Abstract group data - 384.1685

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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': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 24, 'aut_gen_orders': [24, 6, 2, 12, 4, 12, 4, 4, 4], 'aut_gens': [[1, 2, 96, 192], [45, 194, 96, 192], [77, 14, 96, 192], [73, 62, 96, 192], [221, 86, 96, 192], [265, 82, 336, 192], [261, 230, 144, 192], [21, 22, 144, 192], [1, 250, 336, 192], [261, 22, 336, 192]], 'aut_group': None, 'aut_hash': 5250280118816055344, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6144, 'aut_permdeg': 68, 'aut_perms': [481862537336334030994464565432584162002045268753383007481064338641839135899794075741388610633101, 1035042442638920603244255219387793000396353628844354365281919879467824000021635423135408832110498, 1961743512782886338239334242441924325569748033527926898653195013904981996730020452284244455682852, 74483431906807771645331248610100745173170269184324930830652924111288046120076831216211688014029, 1035142981349202136535484886853506574727557576625733629214295764889687138780991262195060418034303, 850065734891583856808038816638962669454903540642291609826051209422305550692237125721014720057735, 1221225093234803230545393913507043662520799709825307081852879590874461423768305930799559874076941, 1035143030863161205386289189469803408614622573837753241095375211111407940049449779210047481119232, 1184737629829713637900470200410287490158311606193128853180236509672595481834140496637415374523659], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 1, 1], [2, 24, 2, 1], [2, 48, 1, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 2, 2, 1], [4, 24, 2, 1], [4, 48, 1, 1], [6, 2, 1, 3], [6, 4, 2, 1], [8, 2, 2, 2], [8, 4, 2, 1], [12, 2, 2, 2], [12, 4, 2, 1], [16, 4, 4, 2], [24, 2, 4, 2], [24, 4, 4, 1], [48, 4, 8, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_3:((C_2^2\\times D_4).C_2^6)', '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': '96.209', 'autcentquo_hash': 209, 'autcentquo_nilpotent': False, 'autcentquo_order': 96, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_4\\times D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 4, 1], [2, 24, 2], [2, 48, 1], [3, 2, 1], [4, 2, 4], [4, 24, 2], [4, 48, 1], [6, 2, 3], [6, 4, 2], [8, 2, 4], [8, 4, 2], [12, 2, 4], [12, 4, 2], [16, 4, 8], [24, 2, 8], [24, 4, 4], [48, 4, 16]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '96.110', 'commutator_count': 1, 'commutator_label': '48.23', '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', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 1685, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 1, 1], [2, 24, 1, 2], [2, 48, 1, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 2, 2, 1], [4, 24, 1, 2], [4, 48, 1, 1], [6, 2, 1, 3], [6, 4, 2, 1], [8, 2, 2, 2], [8, 4, 2, 1], [12, 2, 2, 2], [12, 4, 2, 1], [16, 4, 4, 2], [24, 2, 4, 2], [24, 4, 4, 1], [48, 4, 8, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2688, 'exponent': 48, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.5', 'frattini_quotient': '24.14', 'hash': 1685, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 24, 2, 1], 'inner_gens': [[1, 94, 144, 192], [5, 2, 288, 192], [49, 194, 96, 192], [1, 2, 96, 192]], 'inner_hash': 110, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': None, 'inner_tex': 'C_2\\times D_{24}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 50], [4, 11]], 'label': '384.1685', 'linC_count': 64, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 18, 'linQ_dim': 12, 'linQ_dim_count': 18, 'linR_count': 48, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D24:D4', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 30, 'number_characteristic_subgroups': 49, 'number_conjugacy_classes': 69, 'number_divisions': 32, 'number_normal_subgroups': 53, 'number_subgroup_autclasses': 180, 'number_subgroup_classes': 230, 'number_subgroups': 1206, 'old_label': None, 'order': 384, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 103], [3, 2], [4, 104], [6, 14], [8, 16], [12, 16], [16, 32], [24, 32], [48, 64]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [44, 64, 12, 24, 64], 'outer_gens': [[45, 194, 96, 192], [77, 14, 96, 192], [269, 34, 96, 192], [265, 82, 336, 192], [261, 230, 144, 192]], 'outer_group': '64.260', 'outer_hash': 260, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 64, 'outer_perms': [1986736653611805572127286873536585493449322997577447755844839679182448143525084640186600, 4248573321081562974757483348235082987157301305128115262018186764078396874081985983294525, 88258542799347234859480487397206113022744197920745816584331082829633510480622828914821828, 10299987449123545953445725898414571157654320497365734703287381590686615183638198831428297, 12314581836396932753785322296413442185076643266575879871284276702021088614108909001624871], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 23, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [4, 7], [8, 4], [16, 2], [32, 1]], 'representations': {'PC': {'code': 638766590480338717162186344691635559940, 'gens': [1, 2, 7, 8], 'pres': [8, 2, 2, 2, 2, 2, 3, 2, 2, 1505, 41, 2210, 66, 2819, 91, 3204, 116, 3077, 8070, 8078]}, 'GLZN': {'d': 2, 'p': 102, 'gens': [1068313, 26600645, 55718623, 5556377, 71101003, 22642593, 107182109, 71421721]}, 'Perm': {'d': 23, 'gens': [222264919858804260505, 1134733241815122338665, 2511647736893337330960, 3596733481700976019200, 4820676990166495907304, 2613828845959813036800, 4820676990166495906560, 3]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{24}:D_4', 'transitive_degree': 192, '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: 104352593
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1685, 'group_order': 384, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 104352604
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 1685, 'group_order': 384, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 192, 'size': 1}
  • id: 104352615
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 1685, 'group_order': 384, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 240, 'size': 1}
  • id: 104352626
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 1685, 'group_order': 384, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 48, 'size': 1}
  • id: 104352637
    {'aut_label': '2D', 'centralizer': '4.a1.a1', 'counter': 5, 'group_counter': 1685, 'group_order': 384, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 96, 'size': 4}
  • id: 104352648
    {'aut_label': '2E', 'centralizer': '24.f1.a1', 'counter': 6, 'group_counter': 1685, 'group_order': 384, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 193, 'size': 24}
  • id: 104352659
    {'aut_label': '2E', 'centralizer': '24.f1.a1', 'counter': 7, 'group_counter': 1685, 'group_order': 384, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 57, 'size': 24}
  • id: 104352660
    {'aut_label': '2G', 'centralizer': '48.g1.a1', 'counter': 8, 'group_counter': 1685, 'group_order': 384, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 79, 'size': 48}
  • id: 104352661
    {'aut_label': '3A', 'centralizer': '2.c1.a1', 'counter': 9, 'group_counter': 1685, 'group_order': 384, 'label': '3A', 'order': 3, 'powers': [9, 1], 'representative': 64, 'size': 2}
  • id: 104352594
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 10, 'group_counter': 1685, 'group_order': 384, 'label': '4A', 'order': 4, 'powers': [4, 10], 'representative': 216, 'size': 2}
  • id: 104352595
    {'aut_label': '4B', 'centralizer': '2.c1.a1', 'counter': 11, 'group_counter': 1685, 'group_order': 384, 'label': '4B', 'order': 4, 'powers': [4, 11], 'representative': 24, 'size': 2}
  • id: 104352596
    {'aut_label': '4C1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 1685, 'group_order': 384, 'label': '4C1', 'order': 4, 'powers': [4, 13], 'representative': 120, 'size': 2}
  • id: 104352597
    {'aut_label': '4C1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 1685, 'group_order': 384, 'label': '4C-1', 'order': 4, 'powers': [4, 12], 'representative': 168, 'size': 2}
  • id: 104352598
    {'aut_label': '4D', 'centralizer': '24.f1.a1', 'counter': 14, 'group_counter': 1685, 'group_order': 384, 'label': '4D', 'order': 4, 'powers': [4, 14], 'representative': 337, 'size': 24}
  • id: 104352599
    {'aut_label': '4D', 'centralizer': '24.f1.a1', 'counter': 15, 'group_counter': 1685, 'group_order': 384, 'label': '4E', 'order': 4, 'powers': [4, 15], 'representative': 169, 'size': 24}
  • id: 104352600
    {'aut_label': '4F', 'centralizer': '48.i1.a1', 'counter': 16, 'group_counter': 1685, 'group_order': 384, 'label': '4F', 'order': 4, 'powers': [3, 16], 'representative': 107, 'size': 48}
  • id: 104352601
    {'aut_label': '6A', 'centralizer': '2.c1.a1', 'counter': 17, 'group_counter': 1685, 'group_order': 384, 'label': '6A', 'order': 6, 'powers': [9, 2], 'representative': 224, 'size': 2}
  • id: 104352602
    {'aut_label': '6B', 'centralizer': '2.c1.a1', 'counter': 18, 'group_counter': 1685, 'group_order': 384, 'label': '6B', 'order': 6, 'powers': [9, 3], 'representative': 208, 'size': 2}
  • id: 104352603
    {'aut_label': '6C', 'centralizer': '2.c1.a1', 'counter': 19, 'group_counter': 1685, 'group_order': 384, 'label': '6C', 'order': 6, 'powers': [9, 4], 'representative': 16, 'size': 2}
  • id: 104352605
    {'aut_label': '6D1', 'centralizer': '4.a1.a1', 'counter': 20, 'group_counter': 1685, 'group_order': 384, 'label': '6D1', 'order': 6, 'powers': [9, 5], 'representative': 128, 'size': 4}
  • id: 104352606
    {'aut_label': '6D1', 'centralizer': '4.a1.a1', 'counter': 21, 'group_counter': 1685, 'group_order': 384, 'label': '6D-1', 'order': 6, 'powers': [9, 5], 'representative': 160, 'size': 4}
  • id: 104352607
    {'aut_label': '8A1', 'centralizer': '2.c1.a1', 'counter': 22, 'group_counter': 1685, 'group_order': 384, 'label': '8A1', 'order': 8, 'powers': [11, 23], 'representative': 12, 'size': 2}
  • id: 104352608
