dh1.g1', '32.dh1.h1'], 'contains': ['128.d1.b1', '128.g1.b1', '128.k1.a1', '192.bh1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [412, 390, 256], 'label': '768.87077.64.bh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918904
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '32.bl1.a1', '32.cb1.a1', '32.de1.a1', '32.dg1.a1', '32.dg1.a2'], 'contains': ['128.d1.a1', '128.j1.a1', '128.l1.a1', '192.bi1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388, 256], 'label': '768.87077.64.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918905
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '4.m1.a1', '4.o1.a1'], 'contains': ['16.f1.a1', '16.bd1.b1', '16.ct1.b1', '16.dd1.b1', '24.bc1.b1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 256, 16, 64, 384, 82], 'label': '768.87077.8.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918906
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '32.bl1.a1', '32.cb1.b1', '32.de1.b1', '32.dg1.a1', '32.dg1.a2'], 'contains': ['128.d1.a1', '128.j1.b1', '128.l1.a1', '192.bi1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 256], 'label': '768.87077.64.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918907
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.b1', '32.bl1.a1', '32.cb1.a1', '32.de1.c1', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.d1.b1', '128.j1.a1', '128.l1.a1', '192.bi1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388, 256], 'label': '768.87077.64.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918908
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.b1', '32.bl1.a1', '32.cb1.b1', '32.de1.d1', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.d1.b1', '128.j1.b1', '128.l1.a1', '192.bi1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 256], 'label': '768.87077.64.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918909
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.u1.a1', '32.bm1.a1', '32.cd1.a1', '32.dc1.a1', '32.dc1.b1', '32.dd1.a1', '32.dd1.b1'], 'contains': ['128.e1.a1', '128.g1.a1', '128.g1.b1', '192.bj1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 384, 256], 'label': '768.87077.64.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918910
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.v1.a1', '32.bn1.a1', '32.dc1.a1', '32.dc1.b1', '32.di1.a1', '32.di1.b1'], 'contains': ['128.e1.a1', '128.i1.a1', '192.bk1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 384, 256], 'label': '768.87077.64.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918911
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.w1.a1', '32.bo1.a1', '32.de1.a1', '32.de1.c1', '32.dj1.a1', '32.dj1.b1'], 'contains': ['128.e1.a1', '128.j1.a1', '192.bl1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388, 384, 256], 'label': '768.87077.64.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918912
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.b1', '32.w1.a1', '32.bo1.a1', '32.de1.b1', '32.de1.d1', '32.dj1.c1', '32.dj1.d1'], 'contains': ['128.e1.a1', '128.j1.b1', '192.bl1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 384, 256], 'label': '768.87077.64.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918913
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '32.v1.a1', '32.bn1.a1', '32.dd1.a1', '32.dd1.b1', '32.dk1.a1', '32.dk1.b1'], 'contains': ['128.e1.a1', '128.k1.a1', '192.bm1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 384, 256], 'label': '768.87077.64.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918914
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '32.bp1.a1', '32.ce1.a1', '32.de1.a1', '32.de1.b1', '32.de1.c1', '32.de1.d1'], 'contains': ['128.e1.a1', '128.l1.a1', '192.bn1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 384, 256], 'label': '768.87077.64.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918915
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '32.bq2.a1', '32.cf1.a1', '32.di1.a1', '32.dj1.b1', '32.dj1.d1', '32.dk1.a1'], 'contains': ['128.e1.a1', '128.m1.a1', '192.bo1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 384, 256], 'label': '768.87077.64.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '64.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918916
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.l1.a1', '4.p1.a1'], 'contains': ['16.g1.a1', '16.o1.a1', '16.q1.a1', '24.bd1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 256, 16, 32, 448, 384], 'label': '768.87077.8.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918917
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.b1', '32.bq2.a1', '32.cf1.a1', '32.di1.b1', '32.dj1.a1', '32.dj1.c1', '32.dk1.b1'], 'contains': ['128.e1.a1', '128.m1.b1', '192.bo1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 384, 256], 'label': '768.87077.64.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '64.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918918
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y2.a1', '32.bq1.a1', '32.cf1.a1', '32.dj1.a1', '32.dj1.b1', '32.dj1.c1', '32.dj1.d1'], 'contains': ['128.e1.a1', '128.m1.a1', '128.m1.b1', '192.bo2.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 400, 256], 'label': '768.87077.64.bo2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bo2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bo2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918919
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bb1.a1', '32.bs1.a1', '32.ch1.a1', '32.di1.a1', '32.di1.b1', '32.dk1.a1', '32.dk1.b1'], 'contains': ['128.e1.a1', '192.bp1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 400, 256], 'label': '768.87077.64.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '64.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918920
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '32.u1.a1', '32.bm1.a1', '32.df1.a1', '32.df1.c1', '32.dl1.a1', '32.dl1.b1'], 'contains': ['128.f1.a1', '128.g1.a1', '192.bq1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 448, 256], 'label': '768.87077.64.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918921
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.b1', '32.u1.a1', '32.bm1.a1', '32.df1.b1', '32.df1.d1', '32.dl1.c1', '32.dl1.d1'], 'contains': ['128.f1.a1', '128.g1.b1', '192.bq1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 448, 256], 'label': '768.87077.64.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918922
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.v1.a1', '32.bn1.a1', '32.ci1.a1', '32.df1.a1', '32.df1.b1', '32.df1.c1', '32.df1.d1'], 'contains': ['128.f1.a1', '128.i1.a1', '128.k1.a1', '192.br1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [454, 448, 256], 'label': '768.87077.64.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918923
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '32.bo1.a1', '32.cj1.a1', '32.dg1.a1', '32.dg1.b1', '32.dm1.a1', '32.dm1.b1'], 'contains': ['128.f1.a1', '128.j1.a1', '128.j1.b1', '192.bs1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 448, 256], 'label': '768.87077.64.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918924
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '32.bo1.a1', '32.cj1.a1', '32.dg1.a2', '32.dg1.b2', '32.dm1.a2', '32.dm1.b2'], 'contains': ['128.f1.a1', '128.j1.a1', '128.j1.b1', '192.bs1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 464, 256], 'label': '768.87077.64.bs1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bs1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bs1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918925
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '32.bp1.a1', '32.ck1.a1', '32.dg1.a1', '32.dg1.a2', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.f1.a1', '128.l1.a1', '192.bt1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 448, 256], 'label': '768.87077.64.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918926
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '32.bq1.a1', '32.cl1.a1', '32.dl1.a1', '32.dl1.c1', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.f1.a1', '128.m1.a1', '192.bu1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 448, 256], 'label': '768.87077.64.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '64.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918927
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.r1.a1', '16.s1.a1', '16.t1.a1', '16.u1.a1', '16.w1.a1', '16.x1.a1', '16.y1.a1', '16.de1.a1', '16.de1.b1', '16.de1.c1', '16.de1.d1', '16.df1.a1', '16.df1.b1', '16.df1.c1', '16.df1.d1', '24.be1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 256, 2, 452, 64], 'label': '768.87077.8.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918928
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.b1', '32.bq1.a1', '32.cl1.a1', '32.dl1.b1', '32.dl1.d1', '32.dm1.a1', '32.dm1.a2'], 'contains': ['128.f1.a1', '128.m1.b1', '192.bu1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 448, 256], 'label': '768.87077.64.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '64.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918929
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y2.a1', '32.bq2.a1', '32.cl1.a1', '32.dm1.a1', '32.dm1.a2', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.f1.a1', '128.m1.a1', '128.m1.b1', '192.bu2.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 464, 256], 'label': '768.87077.64.bu2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bu2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918930
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ba1.a1', '32.br1.a1', '32.co1.a1', '32.dl1.a1', '32.dl1.b1', '32.dl1.c1', '32.dl1.d1'], 'contains': ['128.f1.a1', '192.bv1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [418, 464, 256], 'label': '768.87077.64.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '64.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918931
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cp1.a1', '32.dc1.a1', '32.dc1.b1', '32.df1.a1', '32.df1.c1'], 'contains': ['128.g1.a1', '128.h1.a1', '128.i1.a1', '192.bw1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 70, 256], 'label': '768.87077.64.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918932
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cp1.b1', '32.dc1.a1', '32.dc1.b1', '32.df1.b1', '32.df1.d1'], 'contains': ['128.g1.b1', '128.h1.a1', '128.i1.a1', '192.bw1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 256], 'label': '768.87077.64.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918933
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cq1.a1', '32.dd1.a1', '32.dd1.b1', '32.df1.a1', '32.df1.c1'], 'contains': ['128.g1.a1', '128.h1.a1', '128.k1.a1', '192.bx1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [28, 390, 256], 'label': '768.87077.64.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918934
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cq1.b1', '32.dd1.a1', '32.dd1.b1', '32.df1.b1', '32.df1.d1'], 'contains': ['128.g1.b1', '128.h1.a1', '128.k1.a1', '192.bx1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 6, 256], 'label': '768.87077.64.bx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918935