    {'aut_label': '8A1', 'centralizer': '2.c1.a1', 'counter': 23, 'group_counter': 1685, 'group_order': 384, 'label': '8A3', 'order': 8, 'powers': [11, 22], 'representative': 36, 'size': 2}
  • id: 104352609
    {'aut_label': '8B1', 'centralizer': '2.c1.a1', 'counter': 24, 'group_counter': 1685, 'group_order': 384, 'label': '8B1', 'order': 8, 'powers': [11, 25], 'representative': 204, 'size': 2}
  • id: 104352610
    {'aut_label': '8B1', 'centralizer': '2.c1.a1', 'counter': 25, 'group_counter': 1685, 'group_order': 384, 'label': '8B3', 'order': 8, 'powers': [11, 24], 'representative': 228, 'size': 2}
  • id: 104352611
    {'aut_label': '8C1', 'centralizer': '4.a1.a1', 'counter': 26, 'group_counter': 1685, 'group_order': 384, 'label': '8C1', 'order': 8, 'powers': [11, 26], 'representative': 108, 'size': 4}
  • id: 104352612
    {'aut_label': '8C1', 'centralizer': '4.a1.a1', 'counter': 27, 'group_counter': 1685, 'group_order': 384, 'label': '8C-1', 'order': 8, 'powers': [11, 27], 'representative': 180, 'size': 4}
  • id: 104352613
    {'aut_label': '12A1', 'centralizer': '2.c1.a1', 'counter': 28, 'group_counter': 1685, 'group_order': 384, 'label': '12A1', 'order': 12, 'powers': [19, 10], 'representative': 200, 'size': 2}
  • id: 104352614
    {'aut_label': '12A1', 'centralizer': '2.c1.a1', 'counter': 29, 'group_counter': 1685, 'group_order': 384, 'label': '12A5', 'order': 12, 'powers': [19, 10], 'representative': 232, 'size': 2}
  • id: 104352616
    {'aut_label': '12B1', 'centralizer': '2.c1.a1', 'counter': 30, 'group_counter': 1685, 'group_order': 384, 'label': '12B1', 'order': 12, 'powers': [19, 11], 'representative': 8, 'size': 2}
  • id: 104352617
    {'aut_label': '12B1', 'centralizer': '2.c1.a1', 'counter': 31, 'group_counter': 1685, 'group_order': 384, 'label': '12B5', 'order': 12, 'powers': [19, 11], 'representative': 40, 'size': 2}
  • id: 104352618
    {'aut_label': '12C1', 'centralizer': '4.a1.a1', 'counter': 32, 'group_counter': 1685, 'group_order': 384, 'label': '12C1', 'order': 12, 'powers': [19, 12], 'representative': 104, 'size': 4}
  • id: 104352619
    {'aut_label': '12C1', 'centralizer': '4.a1.a1', 'counter': 33, 'group_counter': 1685, 'group_order': 384, 'label': '12C-1', 'order': 12, 'powers': [19, 13], 'representative': 152, 'size': 4}
  • id: 104352620
    {'aut_label': '16A1', 'centralizer': '4.f1.a1', 'counter': 34, 'group_counter': 1685, 'group_order': 384, 'label': '16A1', 'order': 16, 'powers': [22, 35], 'representative': 6, 'size': 4}
  • id: 104352621
    {'aut_label': '16A1', 'centralizer': '4.f1.a1', 'counter': 35, 'group_counter': 1685, 'group_order': 384, 'label': '16A3', 'order': 16, 'powers': [23, 37], 'representative': 18, 'size': 4}
  • id: 104352622
    {'aut_label': '16A1', 'centralizer': '4.f1.a1', 'counter': 36, 'group_counter': 1685, 'group_order': 384, 'label': '16A5', 'order': 16, 'powers': [23, 34], 'representative': 30, 'size': 4}
  • id: 104352623
    {'aut_label': '16A1', 'centralizer': '4.f1.a1', 'counter': 37, 'group_counter': 1685, 'group_order': 384, 'label': '16A7', 'order': 16, 'powers': [22, 36], 'representative': 42, 'size': 4}
  • id: 104352624
    {'aut_label': '16B1', 'centralizer': '4.g1.a1', 'counter': 38, 'group_counter': 1685, 'group_order': 384, 'label': '16B1', 'order': 16, 'powers': [24, 40], 'representative': 294, 'size': 4}
  • id: 104352625
    {'aut_label': '16B1', 'centralizer': '4.g1.a1', 'counter': 39, 'group_counter': 1685, 'group_order': 384, 'label': '16B-1', 'order': 16, 'powers': [24, 41], 'representative': 186, 'size': 4}
  • id: 104352627
    {'aut_label': '16B1', 'centralizer': '4.g1.a1', 'counter': 40, 'group_counter': 1685, 'group_order': 384, 'label': '16B3', 'order': 16, 'powers': [25, 39], 'representative': 114, 'size': 4}
  • id: 104352628
    {'aut_label': '16B1', 'centralizer': '4.g1.a1', 'counter': 41, 'group_counter': 1685, 'group_order': 384, 'label': '16B-3', 'order': 16, 'powers': [25, 38], 'representative': 366, 'size': 4}
  • id: 104352629
    {'aut_label': '24A1', 'centralizer': '2.c1.a1', 'counter': 42, 'group_counter': 1685, 'group_order': 384, 'label': '24A1', 'order': 24, 'powers': [30, 22], 'representative': 4, 'size': 2}
  • id: 104352630
    {'aut_label': '24A1', 'centralizer': '2.c1.a1', 'counter': 43, 'group_counter': 1685, 'group_order': 384, 'label': '24A5', 'order': 24, 'powers': [31, 23], 'representative': 20, 'size': 2}
  • id: 104352631
    {'aut_label': '24A1', 'centralizer': '2.c1.a1', 'counter': 44, 'group_counter': 1685, 'group_order': 384, 'label': '24A7', 'order': 24, 'powers': [31, 22], 'representative': 28, 'size': 2}
  • id: 104352632
    {'aut_label': '24A1', 'centralizer': '2.c1.a1', 'counter': 45, 'group_counter': 1685, 'group_order': 384, 'label': '24A11', 'order': 24, 'powers': [30, 23], 'representative': 44, 'size': 2}
  • id: 104352633
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 46, 'group_counter': 1685, 'group_order': 384, 'label': '24B1', 'order': 24, 'powers': [30, 24], 'representative': 196, 'size': 2}
  • id: 104352634
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 47, 'group_counter': 1685, 'group_order': 384, 'label': '24B5', 'order': 24, 'powers': [31, 25], 'representative': 212, 'size': 2}
  • id: 104352635
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 48, 'group_counter': 1685, 'group_order': 384, 'label': '24B7', 'order': 24, 'powers': [31, 24], 'representative': 220, 'size': 2}
  • id: 104352636
    {'aut_label': '24B1', 'centralizer': '2.c1.a1', 'counter': 49, 'group_counter': 1685, 'group_order': 384, 'label': '24B11', 'order': 24, 'powers': [30, 25], 'representative': 236, 'size': 2}
  • id: 104352638
    {'aut_label': '24C1', 'centralizer': '4.a1.a1', 'counter': 50, 'group_counter': 1685, 'group_order': 384, 'label': '24C1', 'order': 24, 'powers': [30, 26], 'representative': 100, 'size': 4}
  • id: 104352639
    {'aut_label': '24C1', 'centralizer': '4.a1.a1', 'counter': 51, 'group_counter': 1685, 'group_order': 384, 'label': '24C-1', 'order': 24, 'powers': [30, 27], 'representative': 148, 'size': 4}
  • id: 104352640
    {'aut_label': '24C1', 'centralizer': '4.a1.a1', 'counter': 52, 'group_counter': 1685, 'group_order': 384, 'label': '24C5', 'order': 24, 'powers': [31, 27], 'representative': 116, 'size': 4}
  • id: 104352641
    {'aut_label': '24C1', 'centralizer': '4.a1.a1', 'counter': 53, 'group_counter': 1685, 'group_order': 384, 'label': '24C-5', 'order': 24, 'powers': [31, 26], 'representative': 164, 'size': 4}
  • id: 104352642
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 54, 'group_counter': 1685, 'group_order': 384, 'label': '48A1', 'order': 48, 'powers': [42, 34], 'representative': 2, 'size': 4}
  • id: 104352643
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 55, 'group_counter': 1685, 'group_order': 384, 'label': '48A5', 'order': 48, 'powers': [43, 36], 'representative': 10, 'size': 4}
  • id: 104352644
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 56, 'group_counter': 1685, 'group_order': 384, 'label': '48A7', 'order': 48, 'powers': [44, 37], 'representative': 14, 'size': 4}
  • id: 104352645
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 57, 'group_counter': 1685, 'group_order': 384, 'label': '48A11', 'order': 48, 'powers': [45, 36], 'representative': 22, 'size': 4}
  • id: 104352646
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 58, 'group_counter': 1685, 'group_order': 384, 'label': '48A13', 'order': 48, 'powers': [45, 35], 'representative': 26, 'size': 4}
  • id: 104352647
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 59, 'group_counter': 1685, 'group_order': 384, 'label': '48A17', 'order': 48, 'powers': [44, 34], 'representative': 34, 'size': 4}
  • id: 104352649
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 60, 'group_counter': 1685, 'group_order': 384, 'label': '48A19', 'order': 48, 'powers': [43, 35], 'representative': 38, 'size': 4}
  • id: 104352650
    {'aut_label': '48A1', 'centralizer': '4.f1.a1', 'counter': 61, 'group_counter': 1685, 'group_order': 384, 'label': '48A23', 'order': 48, 'powers': [42, 37], 'representative': 50, 'size': 4}
  • id: 104352651
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 62, 'group_counter': 1685, 'group_order': 384, 'label': '48B1', 'order': 48, 'powers': [46, 38], 'representative': 98, 'size': 4}
  • id: 104352652
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 63, 'group_counter': 1685, 'group_order': 384, 'label': '48B-1', 'order': 48, 'powers': [46, 39], 'representative': 146, 'size': 4}
  • id: 104352653
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 64, 'group_counter': 1685, 'group_order': 384, 'label': '48B5', 'order': 48, 'powers': [47, 40], 'representative': 106, 'size': 4}
  • id: 104352654
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 65, 'group_counter': 1685, 'group_order': 384, 'label': '48B-5', 'order': 48, 'powers': [47, 41], 'representative': 154, 'size': 4}
  • id: 104352655
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 66, 'group_counter': 1685, 'group_order': 384, 'label': '48B7', 'order': 48, 'powers': [48, 38], 'representative': 130, 'size': 4}
  • id: 104352656
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 67, 'group_counter': 1685, 'group_order': 384, 'label': '48B-7', 'order': 48, 'powers': [48, 39], 'representative': 178, 'size': 4}
  • id: 104352657
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 68, 'group_counter': 1685, 'group_order': 384, 'label': '48B11', 'order': 48, 'powers': [49, 41], 'representative': 122, 'size': 4}
  • id: 104352658
    {'aut_label': '48B1', 'centralizer': '4.g1.a1', 'counter': 69, 'group_counter': 1685, 'group_order': 384, 'label': '48B-11', 'order': 48, 'powers': [49, 40], 'representative': 170, 'size': 4}
• 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: 2833259
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1a', '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], 'schur_index': 1}
  • id: 2833270
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1b', '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], 'schur_index': 1}
  • id: 2833281
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1c', '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], 'schur_index': 1}
  • id: 2833285
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1d', '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], 'schur_index': 1}
  • id: 2833286
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1e', '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], 'schur_index': 1}
  • id: 2833287
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1f', '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], 'schur_index': 1}
  • id: 2833288
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1g', '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], 'schur_index': 1}
  • id: 2833289
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.1h', '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], 'schur_index': 1}
  • id: 2833290
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 0, 0, 0, -1, 2, 2, 2, 2, 0, 0, 0, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -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: 2833260
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, -2, 2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 2, -2, -2, 0, 0, 2, 2, -2, -2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833261
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, -2, -2, 2, 0, 2, -2, -2, 0, 0, -2, -2, 2, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833262
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, -2, 2, -2, 0, 2, -2, -2, 0, 0, -2, -2, 2, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833263
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 2, -2, -2, 0, 0, 2, 2, -2, -2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833264
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, 0, 0, 2, -2, -2, 2, 2, 0, 0, 0, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833265
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2g', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833266
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, 0, 0, -1, -2, -2, 2, 2, 0, 0, 0, -1, -1, -1, 1, 1, 2, 2, 2, 2, -2, -2, -1, -1, -1, -1, 1, 1, -2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -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: 2833267
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, 0, 0, -1, -2, -2, 2, 2, 0, 0, 0, -1, -1, -1, 1, 1, 2, 2, 2, 2, -2, -2, -1, -1, -1, -1, 1, 1, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, -1, -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: 2833268
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 0, 0, 0, -1, 2, 2, 2, 2, 0, 0, 0, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -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: 2833269
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2k', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, 0, 0, 0, 4, 4, 4, -4, -4, 0, 0, 0, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
  • id: 2833271
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2l', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 0, 0, 0, 4, -4, -4, -4, -4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
  • id: 2833272
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2m', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, 0, 0, 0, -2, -4, -4, 4, 4, 0, 0, 0, -2, -2, -2, 2, 2, -4, -4, -4, -4, 4, 4, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833273
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2n', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 0, 0, 0, -2, 4, 4, 4, 4, 0, 0, 0, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833278
    {'cdim': 4, 'counter': 27, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.4a', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 2833279
    {'cdim': 4, 'counter': 28, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.4b', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, 0, 0, 4, -4, 0, 0, 0, -2, 2, 2, 0, 0, -4, -4, 4, 4, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833280
    {'cdim': 4, 'counter': 29, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.4c', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, -2, 0, 0, 4, -4, 0, 0, 0, -2, 2, 2, 0, 0, 4, 4, -4, -4, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833274
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2o', 'multiplicity': 4, 'nt': [24, 34], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, 0, 0, 0, -4, 8, 8, -8, -8, 0, 0, 0, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 2833275
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2p', 'multiplicity': 4, 'nt': [24, 34], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 0, 0, 0, -4, -8, -8, -8, -8, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
  • id: 2833282
    {'cdim': 4, 'counter': 30, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.4d', 'multiplicity': 2, 'nt': [16, 134], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833283
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.4e', 'multiplicity': 2, 'nt': [24, 107], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, 0, 0, -8, 8, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
  • id: 2833276
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2q', 'multiplicity': 8, 'nt': [32, 303], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 2833284
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.4f', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 2833277
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '384.1685', 'group_order': 384, 'image': None, 'label': '384.1685.2r', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, -32, 32, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3758691
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 384, 'label': '384.1685.1a', '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]]]}
  • id: 3758702
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 192, 'label': '384.1685.1b', '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]]]}
  • id: 3758713
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 192, 'label': '384.1685.1c', '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]]]}
  • id: 3758724
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 192, 'label': '384.1685.1d', '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]]]}
  • id: 3758735
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 192, 'label': '384.1685.1e', '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]]]}
  • id: 3758746
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 192, 'label': '384.1685.1f', '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]]]}
  • id: 3758757
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 192, 'label': '384.1685.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 3758758
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 192, 'label': '384.1685.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 3758759
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 64, 'label': '384.1685.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3758692
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 96, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.d1.b1', 'kernel_order': 48, 'label': '384.1685.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758693
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 96, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1.b1', 'kernel_order': 48, 'label': '384.1685.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758694
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 96, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1.a1', 'kernel_order': 48, 'label': '384.1685.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758695
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 96, 'counter': 13, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.d1.a1', 'kernel_order': 48, 'label': '384.1685.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758696
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 96, 'counter': 14, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 48, 'label': '384.1685.2f', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758697
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 96, 'counter': 15, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 48, 'label': '384.1685.2g', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758698
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 16, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1.a1', 'kernel_order': 32, 'label': '384.1685.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 3758699
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 32, 'label': '384.1685.2i', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 3758700
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 32, 'label': '384.1685.2j', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 3758701
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 48, 'counter': 19, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.c1.a1', 'kernel_order': 24, 'label': '384.1685.2k1', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 3758703
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 48, 'counter': 20, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.c1.a1', 'kernel_order': 24, 'label': '384.1685.2k2', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 3758704
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 48, 'counter': 21, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.a1.a1', 'kernel_order': 24, 'label': '384.1685.2l1', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 3758705
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 48, 'counter': 22, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.a1.a1', 'kernel_order': 24, 'label': '384.1685.2l2', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 3758706