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a1', '32.bu1.a1', '32.ct1.a1', '32.de1.a1', '32.de1.c1', '32.dg1.a2', '32.dg1.b1'], 'contains': ['128.h1.a1', '128.j1.a1', '128.l1.a1', '192.by1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 388, 256], 'label': '768.87077.64.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918936
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a2', '32.bu1.a1', '32.ct1.a1', '32.de1.a1', '32.de1.c1', '32.dg1.a1', '32.dg1.b2'], 'contains': ['128.h1.a1', '128.j1.a1', '128.l1.a1', '192.by1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 388, 256], 'label': '768.87077.64.by1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918937
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a1', '32.bu1.a1', '32.ct1.b1', '32.de1.b1', '32.de1.d1', '32.dg1.a1', '32.dg1.b2'], 'contains': ['128.h1.a1', '128.j1.b1', '128.l1.a1', '192.by1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452, 256], 'label': '768.87077.64.by1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918938
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': ['384.d1.a1', '384.d1.b1', '384.h1.a1', '384.g1.b1', '384.g1.a1', '384.l1.a1', '384.m1.a1', '384.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.g1.b1', '4.h1.a1', '4.i1.b1', '6.e1.b1'], 'core': '2.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 64, 384, 32, 20, 256, 16, 82], 'label': '768.87077.2.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.g1.b1', '4.h1.a1', '4.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918939
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.r1.a1', '16.z1.a1', '16.z1.b1', '16.dg1.a1', '16.dg1.b1', '16.dg1.c1', '16.dg1.d1', '24.bf1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 390, 92, 64, 256], 'label': '768.87077.8.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918940
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a2', '32.bu1.a1', '32.ct1.b1', '32.de1.b1', '32.de1.d1', '32.dg1.a2', '32.dg1.b1'], 'contains': ['128.h1.a1', '128.j1.b1', '128.l1.a1', '192.by1.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 452, 256], 'label': '768.87077.64.by1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918941
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.a1', '32.bw1.a2', '32.cy1.a1', '32.dj1.b1', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.j1.a1', '128.m1.a1', '192.bz1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 404, 256], 'label': '768.87077.64.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918942
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.b1', '32.bw1.a2', '32.cy1.a1', '32.dj1.a1', '32.dm1.a1', '32.dm1.a2'], 'contains': ['128.j1.a1', '128.m1.b1', '192.bz1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 404, 256], 'label': '768.87077.64.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918943
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.a1', '32.bw1.a1', '32.cy1.b1', '32.dj1.d1', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.j1.b1', '128.m1.a1', '192.bz1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 468, 256], 'label': '768.87077.64.bz1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918944
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.b1', '32.bw1.a1', '32.cy1.b1', '32.dj1.c1', '32.dm1.a1', '32.dm1.a2'], 'contains': ['128.j1.b1', '128.m1.b1', '192.bz1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 468, 256], 'label': '768.87077.64.bz1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918945
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a1', '32.bw1.a1', '32.cy1.a1', '32.dj1.a1', '32.dj1.b1', '32.dm1.a1', '32.dm1.b2'], 'contains': ['128.j1.a1', '128.m1.a1', '128.m1.b1', '192.bz2.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 388, 256], 'label': '768.87077.64.bz2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918946
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a2', '32.bw1.a1', '32.cy1.a1', '32.dj1.a1', '32.dj1.b1', '32.dm1.a2', '32.dm1.b1'], 'contains': ['128.j1.a1', '128.m1.a1', '128.m1.b1', '192.bz2.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 388, 256], 'label': '768.87077.64.bz2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918947
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a1', '32.bw1.a2', '32.cy1.b1', '32.dj1.c1', '32.dj1.d1', '32.dm1.a2', '32.dm1.b1'], 'contains': ['128.j1.b1', '128.m1.a1', '128.m1.b1', '192.bz2.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 256], 'label': '768.87077.64.bz2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918948
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a2', '32.bw1.a2', '32.cy1.b1', '32.dj1.c1', '32.dj1.d1', '32.dm1.a1', '32.dm1.b2'], 'contains': ['128.j1.b1', '128.m1.a1', '128.m1.b1', '192.bz2.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 256], 'label': '768.87077.64.bz2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918949
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.a1', '32.bv1.a1', '32.da1.a1', '32.dh1.a1', '32.dh1.c1', '32.dh1.e1', '32.dh1.g1'], 'contains': ['128.k1.a1', '192.ca1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 256, 390], 'label': '768.87077.64.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918950
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.u1.a1', '16.v1.a1', '16.ba1.a1', '16.bb1.a1', '16.bc1.a1', '16.bc1.a2', '16.br1.a1', '16.br1.a2', '16.br1.b1', '16.br1.b2', '16.br2.a1', '16.br2.a2', '16.br2.b1', '16.br2.b2', '24.bg1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 64, 32, 452, 16], 'label': '768.87077.8.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918951
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.a1', '32.bv1.a1', '32.da1.b1', '32.dh1.b1', '32.dh1.d1', '32.dh1.f1', '32.dh1.h1'], 'contains': ['128.k1.a1', '192.ca1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 256, 6], 'label': '768.87077.64.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918952
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.b1', '32.bv1.b1', '32.da1.c1', '32.dh1.a1', '32.dh1.d1', '32.dh1.e1', '32.dh1.h1'], 'contains': ['128.k1.a1', '192.ca1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 256, 6], 'label': '768.87077.64.ca1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918953
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.b1', '32.bv1.b1', '32.da1.d1', '32.dh1.b1', '32.dh1.c1', '32.dh1.f1', '32.dh1.g1'], 'contains': ['128.k1.a1', '192.ca1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [105, 256, 6], 'label': '768.87077.64.ca1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918954
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.j1.a1', '48.k1.a1', '48.l1.a1', '48.m1.a1'], 'contains': ['192.a1.a1', '192.b1.a1', '192.b1.b1', '192.m1.a1', '192.u1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 16], 'label': '768.87077.96.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '192.b1.a1', '192.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918955
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.d1.a1', '48.e1.a1', '48.f1.a1', '48.g1.a1', '48.n1.a1', '48.o1.a1', '48.p1.a1', '48.q1.a1'], 'contains': ['192.a1.a1', '192.c1.a1', '192.d1.a1', '192.e1.a1', '192.n1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 384, 16], 'label': '768.87077.96.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.a1.a1', '48.d1.a1', '48.c1.a1', '48.b1.a1', '48.e1.a1', '48.f1.a1', '48.g1.a1'], 'normal_contains': ['192.a1.a1', '192.d1.a1', '192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918956
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.a1.a1', '48.r1.a1', '48.u1.a1', '48.v1.a1', '48.w1.a1'], 'contains': ['192.a1.a1', '192.g1.a1', '192.p1.a1', '192.w1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [394, 64, 16], 'label': '768.87077.96.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918975
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '48.a1.a1', '48.be1.a1', '48.bf1.a1', '48.bg1.a1', '48.bg1.b1', '48.bg2.a1', '48.bh1.a1'], 'contains': ['192.b1.a1', '192.e1.a1', '192.g1.a1', '192.be1.a1', '192.bf1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 64, 384], 'label': '768.87077.96.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918957
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '48.c1.a1', '48.h1.a1', '48.h1.b1', '48.bz1.a1', '48.cl1.a1', '48.cm1.a1'], 'contains': ['192.c1.a1', '192.x1.a1', '192.bk1.a1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 384, 16], 'label': '768.87077.96.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': ['32.d1.a1', '48.c1.a1', '48.h1.b1', '48.h1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918958
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '48.d1.a1', '48.h1.a1', '48.i1.a1', '48.cb1.a1', '48.cj1.a1', '48.cn1.a1', '48.co1.a1'], 'contains': ['192.c1.a1', '192.y1.a1', '192.bl1.a1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [388, 384, 16], 'label': '768.87077.96.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': ['32.e1.a1', '48.d1.a1', '48.h1.a1', '48.i1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918959
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.b1', '48.d1.a1', '48.h1.b1', '48.i1.b1', '48.cb1.b1', '48.cj1.b1', '48.cn1.b1', '48.co1.b1'], 'contains': ['192.c1.a1', '192.y1.b1', '192.bl1.b1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [452, 384, 16], 'label': '768.87077.96.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': ['32.e1.b1', '48.d1.a1', '48.h1.b1', '48.i1.b1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918960
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '48.c1.a1', '48.i1.a1', '48.i1.b1', '48.ca1.a1', '48.cp1.a1', '48.cq1.a1', '48.cr1.a1', '48.cr1.b1', '48.cr1.c1', '48.cr1.d1'], 'contains': ['192.c1.a1', '192.z1.a1', '192.bm1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [390, 384, 16], 'label': '768.87077.96.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': ['32.f1.a1', '48.c1.a1', '48.i1.b1', '48.i1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918961
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1'], 'contains': ['16.w1.a1', '16.bd1.a1', '16.bd1.b1', '24.bh1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 392, 2, 80], 'label': '768.87077.8.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '8.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918962
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1.a1', '48.f1.a1', '48.h1.b1', '48.i1.a1', '48.cc1.a1', '48.ck1.a1', '48.cs1.a1', '48.ct1.a1'], 'contains': ['192.c1.a1', '192.bc1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 384], 'label': '768.87077.96.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.a1', 'normal_contained_in': ['32.g1.a1', '48.f1.a1', '48.h1.b1', '48.i1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918963
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1.b1', '48.f1.a1', '48.h1.a1', '48.i1.b1', '48.cc1.b1', '48.ck1.b1', '48.cs1.b1', '48.ct1.b1'], 'contains': ['192.c1.a1', '192.bc1.b1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 384], 'label': '768.87077.96.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.b1', 'normal_contained_in': ['32.g1.b1', '48.f1.a1', '48.h1.a1', '48.i1.b1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918964