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 32, 'counter': 23, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1.a1', 'kernel_order': 16, 'label': '384.1685.2m1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 3758707
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 32, 'counter': 24, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1.a1', 'kernel_order': 16, 'label': '384.1685.2m2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 3758708
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 32, 'counter': 25, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1.a1', 'kernel_order': 16, 'label': '384.1685.2n1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 3758709
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 32, 'counter': 26, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1.a1', 'kernel_order': 16, 'label': '384.1685.2n2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 3758710
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 27, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.c1.a1', 'kernel_order': 8, 'label': '384.1685.2o1', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 3758711
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 28, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.c1.a1', 'kernel_order': 8, 'label': '384.1685.2o2', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 3758712
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 29, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.c1.a1', 'kernel_order': 8, 'label': '384.1685.2o3', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 3758714
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 30, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.c1.a1', 'kernel_order': 8, 'label': '384.1685.2o4', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 3758715
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 31, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.a1', 'kernel_order': 8, 'label': '384.1685.2p1', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 3758716
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 32, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.a1', 'kernel_order': 8, 'label': '384.1685.2p2', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 3758717
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 33, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.a1', 'kernel_order': 8, 'label': '384.1685.2p3', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 3758718
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 34, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.7', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.a1', 'kernel_order': 8, 'label': '384.1685.2p4', 'nt': [24, 34], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 3758719
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 35, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q1', 'nt': [32, 303], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 5]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5]]]}
  • id: 3758720
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 36, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q2', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[-1, 1], [-1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5]]]}
  • id: 3758721
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 37, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q3', 'nt': [32, 303], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5]]]}
  • id: 3758722
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 38, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q4', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[1, 1], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5]]]}
  • id: 3758723
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 39, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q5', 'nt': [32, 303], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 7]]]}
  • id: 3758725
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 40, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q6', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[1, 1], [1, 7]]]}
  • id: 3758726
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 41, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q7', 'nt': [32, 303], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5]], [[1, 1], [1, -1]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[1, 1], [1, 7]]]}
  • id: 3758727
    {'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 42, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.189', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1.a1', 'kernel_order': 6, 'label': '384.1685.2q8', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 7]]]}
  • id: 3758728
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 43, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 12]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 11], [-1, 13]], [[1, 1], [1, -1]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [-1, -1]], [[1, 11], [1, 13]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]]]}
  • id: 3758738
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 52, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r10', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 12]], [[1, 12]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[1, 11], [1, 13]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 11], [-1, -11]], [[-1, 1], [1, 7], [1, 9]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 7], [-1, -7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 7], [1, -7]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 7], [1, 15]]]}
  • id: 3758739
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 53, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r11', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12]], [[-1, 12]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[1, 11], [1, 13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 7], [-1, 9]], [[1, 11], [1, -11]], [[-1, 1], [1, 7], [1, 9]], [[1, 3], [-1, 5], [-1, 11]], [[1, 7], [1, -7]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 7], [-1, -7]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 7], [1, 15]]]}
  • id: 3758740
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 54, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r12', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 12]], [[1, 12]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[-1, 11], [-1, 13]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 7], [1, 9]], [[1, 11], [1, -11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 3], [1, 5], [1, 11]], [[1, 7], [1, -7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 7], [-1, -7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, 13]], [[-1, 1], [1, 7], [-1, 15]]]}
  • id: 3758741
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 55, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r13', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12]], [[-1, 12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[-1, 3], [1, 5], [1, 11]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[1, 5], [1, -5]], [[-1, 11], [-1, 13]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [1, 15]], [[1, 11], [1, 13]]]}
  • id: 3758742
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 56, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r14', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 12]], [[1, 12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[1, 1], [-1, 7], [1, 15]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 7], [1, -7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 5], [1, -5]], [[1, 11], [1, 13]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 11], [-1, 13]]]}
  • id: 3758743
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 57, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12]], [[-1, 12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[1, 1], [-1, 7], [1, 15]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[-1, 5], [-1, -5]], [[1, 11], [1, 13]], [[1, 5], [1, -5]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 11], [-1, 13]]]}
  • id: 3758744
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 58, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r16', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 12]], [[1, 12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[-1, 1], [1, 7], [-1, 15]], [[1, 7], [1, -7]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 7], [-1, -7]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, 13]], [[1, 5], [1, -5]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [1, 15]], [[1, 11], [1, 13]]]}
  • id: 3758729
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 44, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12]], [[1, 12]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 11], [-1, -11]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 11], [1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 7], [1, 15]], [[1, 11], [1, 13]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, 13]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [1, 7], [1, 9]]]}
  • id: 3758730
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 45, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r3', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 12]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 5], [1, -5]], [[1, 1], [-1, 7], [1, 15]], [[1, 11], [1, 13]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [1, -1]], [[-1, 11], [-1, 13]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [1, 7], [1, 9]]]}
  • id: 3758731
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 46, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r4', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12]], [[1, 12]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 3], [1, 5], [1, 11]], [[1, 11], [1, -11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 11], [-1, -11]], [[1, 1], [-1, 7], [1, 15]], [[1, 5], [1, -5]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 11], [-1, 13]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [1, -1]], [[1, 11], [1, 13]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]]]}
  • id: 3758732
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 47, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r5', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, 13]], [[-1, 7], [-1, -7]], [[1, 11], [1, 13]], [[-1, 1], [1, 7], [-1, 15]], [[1, 11], [1, -11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, -11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 3], [-1, 5], [-1, 11]]]}
  • id: 3758733
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 48, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r6', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12]], [[1, 12]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 11], [1, 13]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 7], [1, 15]], [[1, 11], [1, -11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 11], [-1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 3], [1, 5], [1, 11]]]}
  • id: 3758734
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 49, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r7', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 11], [1, 13]], [[1, 7], [1, -7]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 7], [1, 15]], [[-1, 11], [-1, -11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 3], [1, 5], [1, 11]]]}
  • id: 3758736
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 50, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r8', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 12]], [[1, 12]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 11], [-1, 13]], [[1, 7], [1, -7]], [[1, 11], [1, 13]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 11], [-1, -11]], [[-1, 3], [1, 5], [1, 11]], [[1, 11], [1, -11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 3], [-1, 5], [-1, 11]]]}
  • id: 3758737
    {'center': '48.c1.a1', 'center_index': 48, 'center_order': 8, 'counter': 51, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.463', 'image_order': 192, 'indicator': 0, 'kernel': '192.a1.a1', 'kernel_order': 2, 'label': '384.1685.2r9', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12]], [[-1, 12]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[1, 10], [1, 14]], [[-1, 11], [-1, 13]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [1, 7], [1, 9]], [[-1, 11], [-1, -11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 3], [1, 5], [1, 11]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 7], [1, 15]], [[1, 7], [1, -7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, 13]], [[-1, 1], [1, 7], [-1, 15]]]}
  • id: 3758745
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 24, 'counter': 59, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1.a1', 'kernel_order': 12, 'label': '384.1685.4a', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 3758747
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 16, 'counter': 60, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.e1.a1', 'kernel_order': 8, 'label': '384.1685.4b', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758748
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 16, 'counter': 61, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.d1.a1', 'kernel_order': 8, 'label': '384.1685.4c', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758749
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 12, 'counter': 62, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.190', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 6, 'label': '384.1685.4d1', 'nt': [16, 134], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 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, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -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]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -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]]]}
  • id: 3758750
    {'center': '32.a1.a1', 'center_index': 32, 'center_order': 12, 'counter': 63, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '64.190', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 6, 'label': '384.1685.4d2', 'nt': [16, 134], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 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, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -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]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -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]]]}
  • id: 3758751
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 8, 'counter': 64, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [-3, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '96.115', 'image_order': 96, 'indicator': 1, 'kernel': '96.b1.a1', 'kernel_order': 4, 'label': '384.1685.4e1', 'nt': [24, 107], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -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]]]}
  • id: 3758752
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 8, 'counter': 65, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [-3, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '96.115', 'image_order': 96, 'indicator': 1, 'kernel': '96.b1.a1', 'kernel_order': 4, 'label': '384.1685.4e2', 'nt': [24, 107], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -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]]]}
  • id: 3758753
    {'center': '96.a1.a1', 'center_index': 96, 'center_order': 4, 'counter': 66, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.467', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.a1', 'kernel_order': 2, 'label': '384.1685.4f1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758754
    {'center': '96.a1.a1', 'center_index': 96, 'center_order': 4, 'counter': 67, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.467', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.a1', 'kernel_order': 2, 'label': '384.1685.4f2', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -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]]]}
  • id: 3758755
    {'center': '96.a1.a1', 'center_index': 96, 'center_order': 4, 'counter': 68, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.467', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.a1', 'kernel_order': 2, 'label': '384.1685.4f3', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 3758756
    {'center': '96.a1.a1', 'center_index': 96, 'center_order': 4, 'counter': 69, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '384.1685', 'group_counter': 1685, 'group_order': 384, 'image': None, 'image_isoclass': '192.467', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.a1', 'kernel_order': 2, 'label': '384.1685.4f4', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -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]]]}
• 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: 54344728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 384, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '384.1685.1.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': '384.1685', 'subgroup_hash': 1685, 'subgroup_order': 384, 'subgroup_tex': 'D_{24}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.2.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': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1300', 'subgroup_hash': 1300, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.674', 'subgroup_hash': 674, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 192, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.154', 'subgroup_hash': 154, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.2.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': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.461', 'subgroup_hash': 461, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times D_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, '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': '192.68', 'subgroup_hash': 68, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.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': '192.462', 'subgroup_hash': 462, 'subgroup_order': 192, 'subgroup_tex': 'C_{16}:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.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': '192.62', 'subgroup_hash': 62, 'subgroup_order': 192, 'subgroup_tex': 'C_6.Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 54344947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '384.1685.3.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': '128.918', 'subgroup_hash': 918, 'subgroup_order': 128, 'subgroup_tex': 'D_8:D_4', 'supersolvable': True, 'sylow': 2}
  • id: 54344729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.4.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': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.4.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': '4.2', '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': '96.110', 'subgroup_hash': 110, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times D_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.4.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': '4.2', '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': '96.110', 'subgroup_hash': 110, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times D_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.4.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': '4.2', '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': '96.112', 'subgroup_hash': 112, 'subgroup_order': 96, 'subgroup_tex': 'C_6:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.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': '96.25', 'subgroup_hash': 25, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344784
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344795