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '48.b1.a1', '48.cd1.a1', '48.cu1.a1', '48.cv1.a1', '48.cw1.a1'], 'contains': ['192.d1.a1', '192.v1.a1', '192.bq1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 448, 16], 'label': '768.87077.96.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': ['32.h1.a1', '48.b1.a1'], 'normal_contains': ['192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918965
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1.b1', '48.b1.a1', '48.cd1.b1', '48.cu1.b1', '48.cv1.b1', '48.cw1.b1'], 'contains': ['192.d1.a1', '192.v1.b1', '192.bq1.b1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [92, 448, 16], 'label': '768.87077.96.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': ['32.h1.b1', '48.b1.a1'], 'normal_contains': ['192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918966
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '48.b1.a1', '48.j1.a1', '48.r1.a1', '48.s1.a1', '48.t1.a1'], 'contains': ['192.a1.a1', '192.f1.a1', '192.o1.a1', '192.v1.a1', '192.v1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 64, 16], 'label': '768.87077.96.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918967
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '48.c1.a1', '48.j1.a1', '48.r1.a1', '48.x1.a1', '48.y1.a1', '48.z1.a1', '48.z1.b1'], 'contains': ['192.a1.a1', '192.h1.a1', '192.q1.a1', '192.x1.a1', '192.z1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [390, 64, 16], 'label': '768.87077.96.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918968
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '48.d1.a1', '48.k1.a1', '48.s1.a1', '48.u1.a1', '48.x1.a1', '48.ba1.a1', '48.bb1.a1'], 'contains': ['192.a1.a1', '192.i1.a1', '192.r1.a1', '192.y1.a1', '192.y1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 64, 16], 'label': '768.87077.96.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918969
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '48.e1.a1', '48.k1.a1', '48.t1.a1', '48.u1.a1', '48.y1.a1', '48.bc1.a1', '48.bc1.a2'], 'contains': ['192.a1.a1', '192.j1.a1', '192.s1.a1', '192.ba1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 64, 16], 'label': '768.87077.96.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918970
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '48.l1.a1', '48.n1.a1', '48.v1.a1', '48.ba1.a1', '48.bc1.a1', '48.bc1.a2'], 'contains': ['192.a1.a1', '192.k1.a1', '192.k1.b1', '192.t1.a1', '192.bb1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 64, 16], 'label': '768.87077.96.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918971
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.a1', '48.f1.a1', '48.m1.a1', '48.t1.a1', '48.w1.a1', '48.x1.a1', '48.bd1.a1', '48.bd1.b1'], 'contains': ['192.a1.a1', '192.bc1.a1', '192.bc1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 64], 'label': '768.87077.96.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918972
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.a1', '16.bg1.a1', '16.bh1.a1', '16.bk1.a1', '16.bl1.a1', '16.bm1.a1', '16.bn1.a1', '24.bi1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 384, 32, 454, 448], 'label': '768.87077.8.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918973
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.a1', '48.g1.a1', '48.m1.a1', '48.s1.a1', '48.w1.a1', '48.y1.a1'], 'contains': ['192.a1.a1', '192.bd1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 64], 'label': '768.87077.96.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918974
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '48.l1.a1', '48.o1.a1', '48.v1.a1', '48.bb1.a1', '48.bc1.a1', '48.bc1.a2'], 'contains': ['192.a1.a1', '192.l1.a1', '192.l1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 16], 'label': '768.87077.96.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918976
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.b1', '48.a1.a1', '48.be1.b1', '48.bf1.b1', '48.bg1.c1', '48.bg1.d1', '48.bg2.b1', '48.bh1.b1'], 'contains': ['192.b1.b1', '192.e1.a1', '192.g1.a1', '192.be1.b1', '192.bf1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 64, 384], 'label': '768.87077.96.q1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.q1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918977
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '48.j1.a1', '48.be1.a1', '48.bi1.a1'], 'contains': ['192.b1.a1', '192.f1.a1', '192.h1.a1', '192.bg1.a1', '192.bg1.b1', '192.bh1.a1', '192.bh1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 390, 64], 'label': '768.87077.96.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918978
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '48.j1.a1', '48.be1.b1', '48.bi1.b1'], 'contains': ['192.b1.b1', '192.f1.a1', '192.h1.a1', '192.bg1.c1', '192.bg1.d1', '192.bh1.c1', '192.bh1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 390, 64], 'label': '768.87077.96.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918979
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '48.k1.a1', '48.bf1.a1', '48.bj1.a1', '48.bj1.b1', '48.bj2.a1', '48.bj2.a2'], 'contains': ['192.b1.a1', '192.i1.a1', '192.j1.a1', '192.bi1.a1', '192.bi1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 64], 'label': '768.87077.96.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918980
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.b1', '48.k1.a1', '48.bf1.b1', '48.bj1.c1', '48.bj1.d1', '48.bj2.b1', '48.bj2.b2'], 'contains': ['192.b1.b1', '192.i1.a1', '192.j1.a1', '192.bi1.c1', '192.bi1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 452, 64], 'label': '768.87077.96.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918981
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.a1', '48.l1.a1', '48.bg1.a1', '48.bg2.a1', '48.bj1.a1', '48.bj2.a1', '48.bj2.a2'], 'contains': ['192.b1.a1', '192.k1.a1', '192.l1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32], 'label': '768.87077.96.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918982
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.b1', '48.l1.a1', '48.bg1.b1', '48.bg2.a1', '48.bj1.b1', '48.bj2.a1', '48.bj2.a2'], 'contains': ['192.b1.a1', '192.k1.b1', '192.l1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48], 'label': '768.87077.96.t1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918983
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.a1', '16.bg1.b1', '16.bh1.a1', '16.bk1.b1', '16.bl1.b1', '16.bm1.b1', '16.bn1.b1', '24.bi1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 384, 48, 454, 448], 'label': '768.87077.8.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918984
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.c1', '48.l1.a1', '48.bg1.c1', '48.bg2.b1', '48.bj1.c1', '48.bj2.b1', '48.bj2.b2'], 'contains': ['192.b1.b1', '192.k1.a1', '192.l1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48], 'label': '768.87077.96.t1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918985
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.d1', '48.l1.a1', '48.bg1.d1', '48.bg2.b1', '48.bj1.d1', '48.bj2.b1', '48.bj2.b2'], 'contains': ['192.b1.b1', '192.k1.b1', '192.l1.a1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32], 'label': '768.87077.96.t1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918986
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.u1.a1', '48.b1.a1', '48.be1.a1', '48.be1.b1', '48.bk1.a1', '48.bk1.b1', '48.bl1.a1', '48.bl1.b1'], 'contains': ['192.e1.a1', '192.f1.a1', '192.bj1.a1', '192.bq1.a1', '192.bq1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64, 384], 'label': '768.87077.96.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918987
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.v1.a1', '48.c1.a1', '48.be1.a1', '48.be1.b1', '48.bm1.a1', '48.bm1.b1', '48.bn1.a1', '48.bn1.b1'], 'contains': ['192.e1.a1', '192.h1.a1', '192.bk1.a1', '192.bm1.a1', '192.br1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 64, 384], 'label': '768.87077.96.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918988
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '48.d1.a1', '48.bf1.a1', '48.bf1.b1', '48.bo1.a1', '48.bo1.b1', '48.bp1.a1', '48.bp1.b1'], 'contains': ['192.e1.a1', '192.i1.a1', '192.bl1.a1', '192.bl1.b1', '192.bs1.a1', '192.bs1.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64, 384], 'label': '768.87077.96.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918989
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '48.e1.a1', '48.bf1.a1', '48.bf1.b1', '48.bq1.a1', '48.bq1.b1', '48.bq2.a1', '48.bq2.b1'], 'contains': ['192.e1.a1', '192.j1.a1', '192.bn1.a1', '192.bt1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64, 384], 'label': '768.87077.96.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918990
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '48.n1.a1', '48.bg1.a1', '48.bg1.c1', '48.bk1.a1', '48.bm1.a1', '48.bo1.b1', '48.bq2.a1'], 'contains': ['192.e1.a1', '192.k1.a1', '192.bo1.a1', '192.bu1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 64, 384], 'label': '768.87077.96.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918991
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.b1', '48.n1.a1', '48.bg1.b1', '48.bg1.d1', '48.bk1.b1', '48.bm1.b1', '48.bo1.a1', '48.bq2.b1'], 'contains': ['192.e1.a1', '192.k1.b1', '192.bo1.b1', '192.bu1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [442, 64, 384], 'label': '768.87077.96.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918992
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y2.a1', '48.n1.a1', '48.bg2.a1', '48.bg2.b1', '48.bo1.a1', '48.bo1.b1', '48.bq1.a1', '48.bq1.b1'], 'contains': ['192.e1.a1', '192.k1.a1', '192.k1.b1', '192.bo2.a1', '192.bu2.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 64, 400], 'label': '768.87077.96.y2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.y2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918993
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z1.a1', '48.o1.a1', '48.bg1.a1', '48.bg1.d1', '48.bl1.a1', '48.bn1.a1', '48.bp1.b1', '48.bq1.a1'], 'contains': ['192.e1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 384], 'label': '768.87077.96.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918994
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.b1', '16.bg1.c1', '16.bh1.b1', '16.bk1.a1', '16.bl1.b1', '16.bm1.a1', '16.bn1.b1', '24.bi1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 384, 48, 454, 448], 'label': '768.87077.8.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919133
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.di1.a1', '48.bm1.a1', '48.bw1.a1', '48.cm1.a1'], 'contains': ['192.bk1.a1', '192.bo1.a1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [56, 454], 'label': '768.87077.96.di1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.di1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918995
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z1.b1', '48.o1.a1', '48.bg1.b1', '48.bg1.c1', '48.bl1.b1', '48.bn1.b1', '48.bp1.a1', '48.bq1.b1'], 'contains': ['192.e1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [48, 384], 'label': '768.87077.96.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918996