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '96.208', 'subgroup_hash': 208, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '96.137', 'subgroup_hash': 137, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.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': '96.109', 'subgroup_hash': 109, 'subgroup_order': 96, 'subgroup_tex': 'C_8:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '96.28', 'subgroup_hash': 28, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.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': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.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': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '96.6', 'subgroup_hash': 6, 'subgroup_order': 96, 'subgroup_tex': 'D_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.n1.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': '96.6', 'subgroup_hash': 6, 'subgroup_order': 96, 'subgroup_tex': 'D_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '96.7', 'subgroup_hash': 7, 'subgroup_order': 96, 'subgroup_tex': 'C_{48}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.4.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '96.7', 'subgroup_hash': 7, 'subgroup_order': 96, 'subgroup_tex': 'C_{48}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 64, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.6.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': '64.29', 'subgroup_hash': 29, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.6.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': '64.253', 'subgroup_hash': 253, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.6.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': '64.147', 'subgroup_hash': 147, 'subgroup_order': 64, 'subgroup_tex': 'C_8:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.6.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': '64.186', 'subgroup_hash': 186, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times D_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.6.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': '64.38', 'subgroup_hash': 38, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 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': '64.187', 'subgroup_hash': 187, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times \\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 54344887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 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': '64.39', 'subgroup_hash': 39, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344888
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.8.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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344889
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 48, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.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': ['D', 'L1', 'D1', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344890
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.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': '48.7', 'subgroup_hash': 7, 'subgroup_order': 48, 'subgroup_tex': 'D_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.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': '48.7', 'subgroup_hash': 7, 'subgroup_order': 48, 'subgroup_tex': 'D_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.8', 'subgroup_hash': 8, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.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': '48.8', 'subgroup_hash': 8, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344898
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.n1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1.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': 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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.o1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1.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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.o1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1.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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344911
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344912
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.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': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.r1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.r1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '48.7', 'subgroup_hash': 7, 'subgroup_order': 48, 'subgroup_tex': 'D_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '48.7', 'subgroup_hash': 7, 'subgroup_order': 48, 'subgroup_tex': 'D_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '48.7', 'subgroup_hash': 7, 'subgroup_order': 48, 'subgroup_tex': 'D_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.8.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '48.8', 'subgroup_hash': 8, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344922
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.8.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344923
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 68, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.8.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 54344924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.12.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': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344926
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.9', 'subgroup_hash': 9, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.41', 'subgroup_hash': 41, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.14', 'subgroup_hash': 14, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.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': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 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': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.18', 'subgroup_hash': 18, 'subgroup_order': 32, 'subgroup_tex': 'D_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1.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': '32.18', 'subgroup_hash': 18, 'subgroup_order': 32, 'subgroup_tex': 'D_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.19', 'subgroup_hash': 19, 'subgroup_order': 32, 'subgroup_tex': '\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 54344944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.12.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.19', 'subgroup_hash': 19, 'subgroup_order': 32, 'subgroup_tex': '\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 54344945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 24, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.16.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': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', '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: 54344946
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344948
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 24, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', '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: 54344949
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.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': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344950
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 92, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344951
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344952
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344954
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.j1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1.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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.k1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1.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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.k1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1.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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344733
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344734
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344735
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 54344736
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1.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': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 54344737
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1.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': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 54344738
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1.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': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 54344739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.p1.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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.16.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344748
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.16.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 54344749
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 118, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.24.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': '24.6', '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': ['U2'], '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: 54344750
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344752
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 120, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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: 54344754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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: 54344755