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z2.a1', '48.o1.a1', '48.bg2.a1', '48.bg2.b1', '48.bp1.a1', '48.bp1.b1', '48.bq2.a1', '48.bq2.b1'], 'contains': ['192.e1.a1', '192.l1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 400], 'label': '768.87077.96.z2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.z2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918997
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ba1.a1', '48.p1.a1', '48.bh1.a1', '48.bh1.b1', '48.bk1.a1', '48.bk1.b1', '48.bn1.a1', '48.bn1.b1'], 'contains': ['192.e1.a1', '192.bv1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 400], 'label': '768.87077.96.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '96.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918998
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bb1.a1', '48.q1.a1', '48.bh1.a1', '48.bh1.b1', '48.bl1.a1', '48.bl1.b1', '48.bm1.a1', '48.bm1.b1'], 'contains': ['192.e1.a1', '192.bp1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 64], 'label': '768.87077.96.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '96.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59918999
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '48.r1.a1', '48.be1.a1', '48.be1.b1'], 'contains': ['192.f1.a1', '192.g1.a1', '192.h1.a1', '192.bw1.a1', '192.bw1.b1', '192.bx1.a1', '192.bx1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 64], 'label': '768.87077.96.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919000
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a1', '48.u1.a1', '48.bf1.a1', '48.bf1.b1', '48.br1.a1', '48.br1.b1', '48.br2.a1', '48.br2.b1'], 'contains': ['192.g1.a1', '192.i1.a1', '192.j1.a1', '192.by1.a1', '192.by1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 64], 'label': '768.87077.96.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919001
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a2', '48.u1.a1', '48.bf1.a1', '48.bf1.b1', '48.br1.a2', '48.br1.b2', '48.br2.a2', '48.br2.b2'], 'contains': ['192.g1.a1', '192.i1.a1', '192.j1.a1', '192.by1.a2', '192.by1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 452, 64], 'label': '768.87077.96.bd1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.bd1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919002
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.a1', '48.v1.a1', '48.bg1.a1', '48.bg2.b1', '48.br1.a1', '48.br1.a2', '48.br2.a1', '48.br2.a2'], 'contains': ['192.g1.a1', '192.k1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32], 'label': '768.87077.96.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919003
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.b1', '48.v1.a1', '48.bg1.c1', '48.bg2.a1', '48.br1.b1', '48.br1.b2', '48.br2.a1', '48.br2.a2'], 'contains': ['192.g1.a1', '192.k1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 48], 'label': '768.87077.96.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919004
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.c1', '48.v1.a1', '48.bg1.d1', '48.bg2.a1', '48.br1.a1', '48.br1.a2', '48.br2.b1', '48.br2.b2'], 'contains': ['192.g1.a1', '192.k1.b1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 32], 'label': '768.87077.96.be1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919005
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.b1', '16.bg1.d1', '16.bh1.b1', '16.bk1.b1', '16.bl1.a1', '16.bm1.b1', '16.bn1.a1', '24.bi1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 384, 32, 454, 448], 'label': '768.87077.8.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919006
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.d1', '48.v1.a1', '48.bg1.b1', '48.bg2.b1', '48.br1.b1', '48.br1.b2', '48.br2.b1', '48.br2.b2'], 'contains': ['192.g1.a1', '192.k1.b1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 48], 'label': '768.87077.96.be1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919007
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.a1', '48.z1.a1', '48.bi1.a1', '48.bi1.b1'], 'contains': ['192.h1.a1', '192.ca1.a1', '192.ca1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 64], 'label': '768.87077.96.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919008
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.b1', '48.z1.b1', '48.bi1.a1', '48.bi1.b1'], 'contains': ['192.h1.a1', '192.ca1.c1', '192.ca1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 64], 'label': '768.87077.96.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919009
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.a1', '48.ba1.a1', '48.bj1.a1', '48.bj1.c1', '48.bo1.b1', '48.br2.a1', '48.br2.a2'], 'contains': ['192.i1.a1', '192.k1.a1', '192.bz1.a1', '192.bz1.c1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 468, 64], 'label': '768.87077.96.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919010
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.b1', '48.ba1.a1', '48.bj1.b1', '48.bj1.d1', '48.bo1.a1', '48.br2.b1', '48.br2.b2'], 'contains': ['192.i1.a1', '192.k1.b1', '192.bz1.b1', '192.bz1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 468, 64], 'label': '768.87077.96.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919011
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a1', '48.ba1.a1', '48.bj2.a1', '48.bj2.b1', '48.bo1.a1', '48.bo1.b1', '48.br1.a1', '48.br1.b2'], 'contains': ['192.i1.a1', '192.k1.a1', '192.k1.b1', '192.bz2.a1', '192.bz2.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 64], 'label': '768.87077.96.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919012
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a2', '48.ba1.a1', '48.bj2.a2', '48.bj2.b2', '48.bo1.a1', '48.bo1.b1', '48.br1.a2', '48.br1.b1'], 'contains': ['192.i1.a1', '192.k1.a1', '192.k1.b1', '192.bz2.a2', '192.bz2.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 452, 64], 'label': '768.87077.96.bg2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919013
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh1.a1', '48.bb1.a1', '48.bj1.a1', '48.bj1.d1', '48.bp1.b1', '48.br1.a1', '48.br1.a2'], 'contains': ['192.i1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 452], 'label': '768.87077.96.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919014
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh1.b1', '48.bb1.a1', '48.bj1.b1', '48.bj1.c1', '48.bp1.a1', '48.br1.b1', '48.br1.b2'], 'contains': ['192.i1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 452], 'label': '768.87077.96.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919015
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh2.a1', '48.bb1.a1', '48.bj2.a1', '48.bj2.b2', '48.bp1.a1', '48.bp1.b1', '48.br2.a1', '48.br2.b2'], 'contains': ['192.i1.a1', '192.l1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 468], 'label': '768.87077.96.bh2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919016
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.a1', '16.bg1.b1', '16.bg2.a1', '16.bj1.b1', '16.bj2.a1', '16.bj2.a2', '16.bo1.a1', '16.bp1.a1', '16.bq1.b1', '16.bq2.b1', '16.br1.b1', '16.br1.b2', '16.br2.b1', '16.br2.b2', '24.bj1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 64, 48, 452, 384], 'label': '768.87077.8.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919017
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh2.a2', '48.bb1.a1', '48.bj2.a2', '48.bj2.b1', '48.bp1.a1', '48.bp1.b1', '48.br2.a2', '48.br2.b1'], 'contains': ['192.i1.a1', '192.l1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 468], 'label': '768.87077.96.bh2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh2.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919018
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.a1', '48.bc1.a1', '48.bj1.a1', '48.bj2.b1', '48.bq1.a1', '48.bq2.a1', '48.br1.a2', '48.br2.a1'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [78, 32], 'label': '768.87077.96.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919019
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.a2', '48.bc1.a2', '48.bj1.a1', '48.bj2.b2', '48.bq1.a1', '48.bq2.a1', '48.br1.a1', '48.br2.a2'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32], 'label': '768.87077.96.bi1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919020
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.b1', '48.bc1.a1', '48.bj1.c1', '48.bj2.a1', '48.bq1.b1', '48.bq2.a1', '48.br1.b1', '48.br2.a2'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [94, 48], 'label': '768.87077.96.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919021
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.b2', '48.bc1.a2', '48.bj1.c1', '48.bj2.a2', '48.bq1.b1', '48.bq2.a1', '48.br1.b2', '48.br2.a1'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [462, 48], 'label': '768.87077.96.bi1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919022
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.c1', '48.bc1.a1', '48.bj1.d1', '48.bj2.a2', '48.bq1.a1', '48.bq2.b1', '48.br1.a1', '48.br2.b2'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [94, 32], 'label': '768.87077.96.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919023
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.c2', '48.bc1.a2', '48.bj1.d1', '48.bj2.a1', '48.bq1.a1', '48.bq2.b1', '48.br1.a2', '48.br2.b1'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [462, 32], 'label': '768.87077.96.bi1.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.c2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.c2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919024
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.d1', '48.bc1.a1', '48.bj1.b1', '48.bj2.b2', '48.bq1.b1', '48.bq2.b1', '48.br1.b2', '48.br2.b1'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [78, 48], 'label': '768.87077.96.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919025
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.d2', '48.bc1.a2', '48.bj1.b1', '48.bj2.b1', '48.bq1.b1', '48.bq2.b1', '48.br1.b1', '48.br2.b2'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 48], 'label': '768.87077.96.bi1.d2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.d2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.d2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919026
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bj1.a1', '48.a1.a1', '48.bs1.a1', '48.bt1.a1'], 'contains': ['192.m1.a1', '192.n1.a1', '192.p1.a1', '192.be1.a1', '192.be1.b1', '192.bf1.a1', '192.bf1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 80, 384], 'label': '768.87077.96.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919027
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.a1', '16.bg1.a1', '16.bg2.a1', '16.bj1.a1', '16.bj2.a1', '16.bj2.a2', '16.bo1.b1', '16.bp1.b1', '16.bq1.a1', '16.bq2.a1', '16.br1.a1', '16.br1.a2', '16.br2.a1', '16.br2.a2', '24.bj1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 64, 32, 452, 384], 'label': '768.87077.8.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919028
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bk1.a1', '48.j1.a1', '48.bs1.a1', '48.bu1.a1'], 'contains': ['192.m1.a1', '192.o1.a1', '192.q1.a1', '192.bg1.a1', '192.bg1.d1', '192.bh1.b1', '192.bh1.c1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 390, 80], 'label': '768.87077.96.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919029
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bk1.a2', '48.j1.a1', '48.bs1.a1', '48.bu1.a2'], 'contains': ['192.m1.a1', '192.o1.a1', '192.q1.a1', '192.bg1.b1', '192.bg1.c1', '192.bh1.a1', '192.bh1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 390, 80], 'label': '768.87077.96.bk1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.bk1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919030
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bl1.a1', '48.k1.a1', '48.bt1.a1'], 'contains': ['192.m1.a1', '192.r1.a1', '192.s1.a1', '192.bi1.a1', '192.bi1.b1', '192.bi1.c1', '192.bi1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 80], 'label': '768.87077.96.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919031
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bm1.a1', '48.b1.a1', '48.bs1.a1', '48.bv1.a1'], 'contains': ['192.n1.a1', '192.o1.a1', '192.bj1.a1', '192.bq1.a1', '192.bq1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80, 384], 'label': '768.87077.96.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919032
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bn1.a1', '48.c1.a1', '48.bs1.a1', '48.bw1.a1'], 'contains': ['192.n1.a1', '192.q1.a1', '192.bk1.a1', '192.bm1.a1', '192.br1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 80, 384], 'label': '768.87077.96.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919033
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bo1.a1', '48.d1.a1', '48.bt1.a1', '48.bx1.a1'], 'contains': ['192.n1.a1', '192.r1.a1', '192.bl1.a1', '192.bl1.b1', '192.bs1.a1', '192.bs1.a2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80, 384], 'label': '768.87077.96.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919034
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bp1.a1', '48.e1.a1', '48.bt1.a1', '48.by1.a1'], 'contains': ['192.n1.a1', '192.s1.a1', '192.bn1.a1', '192.bt1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80, 384], 'label': '768.87077.96.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '96.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919035
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bq1.a1', '48.n1.a1', '48.bv1.a1', '48.bx1.a1'], 'contains': ['192.n1.a1', '192.t1.a1', '192.bo2.a1', '192.bu1.a1', '192.bu1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 80, 400], 'label': '768.87077.96.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '96.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919036
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bq2.a1', '48.n1.a1', '48.bw1.a1', '48.bx1.a1'], 'contains': ['192.n1.a1', '192.t1.a1', '192.bo1.a1', '192.bo1.b1', '192.bu2.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 80, 384], 'label': '768.87077.96.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '96.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919037
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.br1.a1', '48.p1.a1', '48.bv1.a1', '48.by1.a1'], 'contains': ['192.n1.a1', '192.bv1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 384], 'label': '768.87077.96.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1.a1', 'old_label': '96.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919038
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.b1', '16.bg1.d1', '16.bg2.b1', '16.bj1.d1', '16.bj2.b1', '16.bj2.b2', '16.bo1.a1', '16.bp1.b1', '16.bq1.a1', '16.bq2.b1', '16.br1.a1', '16.br1.a2', '16.br2.b1', '16.br2.b2', '24.bj1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 64, 32, 452, 384], 'label': '768.87077.8.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919039
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bs1.a1', '48.q1.a1', '48.bw1.a1', '48.by1.a1'], 'contains': ['192.n1.a1', '192.bp1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 80], 'label': '768.87077.96.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.p1.a1', 'old_label': '96.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919040
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bt1.a1', '48.r1.a1', '48.bs1.a1'], 'contains': ['192.o1.a1', '192.p1.a1', '192.q1.a1', '192.bw1.a1', '192.bw1.b1', '192.bx1.a1', '192.bx1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 390, 80], 'label': '768.87077.96.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919041
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bu1.a1', '48.u1.a1', '48.bt1.a1'], 'contains': ['192.p1.a1', '192.r1.a1', '192.s1.a1', '192.by1.a1', '192.by1.a2', '192.by1.b1', '192.by1.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452, 80], 'label': '768.87077.96.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919042
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bv1.a1', '48.z1.a1', '48.bu1.a1', '48.bu1.a2'], 'contains': ['192.q1.a1', '192.ca1.a1', '192.ca1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 80], 'label': '768.87077.96.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919043
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bv1.b1', '48.z1.b1', '48.bu1.a1', '48.bu1.a2'], 'contains': ['192.q1.a1', '192.ca1.c1', '192.ca1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 80], 'label': '768.87077.96.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919044
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bw1.a1', '48.ba1.a1', '48.bx1.a1'], 'contains': ['192.r1.a1', '192.t1.a1', '192.bz1.c1', '192.bz1.d1', '192.bz2.a1', '192.bz2.a2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 468, 80], 'label': '768.87077.96.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919045
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bw1.a2', '48.ba1.a1', '48.bx1.a1'], 'contains': ['192.r1.a1', '192.t1.a1', '192.bz1.a1', '192.bz1.b1', '192.bz2.b1', '192.bz2.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 80], 'label': '768.87077.96.bw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.bw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919046
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bx1.a1', '48.a1.a1', '48.bz1.a1', '48.ca1.a1', '48.cb1.a1', '48.cb1.b1', '48.cc1.a1', '48.cc1.b1'], 'contains': ['192.c1.a1', '192.u1.a1', '192.w1.a1', '192.be1.a1', '192.be1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 384, 16], 'label': '768.87077.96.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919047
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.by1.a1', '48.a1.a1', '48.cd1.a1', '48.cd1.b1', '48.ce1.a1', '48.cf1.a1'], 'contains': ['192.d1.a1', '192.u1.a1', '192.w1.a1', '192.bf1.a1', '192.bf1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 448, 16], 'label': '768.87077.96.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919048
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bz1.a1', '48.j1.a1', '48.bz1.a1', '48.cd1.a1', '48.cg1.a1', '48.cg1.b1'], 'contains': ['192.u1.a1', '192.v1.a1', '192.x1.a1', '192.bg1.a1', '192.bg1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 454, 16], 'label': '768.87077.96.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919049
    {'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.d1.b1', '6.e1.a1', '6.e1.b1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 8, 32], 'label': '768.87077.3.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919050
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.b1', '16.bg1.c1', '16.bg2.b1', '16.bj1.c1', '16.bj2.b1', '16.bj2.b2', '16.bo1.b1', '16.bp1.a1', '16.bq1.b1', '16.bq2.a1', '16.br1.b1', '16.br1.b2', '16.br2.a1', '16.br2.a2', '24.bj1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 64, 48, 452, 384], 'label': '768.87077.8.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919051
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bz1.b1', '48.j1.a1', '48.bz1.a1', '48.cd1.b1', '48.cg1.c1', '48.cg1.d1'], 'contains': ['192.u1.a1', '192.v1.b1', '192.x1.a1', '192.bg1.b1', '192.bg1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 70, 16], 'label': '768.87077.96.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919052
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ca1.a1', '48.j1.a1', '48.ca1.a1', '48.cd1.a1', '48.ch1.a1', '48.ch1.b1', '48.ci1.a1', '48.ci1.b1'], 'contains': ['192.u1.a1', '192.v1.a1', '192.z1.a1', '192.bh1.a1', '192.bh1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 6, 16], 'label': '768.87077.96.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919053
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ca1.b1', '48.j1.a1', '48.ca1.a1', '48.cd1.b1', '48.ch1.c1', '48.ch1.d1', '48.ci1.c1', '48.ci1.d1'], 'contains': ['192.u1.a1', '192.v1.b1', '192.z1.a1', '192.bh1.b1', '192.bh1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 390, 16], 'label': '768.87077.96.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919054
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cb1.a1', '48.k1.a1', '48.cb1.a1', '48.ce1.a1', '48.cg1.a1', '48.cg1.c1', '48.ch1.a1', '48.ch1.c1'], 'contains': ['192.u1.a1', '192.y1.a1', '192.ba1.a1', '192.bi1.a1', '192.bi1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 388, 16], 'label': '768.87077.96.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919055
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cb1.b1', '48.k1.a1', '48.cb1.b1', '48.ce1.a1', '48.cg1.b1', '48.cg1.d1', '48.ch1.b1', '48.ch1.d1'], 'contains': ['192.u1.a1', '192.y1.b1', '192.ba1.a1', '192.bi1.b1', '192.bi1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 16], 'label': '768.87077.96.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919056
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cc1.a1', '48.m1.a1', '48.cc1.a1', '48.cf1.a1', '48.cg1.b1', '48.cg1.d1', '48.ch1.a1', '48.ch1.c1'], 'contains': ['192.u1.a1', '192.bc1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2], 'label': '768.87077.96.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919057
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cc1.b1', '48.m1.a1', '48.cc1.b1', '48.cf1.a1', '48.cg1.a1', '48.cg1.c1', '48.ch1.b1', '48.ch1.d1'], 'contains': ['192.u1.a1', '192.bc1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 66], 'label': '768.87077.96.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919058
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cd1.a1', '48.b1.a1', '48.bz1.a1', '48.ca1.a1', '48.cj1.a1', '48.cj1.b1', '48.ck1.a1', '48.ck1.b1'], 'contains': ['192.c1.a1', '192.v1.a1', '192.v1.b1', '192.bj1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 384, 16], 'label': '768.87077.96.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919059
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ce1.a1', '48.e1.a1', '48.cb1.a1', '48.cb1.b1', '48.ck1.a1', '48.ck1.b1', '48.cl1.a1', '48.cp1.a1'], 'contains': ['192.c1.a1', '192.ba1.a1', '192.bn1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 384, 16], 'label': '768.87077.96.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919060
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cf1.a1', '48.n1.a1', '48.cm1.a1', '48.cn1.a1', '48.cn1.b1', '48.cq1.a1', '48.cs1.a1', '48.cs1.b1'], 'contains': ['192.c1.a1', '192.bb1.a1', '192.bo1.a1', '192.bo1.b1', '192.bo2.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 384, 16], 'label': '768.87077.96.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '96.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919061