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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: 54344756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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: 54344757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': 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: 54344758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.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': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.l1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.m1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.m1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 54344768
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344769
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1.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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.p1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1.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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.p1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1.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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.24.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344783
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 149, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.24.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344785
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.24.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 54344786
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 151, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_8', '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: 54344787
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 152, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344788
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 153, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.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': ['L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344789
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344790
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344791
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344792
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344793
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344794
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344796
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344797
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344798
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344799
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344800
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 6, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344801
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.32.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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 54344802
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344803
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.32.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344804
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 8, 'counter': 168, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.48.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': '48.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}', '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: 54344805
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 8, 'counter': 169, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344807
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 8, 'counter': 170, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}', '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: 54344808
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 8, 'counter': 171, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344809
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 8, 'counter': 172, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344810
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 54344811
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 54344812
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344813
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.j1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.k1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k1.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.k1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k1.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344821
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344822
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344823
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344824
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344825
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344826
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.48.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344836
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 197, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.48.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 54344837
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 6, 'counter': 198, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.64.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': '64.189', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 189, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}:C_2', '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: 54344838
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 6, 'counter': 199, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.64.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': '64.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 190, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}:C_2', '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: 54344841
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 6, 'counter': 200, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.64.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': '64.128', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 128, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C6'], '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: 54344842
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 201, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.64.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 54344843
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.64.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 54344844
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.64.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 54344845
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 3, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.64.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 54344846
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 205, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.1685.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.110', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 110, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{24}', '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: 54344847
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 4, 'counter': 206, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 115, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344848
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 4, 'counter': 207, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.89', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 89, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344849
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344850
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344852
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344853
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344854
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344855
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344856
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 214, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.96.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344857
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344858
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344859
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344860
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.1685.96.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 54344861
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 219, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.96.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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344863
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.96.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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344864
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.96.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 54344865
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 3, 'counter': 222, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '384.1685.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.918', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 918, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:D_4', 'simple': True, 'solvable': True, 'special_labels': ['L4', 'C7'], '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: 54344866
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 2, 'counter': 223, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.463', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 463, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{48}:C_2', '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: 54344867
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 2, 'counter': 224, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.192.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.467', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 467, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}:D_6', '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: 54344868