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.h1.a1', '16.bz1.a1', '16.cb1.a1', '16.cc1.b1', '16.cg1.a1', '16.cg1.c1', '16.cj1.a1', '16.ck1.b1', '16.cl1.a1', '16.de1.a1', '16.de1.c1', '24.bk1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 66, 388, 384], 'label': '768.87077.8.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919062
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cg1.a1', '48.g1.a1', '48.cc1.a1', '48.cc1.b1', '48.cj1.a1', '48.cj1.b1', '48.cl1.a1', '48.cp1.a1'], 'contains': ['192.c1.a1', '192.bd1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 384], 'label': '768.87077.96.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919063
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ch1.a1', '48.q1.a1', '48.cm1.a1', '48.co1.a1', '48.co1.b1', '48.cq1.a1', '48.cs1.a1', '48.cs1.b1'], 'contains': ['192.c1.a1', '192.bp1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 16], 'label': '768.87077.96.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '96.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919064
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ci1.a1', '48.c1.a1', '48.cd1.a1', '48.cd1.b1', '48.cx1.a1', '48.cy1.a1', '48.cz1.a1', '48.cz1.b1'], 'contains': ['192.d1.a1', '192.x1.a1', '192.z1.a1', '192.br1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6, 448, 16], 'label': '768.87077.96.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919065
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cj1.a1', '48.d1.a1', '48.ce1.a1', '48.cu1.a1', '48.cu1.b1', '48.cx1.a1', '48.da1.a1', '48.db1.a1'], 'contains': ['192.d1.a1', '192.y1.a1', '192.y1.b1', '192.bs1.a1', '192.bs1.a2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 448, 16], 'label': '768.87077.96.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919066
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ck1.a1', '48.e1.a1', '48.ce1.a1', '48.cv1.a1', '48.cv1.b1', '48.cy1.a1'], 'contains': ['192.d1.a1', '192.ba1.a1', '192.bt1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 448, 16], 'label': '768.87077.96.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919067
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cl1.a1', '48.n1.a1', '48.cw1.a1', '48.cw1.b1', '48.da1.a1', '48.dc1.a1', '48.dc1.a2'], 'contains': ['192.d1.a1', '192.bb1.a1', '192.bu1.a1', '192.bu1.b1', '192.bu2.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 448, 16], 'label': '768.87077.96.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '96.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919068
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cm1.a1', '48.f1.a1', '48.cf1.a1', '48.cv1.a1', '48.cv1.b1', '48.cx1.a1', '48.dd1.a1', '48.dd1.b1'], 'contains': ['192.d1.a1', '192.bc1.a1', '192.bc1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 448], 'label': '768.87077.96.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919069
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cn1.a1', '48.g1.a1', '48.cf1.a1', '48.cu1.a1', '48.cu1.b1', '48.cy1.a1', '48.dc1.a1', '48.dc1.a2'], 'contains': ['192.d1.a1', '192.bd1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 448], 'label': '768.87077.96.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919070
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.co1.a1', '48.p1.a1', '48.cw1.a1', '48.cw1.b1', '48.db1.a1', '48.dc1.a1', '48.dc1.a2'], 'contains': ['192.d1.a1', '192.bv1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 16], 'label': '768.87077.96.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '96.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919071
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cp1.a1', '48.r1.a1', '48.bz1.a1', '48.cd1.a1', '48.de1.a1', '48.de1.b1'], 'contains': ['192.v1.a1', '192.w1.a1', '192.x1.a1', '192.bw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 70, 16], 'label': '768.87077.96.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919072
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.h1.b1', '16.bz1.a1', '16.cb1.b1', '16.cc1.a1', '16.cg1.b1', '16.cg1.d1', '16.cj1.b1', '16.ck1.a1', '16.cl1.a1', '16.de1.b1', '16.de1.d1', '24.bk1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 2, 452, 384], 'label': '768.87077.8.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919073
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cp1.b1', '48.r1.a1', '48.bz1.a1', '48.cd1.b1', '48.de1.c1', '48.de1.d1'], 'contains': ['192.v1.b1', '192.w1.a1', '192.x1.a1', '192.bw1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 454, 16], 'label': '768.87077.96.cp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919074
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cq1.a1', '48.r1.a1', '48.ca1.a1', '48.cd1.a1', '48.df1.a1', '48.df1.b1', '48.dg1.a1', '48.dg1.b1'], 'contains': ['192.v1.a1', '192.w1.a1', '192.z1.a1', '192.bx1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 390, 16], 'label': '768.87077.96.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919075
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cq1.b1', '48.r1.a1', '48.ca1.a1', '48.cd1.b1', '48.df1.c1', '48.df1.d1', '48.dg1.c1', '48.dg1.d1'], 'contains': ['192.v1.b1', '192.w1.a1', '192.z1.a1', '192.bx1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 6, 16], 'label': '768.87077.96.cq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919076
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.a1', '48.s1.a1', '48.cg1.a1', '48.ch1.a1', '48.cj1.a1', '48.cu1.a1', '48.de1.a1', '48.df1.a1'], 'contains': ['192.v1.a1', '192.y1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 388], 'label': '768.87077.96.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919077
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.b1', '48.s1.a1', '48.cg1.b1', '48.ch1.b1', '48.cj1.b1', '48.cu1.a1', '48.de1.b1', '48.df1.b1'], 'contains': ['192.v1.a1', '192.y1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 452], 'label': '768.87077.96.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919078
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.c1', '48.s1.a1', '48.cg1.c1', '48.ch1.c1', '48.cj1.a1', '48.cu1.b1', '48.de1.c1', '48.df1.c1'], 'contains': ['192.v1.b1', '192.y1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 388], 'label': '768.87077.96.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919079
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.d1', '48.s1.a1', '48.cg1.d1', '48.ch1.d1', '48.cj1.b1', '48.cu1.b1', '48.de1.d1', '48.df1.d1'], 'contains': ['192.v1.b1', '192.y1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 452], 'label': '768.87077.96.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919080
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.a1', '48.t1.a1', '48.cg1.b1', '48.ch1.a1', '48.ck1.a1', '48.cv1.a1', '48.de1.b1', '48.df1.a1'], 'contains': ['192.v1.a1', '192.ba1.a1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 2], 'label': '768.87077.96.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919081
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.b1', '48.t1.a1', '48.cg1.a1', '48.ch1.b1', '48.ck1.b1', '48.cv1.a1', '48.de1.a1', '48.df1.b1'], 'contains': ['192.v1.a1', '192.ba1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 66], 'label': '768.87077.96.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919082
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.c1', '48.t1.a1', '48.cg1.d1', '48.ch1.c1', '48.ck1.a1', '48.cv1.b1', '48.de1.d1', '48.df1.c1'], 'contains': ['192.v1.b1', '192.ba1.a1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 2], 'label': '768.87077.96.cs1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919083
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.r1.a1', '4.r1.b1'], 'contains': ['16.i1.a1', '16.ca1.a1', '16.cb1.a1', '16.cc1.a1', '16.ch1.a1', '16.ch1.c1', '16.cj1.a1', '16.ck1.a1', '16.cp1.a1', '16.df1.a1', '16.df1.c1', '24.bl1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 2, 388, 384], 'label': '768.87077.8.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919084
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.d1', '48.t1.a1', '48.cg1.c1', '48.ch1.d1', '48.ck1.b1', '48.cv1.b1', '48.de1.c1', '48.df1.d1'], 'contains': ['192.v1.b1', '192.ba1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 66], 'label': '768.87077.96.cs1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919085
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ct1.a1', '48.u1.a1', '48.cb1.a1', '48.ce1.a1', '48.de1.a1', '48.de1.c1', '48.df1.a1', '48.df1.c1'], 'contains': ['192.w1.a1', '192.y1.a1', '192.ba1.a1', '192.by1.a1', '192.by1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 388, 16], 'label': '768.87077.96.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919086
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ct1.b1', '48.u1.a1', '48.cb1.b1', '48.ce1.a1', '48.de1.b1', '48.de1.d1', '48.df1.b1', '48.df1.d1'], 'contains': ['192.w1.a1', '192.y1.b1', '192.ba1.a1', '192.by1.b1', '192.by1.b2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 16], 'label': '768.87077.96.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919087
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cu1.a1', '48.w1.a1', '48.cc1.a1', '48.cf1.a1', '48.de1.b1', '48.de1.d1', '48.df1.a1', '48.df1.c1'], 'contains': ['192.w1.a1', '192.bc1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2], 'label': '768.87077.96.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919088
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cu1.b1', '48.w1.a1', '48.cc1.b1', '48.cf1.a1', '48.de1.a1', '48.de1.c1', '48.df1.b1', '48.df1.d1'], 'contains': ['192.w1.a1', '192.bc1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 66], 'label': '768.87077.96.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919089
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cv1.a1', '48.h1.a1', '48.x1.a1', '48.cg1.a1', '48.cg1.c1', '48.cx1.a1', '48.de1.a1', '48.de1.c1'], 'contains': ['192.x1.a1', '192.y1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 388], 'label': '768.87077.96.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919090
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cv1.b1', '48.h1.b1', '48.x1.a1', '48.cg1.b1', '48.cg1.d1', '48.cx1.a1', '48.de1.b1', '48.de1.d1'], 'contains': ['192.x1.a1', '192.y1.b1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452], 'label': '768.87077.96.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919091
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cw1.a1', '48.y1.a1', '48.cg1.a1', '48.cg1.d1', '48.cl1.a1', '48.cy1.a1', '48.de1.b1', '48.de1.c1'], 'contains': ['192.x1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70], 'label': '768.87077.96.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919092
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cw1.a2', '48.y1.a1', '48.cg1.b1', '48.cg1.c1', '48.cl1.a1', '48.cy1.a1', '48.de1.a1', '48.de1.d1'], 'contains': ['192.x1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454], 'label': '768.87077.96.cw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919093
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cx1.a1', '48.i1.a1', '48.x1.a1', '48.ch1.a1', '48.ch1.c1', '48.cx1.a1', '48.df1.a1', '48.df1.c1'], 'contains': ['192.y1.a1', '192.z1.a1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 388], 'label': '768.87077.96.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919094
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.r1.c1', '4.r1.d1'], 'contains': ['16.i1.b1', '16.ca1.a1', '16.cb1.b1', '16.cc1.b1', '16.ch1.b1', '16.ch1.d1', '16.cj1.b1', '16.ck1.b1', '16.cp1.a1', '16.df1.b1', '16.df1.d1', '24.bl1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 66, 452, 384], 'label': '768.87077.8.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919095
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cx1.b1', '48.i1.b1', '48.x1.a1', '48.ch1.b1', '48.ch1.d1', '48.cx1.a1', '48.df1.b1', '48.df1.d1'], 'contains': ['192.y1.b1', '192.z1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 452], 'label': '768.87077.96.cx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919096
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cy1.a1', '48.ba1.a1', '48.cn1.a1', '48.da1.a1'], 'contains': ['192.y1.a1', '192.bb1.a1', '192.bz1.a1', '192.bz1.b1', '192.bz2.a1', '192.bz2.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 388, 16], 'label': '768.87077.96.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919097
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cy1.b1', '48.ba1.a1', '48.cn1.b1', '48.da1.a1'], 'contains': ['192.y1.b1', '192.bb1.a1', '192.bz1.c1', '192.bz1.d1', '192.bz2.b1', '192.bz2.b2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 16], 'label': '768.87077.96.cy1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.cy1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919098
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cz1.a1', '48.y1.a1', '48.ch1.a1', '48.ch1.d1', '48.cp1.a1', '48.cy1.a1', '48.df1.b1', '48.df1.c1'], 'contains': ['192.z1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6], 'label': '768.87077.96.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919099
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cz1.a2', '48.y1.a1', '48.ch1.b1', '48.ch1.c1', '48.cp1.a1', '48.cy1.a1', '48.df1.a1', '48.df1.d1'], 'contains': ['192.z1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390], 'label': '768.87077.96.cz1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cz1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919100
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.a1', '48.z1.a1', '48.ci1.a1', '48.ci1.c1', '48.cr1.a1', '48.cz1.a1', '48.dg1.a1', '48.dg1.c1'], 'contains': ['192.z1.a1', '192.ca1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16], 'label': '768.87077.96.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919101
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.b1', '48.z1.a1', '48.ci1.b1', '48.ci1.d1', '48.cr1.b1', '48.cz1.a1', '48.dg1.b1', '48.dg1.d1'], 'contains': ['192.z1.a1', '192.ca1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 16], 'label': '768.87077.96.da1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919102
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.c1', '48.z1.b1', '48.ci1.a1', '48.ci1.d1', '48.cr1.c1', '48.cz1.b1', '48.dg1.b1', '48.dg1.c1'], 'contains': ['192.z1.a1', '192.ca1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 16], 'label': '768.87077.96.da1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919103
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.d1', '48.z1.b1', '48.ci1.b1', '48.ci1.c1', '48.cr1.d1', '48.cz1.b1', '48.dg1.a1', '48.dg1.d1'], 'contains': ['192.z1.a1', '192.ca1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [105, 16], 'label': '768.87077.96.da1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919104
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.db1.a1', '48.bd1.a1', '48.ct1.a1', '48.dd1.a1'], 'contains': ['192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1], 'label': '768.87077.96.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bc1.a1', 'old_label': '96.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919105
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.a1', '4.r1.c1'], 'contains': ['16.ca1.a1', '16.ci1.a1', '16.cr1.a1', '16.cr1.c1', '16.dg1.c1', '24.bm1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 16, 6, 412, 384, 256], 'label': '768.87077.8.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919106
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.db1.b1', '48.bd1.b1', '48.ct1.b1', '48.dd1.b1'], 'contains': ['192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [9], 'label': '768.87077.96.db1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bc1.b1', 'old_label': '96.db1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919107
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dc1.a1', '48.be1.a1', '48.bs1.a1', '48.bz1.a1'], 'contains': ['192.be1.a1', '192.bg1.a1', '192.bg1.b1', '192.bj1.a1', '192.bk1.a1', '192.bw1.a1', '192.bw1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 384], 'label': '768.87077.96.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919108
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dc1.b1', '48.be1.b1', '48.bs1.a1', '48.bz1.a1'], 'contains': ['192.be1.b1', '192.bg1.c1', '192.bg1.d1', '192.bj1.a1', '192.bk1.a1', '192.bw1.a1', '192.bw1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 454, 384], 'label': '768.87077.96.dc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919109
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dd1.a1', '48.be1.a1', '48.bs1.a1', '48.ca1.a1'], 'contains': ['192.be1.a1', '192.bh1.a1', '192.bh1.b1', '192.bj1.a1', '192.bm1.a1', '192.bx1.a1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [396, 390, 384], 'label': '768.87077.96.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919110
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dd1.b1', '48.be1.b1', '48.bs1.a1', '48.ca1.a1'], 'contains': ['192.be1.b1', '192.bh1.c1', '192.bh1.d1', '192.bj1.a1', '192.bm1.a1', '192.bx1.a1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 390, 384], 'label': '768.87077.96.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919111
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.a1', '48.bf1.a1', '48.bt1.a1', '48.cb1.a1'], 'contains': ['192.be1.a1', '192.bi1.a1', '192.bl1.a1', '192.bn1.a1', '192.by1.a1', '192.by1.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388, 384], 'label': '768.87077.96.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919112
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.b1', '48.bf1.a1', '48.bt1.a1', '48.cb1.b1'], 'contains': ['192.be1.a1', '192.bi1.b1', '192.bl1.b1', '192.bn1.a1', '192.by1.b1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 384], 'label': '768.87077.96.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919113
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.c1', '48.bf1.b1', '48.bt1.a1', '48.cb1.a1'], 'contains': ['192.be1.b1', '192.bi1.c1', '192.bl1.a1', '192.bn1.a1', '192.by1.a1', '192.by1.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388, 384], 'label': '768.87077.96.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919114
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.d1', '48.bf1.b1', '48.bt1.a1', '48.cb1.b1'], 'contains': ['192.be1.b1', '192.bi1.d1', '192.bl1.b1', '192.bn1.a1', '192.by1.b1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 384], 'label': '768.87077.96.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919115
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.a1', '48.be1.a1', '48.bs1.a1', '48.cd1.a1'], 'contains': ['192.bf1.a1', '192.bg1.a1', '192.bh1.a1', '192.bq1.a1', '192.br1.a1', '192.bw1.a1', '192.bx1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 448], 'label': '768.87077.96.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919116
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.b1', '4.r1.c1'], 'contains': ['16.ca1.a1', '16.ci1.c1', '16.cr1.a1', '16.cr1.d1', '16.dg1.a1', '24.bm1.b1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 390, 412, 384, 256], 'label': '768.87077.8.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919117
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.b1', '48.be1.a1', '48.bs1.a1', '48.cd1.b1'], 'contains': ['192.bf1.a1', '192.bg1.b1', '192.bh1.b1', '192.bq1.b1', '192.br1.a1', '192.bw1.b1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [76, 454, 448], 'label': '768.87077.96.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919118
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.c1', '48.be1.b1', '48.bs1.a1', '48.cd1.a1'], 'contains': ['192.bf1.b1', '192.bg1.c1', '192.bh1.c1', '192.bq1.a1', '192.br1.a1', '192.bw1.a1', '192.bx1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 6, 448], 'label': '768.87077.96.df1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919119
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.d1', '48.be1.b1', '48.bs1.a1', '48.cd1.b1'], 'contains': ['192.bf1.b1', '192.bg1.d1', '192.bh1.d1', '192.bq1.b1', '192.br1.a1', '192.bw1.b1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 448], 'label': '768.87077.96.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919120
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.a1', '48.bf1.a1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.a1', '192.bi1.a1', '192.bi1.b1', '192.bs1.a1', '192.bt1.a1', '192.by1.a2', '192.by1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 448], 'label': '768.87077.96.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919121
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.a2', '48.bf1.a1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.a1', '192.bi1.a1', '192.bi1.b1', '192.bs1.a2', '192.bt1.a1', '192.by1.a1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 464], 'label': '768.87077.96.dg1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919122
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.b1', '48.bf1.b1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.b1', '192.bi1.c1', '192.bi1.d1', '192.bs1.a1', '192.bt1.a1', '192.by1.a1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 448], 'label': '768.87077.96.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919123
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.b2', '48.bf1.b1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.b1', '192.bi1.c1', '192.bi1.d1', '192.bs1.a2', '192.bt1.a1', '192.by1.a2', '192.by1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 464], 'label': '768.87077.96.dg1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919124
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.a1', '48.bi1.a1', '48.bu1.a2', '48.ci1.a1'], 'contains': ['192.bh1.a1', '192.ca1.a1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 12], 'label': '768.87077.96.dh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919125
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.b1', '48.bi1.a1', '48.bu1.a2', '48.ci1.b1'], 'contains': ['192.bh1.a1', '192.ca1.b1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 12], 'label': '768.87077.96.dh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919126
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.c1', '48.bi1.a1', '48.bu1.a1', '48.ci1.c1'], 'contains': ['192.bh1.b1', '192.ca1.a1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 396], 'label': '768.87077.96.dh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919127
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.a1', '4.r1.d1'], 'contains': ['16.ca1.a1', '16.ci1.d1', '16.cr1.b1', '16.cr1.c1', '16.dg1.b1', '24.bm1.c1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 16, 390, 412, 384, 256], 'label': '768.87077.8.bm1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919128
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.d1', '48.bi1.a1', '48.bu1.a1', '48.ci1.d1'], 'contains': ['192.bh1.b1', '192.ca1.b1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 396], 'label': '768.87077.96.dh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919129
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.e1', '48.bi1.b1', '48.bu1.a1', '48.ci1.a1'], 'contains': ['192.bh1.c1', '192.ca1.a1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 28], 'label': '768.87077.96.dh1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919130
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.f1', '48.bi1.b1', '48.bu1.a1', '48.ci1.b1'], 'contains': ['192.bh1.c1', '192.ca1.b1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 28], 'label': '768.87077.96.dh1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919131
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.g1', '48.bi1.b1', '48.bu1.a2', '48.ci1.c1'], 'contains': ['192.bh1.d1', '192.ca1.a1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 412], 'label': '768.87077.96.dh1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919132
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.h1', '48.bi1.b1', '48.bu1.a2', '48.ci1.d1'], 'contains': ['192.bh1.d1', '192.ca1.b1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 412], 'label': '768.87077.96.dh1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919134
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.di1.b1', '48.bm1.b1', '48.bw1.a1', '48.cm1.a1'], 'contains': ['192.bk1.a1', '192.bo1.b1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40, 454], 'label': '768.87077.96.di1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.di1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919135
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.a1', '48.bo1.a1', '48.bx1.a1', '48.cn1.a1'], 'contains': ['192.bl1.a1', '192.bo1.b1', '192.bo2.a1', '192.bz1.b1', '192.bz2.a1', '192.bz2.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 388, 384], 'label': '768.87077.96.dj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919136
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.b1', '48.bo1.b1', '48.bx1.a1', '48.cn1.a1'], 'contains': ['192.bl1.a1', '192.bo1.a1', '192.bo2.a1', '192.bz1.a1', '192.bz2.a1', '192.bz2.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 388, 384], 'label': '768.87077.96.dj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919137
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.c1', '48.bo1.a1', '48.bx1.a1', '48.cn1.b1'], 'contains': ['192.bl1.b1', '192.bo1.b1', '192.bo2.a1', '192.bz1.d1', '192.bz2.b1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452, 384], 'label': '768.87077.96.dj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919138
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.b1', '4.r1.d1'], 'contains': ['16.ca1.a1', '16.ci1.b1', '16.cr1.b1', '16.cr1.d1', '16.dg1.d1', '24.bm1.d1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 16, 6, 412, 384, 256], 'label': '768.87077.8.bm1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919139
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.d1', '48.bo1.b1', '48.bx1.a1', '48.cn1.b1'], 'contains': ['192.bl1.b1', '192.bo1.a1', '192.bo2.a1', '192.bz1.c1', '192.bz2.b1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 384], 'label': '768.87077.96.dj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919140
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dk1.a1', '48.bm1.a1', '48.bw1.a1', '48.cq1.a1'], 'contains': ['192.bm1.a1', '192.bo1.a1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [56, 390], 'label': '768.87077.96.dk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.dk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919141
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dk1.b1', '48.bm1.b1', '48.bw1.a1', '48.cq1.a1'], 'contains': ['192.bm1.a1', '192.bo1.b1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40, 390], 'label': '768.87077.96.dk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.dk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919142
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.a1', '48.bk1.a1', '48.bv1.a1', '48.cw1.a1'], 'contains': ['192.bq1.a1', '192.bu1.a1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [476, 418], 'label': '768.87077.96.dl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919143
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.b1', '48.bk1.b1', '48.bv1.a1', '48.cw1.a1'], 'contains': ['192.bq1.a1', '192.bu1.b1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [460, 418], 'label': '768.87077.96.dl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919144
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.c1', '48.bk1.a1', '48.bv1.a1', '48.cw1.b1'], 'contains': ['192.bq1.b1', '192.bu1.a1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [76, 418], 'label': '768.87077.96.dl1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919145
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.d1', '48.bk1.b1', '48.bv1.a1', '48.cw1.b1'], 'contains': ['192.bq1.b1', '192.bu1.b1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [92, 418], 'label': '768.87077.96.dl1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919146
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.a1', '48.bo1.a1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a1', '192.bu1.b1', '192.bu2.a1', '192.bz1.b1', '192.bz1.d1', '192.bz2.a1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452, 448], 'label': '768.87077.96.dm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919147
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.a2', '48.bo1.a1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a2', '192.bu1.b1', '192.bu2.a1', '192.bz1.b1', '192.bz1.d1', '192.bz2.a2', '192.bz2.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 464], 'label': '768.87077.96.dm1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919148
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.b1', '48.bo1.b1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a1', '192.bu1.a1', '192.bu2.a1', '192.bz1.a1', '192.bz1.c1', '192.bz2.a2', '192.bz2.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 448], 'label': '768.87077.96.dm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919149
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.cd1.a1', '16.ce1.a1', '16.cf1.a1', '16.cg1.a1', '16.cg1.b1', '16.ch1.a1', '16.ch1.b1', '16.cu1.a1', '16.cv1.a1', '16.cx1.a1', '16.cy1.a1', '16.de1.a1', '16.de1.b1', '16.df1.a1', '16.df1.b1', '24.bn1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 256, 2, 452, 448], 'label': '768.87077.8.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919150
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.b2', '48.bo1.b1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a2', '192.bu1.a1', '192.bu2.a1', '192.bz1.a1', '192.bz1.c1', '192.bz2.a1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452, 464], 'label': '768.87077.96.dm1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919151
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.b1.a1', '64.b1.b1', '64.e1.a1', '64.f1.a1', '64.g1.a1', '64.h1.a1', '64.i1.a1', '64.j1.a1', '64.k1.a1', '64.k1.b1', '64.l1.a1', '64.l1.b1'], 'contains': ['256.a1.a1', '384.a1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 256], 'label': '768.87077.128.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.a1.a1', '64.b1.a1', '64.b1.b1'], 'normal_contains': ['256.a1.a1', '384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919152
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.m1.a1', '64.n1.a1', '64.o1.a1', '64.p1.a1', '64.q1.a1', '64.r1.a1', '64.s1.a1', '64.t1.a1'], 'contains': ['256.a1.a1', '384.b1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [80, 256], 'label': '768.87077.128.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.b1.a1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1', '384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919153
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.c1.a1', '64.d1.a1', '64.u1.a1', '64.v1.a1', '64.v1.b1', '64.w1.a1', '64.x1.a1', '64.y1.a1', '64.y1.b1', '64.z1.a1', '64.ba1.a1', '64.bb1.a1', '64.bc1.a1', '64.bc1.b1', '64.bd1.a1'], 'contains': ['256.a1.a1', '384.c1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 256], 'label': '768.87077.128.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.c1.a1', 'normal_contained_in': ['64.a1.a1', '64.d1.a1', '64.c1.a1'], 'normal_contains': ['256.a1.a1', '384.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919154
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '64.m1.a1', '64.u1.a1', '64.be1.a1', '64.bf1.a1', '64.bg1.a1', '64.bg1.b1', '64.bh1.a1', '64.bh1.b1', '64.bi1.a1', '64.bi1.b1'], 'contains': ['256.a1.a1', '384.d1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256], 'label': '768.87077.128.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '128.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919155
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.b1.b1', '64.m1.a1', '64.u1.a1', '64.be1.b1', '64.bf1.b1', '64.bg1.c1', '64.bg1.d1', '64.bh1.c1', '64.bh1.d1', '64.bi1.c1', '64.bi1.d1'], 'contains': ['256.a1.a1', '384.d1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 256], 'label': '768.87077.128.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '128.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919156
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '64.e1.a1', '64.n1.a1', '64.be1.a1', '64.be1.b1', '64.bj1.a1', '64.bk1.a1', '64.bl1.a1', '64.bl1.b1', '64.bm1.a1', '64.bn1.a1', '64.bo1.a1', '64.bo1.b1', '64.bo2.a1', '64.bp1.a1'], 'contains': ['256.a1.a1', '384.e1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384, 256], 'label': '768.87077.128.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '128.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919157
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '64.e1.a1', '64.n1.a1', '64.bf1.a1', '64.bf1.b1', '64.bq1.a1', '64.bq1.b1', '64.br1.a1', '64.bs1.a1', '64.bs1.a2', '64.bt1.a1', '64.bu1.a1', '64.bu1.b1', '64.bu2.a1', '64.bv1.a1'], 'contains': ['256.a1.a1', '384.f1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [448, 256], 'label': '768.87077.128.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '128.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919158
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '64.o1.a1', '64.v1.a1', '64.bg1.a1', '64.bg1.c1', '64.bh1.a1', '64.bh1.c1', '64.bj1.a1', '64.bq1.a1', '64.bw1.a1', '64.bx1.a1'], 'contains': ['256.a1.a1', '384.g1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256], 'label': '768.87077.128.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59919159
    {'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '64.o1.a1', '64.v1.b1', '64.bg1.b1', '64.bg1.d1', '64.bh1.b1', '64.bh1.d1', '64.bj1.a1', '64.bq1.b1', '64.bw1.b1', '64.bx1.b1'], 'contains': ['256.a1.a1', '384.g1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 256], 'label': '768.87077.128.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}