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 2, 'counter': 225, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.1685.192.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.291', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 291, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:D_{24}', '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: 54344869
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.192.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, '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: 54344870
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.192.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, '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': 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: 54344871
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.192.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, '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: 54344872
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.1685.192.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, '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': 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: 54344874
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.1685', 'ambient_counter': 1685, 'ambient_order': 384, 'ambient_tex': 'D_{24}:D_4', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 1, 'counter': 230, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '384.1685.384.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '384.1685', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1685, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U4', 'D2', 'C8'], '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: 54344728
    {'ambient': '384.1685', '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': '96.a1.a1', 'complements': ['384.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '3.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2163, 4081, 1908, 6345, 7933, 3692, 1861, 5607], 'generators': [1, 192, 24, 6, 84, 32, 48, 96], 'label': '384.1685.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '96.110', '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': '96.110'}
  • id: 54344729
    {'ambient': '384.1685', 'aut_centralizer_order': 192, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '32.51', 'aut_weyl_index': 192, 'centralizer': '4.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.p1.a1', '8.q1.a1', '12.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3813, 7659, 3438, 2789, 6025, 7544, 3219, 2629], 'generators': [96, 48, 72, 84, 192, 32], 'label': '384.1685.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344730
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.n1.a1', '8.o1.b1'], 'contains': ['32.k1.a1', '32.l1.a1', '32.o1.b1', '48.k1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7562, -1, 7858, -1, 2727, -1, 7957, -1], 'generators': [277, 96, 48, 32], 'label': '384.1685.16.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.k1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344731
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.n1.a1', '8.o1.c1'], 'contains': ['32.k1.a1', '32.l1.b1', '32.o1.a1', '48.k1.c1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7562, -1, 7435, -1, 2727, -1, 7277, -1], 'generators': [85, 96, 48, 32], 'label': '384.1685.16.k1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.k1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344732
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.n1.a2', '8.o1.d1'], 'contains': ['32.k1.a1', '32.l1.b1', '32.o1.b1', '48.k1.d1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7562, -1, 7333, -1, 2727, -1, 7720, -1], 'generators': [1, 96, 48, 32], 'label': '384.1685.16.k1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.k1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344733
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.n1.a1', '8.n1.a2'], 'contains': ['32.b1.a1', '32.k1.a1', '32.n1.a1', '48.l1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7146, -1, 8148, -1, 3163, -1, 7556, -1], 'generators': [96, 216, 32, 48], 'label': '384.1685.16.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.l1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344734
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.o1.a1', '8.o1.b1', '8.o1.c1', '8.o1.d1', '8.p1.a1', '8.q1.a1'], 'contains': ['32.c1.a1', '32.k1.a1', '32.n1.a1', '48.m1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5677, -1, 6225, -1, 4420, -1, 5059, -1], 'generators': [96, 24, 32, 48], 'label': '384.1685.16.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.m1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344735
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.n1.a1', '8.o1.a1'], 'contains': ['32.l1.a1', '32.n1.a1', '32.o1.a1', '48.n1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7382, -1, 7710, -1, 2916, -1, 6238, -1], 'generators': [193, 120, 48, 32], 'label': '384.1685.16.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.n1.a1', 'projective_image': '192.291', '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': '12.4'}
  • id: 54344736
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.n1.a2', '8.o1.b1'], 'contains': ['32.l1.a1', '32.n1.a1', '32.o1.b1', '48.n1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7382, -1, 7561, -1, 2916, -1, 6797, -1], 'generators': [277, 120, 48, 32], 'label': '384.1685.16.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.n1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344737
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.n1.a2', '8.o1.c1'], 'contains': ['32.l1.b1', '32.n1.a1', '32.o1.a1', '48.n1.c1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7382, -1, 6864, -1, 2916, -1, 5891, -1], 'generators': [85, 120, 48, 32], 'label': '384.1685.16.n1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.n1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344738
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.n1.a1', '8.o1.d1'], 'contains': ['32.l1.b1', '32.n1.a1', '32.o1.b1', '48.n1.d1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7382, -1, 7983, -1, 2916, -1, 6065, -1], 'generators': [1, 120, 48, 32], 'label': '384.1685.16.n1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.n1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344739
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.n1.a1', '8.n1.a2'], 'contains': ['32.b1.a1', '32.l1.a1', '32.l1.b1', '48.o1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6826, -1, 6988, -1, 3373, -1, 7394, -1], 'generators': [1, 216, 48, 32], 'label': '384.1685.16.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.o1.a1', 'projective_image': '192.291', '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': '12.4'}
  • id: 54344740
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '8.i1.a1', '8.s1.a1', '12.g1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3133, 3122, 2187, 7417, 6466, 489, 2571, 3704], 'generators': [1, 32, 48, 84, 192, 24], 'label': '384.1685.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '96.110', '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': '48.7'}
  • id: 54344741
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.i1.a1', '8.o1.a1', '8.o1.b1', '8.r1.a1', '8.r1.b1', '8.s1.a1'], 'contains': ['32.c1.a1', '32.l1.a1', '48.p1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5085, -1, 5293, -1, 5387, -1, 4897, -1], 'generators': [193, 24, 48, 32], 'label': '384.1685.16.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.p1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344742
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.i1.a1', '8.o1.c1', '8.o1.d1', '8.r1.c1', '8.r1.d1', '8.s1.a1'], 'contains': ['32.c1.a1', '32.l1.b1', '48.p1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5085, -1, 4597, -1, 5387, -1, 4663, -1], 'generators': [1, 24, 48, 32], 'label': '384.1685.16.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.p1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344743
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1'], 'contains': ['32.b1.a1', '32.m1.a1', '48.q1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8349, -1, 8685, -1, 4630, -1, 8779, -1], 'generators': [7, 216, 48, 32], 'label': '384.1685.16.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.q1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344744
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.r1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '8.t1.a1', '8.u1.a1'], 'contains': ['32.c1.a1', '32.m1.a1', '48.r1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4539, -1, 3563, -1, 7353, -1, 2811, -1], 'generators': [7, 24, 48, 32], 'label': '384.1685.16.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '16.r1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344745
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '8.n1.a1', '8.n1.a2'], 'contains': ['32.b1.a1', '32.o1.a1', '32.o1.b1', '48.s1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6682, -1, 7088, -1, 3677, -1, 6943, -1], 'generators': [97, 216, 48, 32], 'label': '384.1685.16.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.s1.a1', 'projective_image': '192.291', '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': '12.4'}
  • id: 54344746
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.t1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.l1.a1', '8.o1.a1', '8.o1.c1', '8.r1.a1', '8.r1.c1', '8.v1.a1'], 'contains': ['32.c1.a1', '32.o1.a1', '48.t1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5229, -1, 4697, -1, 5920, -1, 4547, -1], 'generators': [181, 24, 48, 32], 'label': '384.1685.16.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.t1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344747
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '16.t1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '8.l1.a1', '8.o1.b1', '8.o1.d1', '8.r1.b1', '8.r1.d1', '8.v1.a1'], 'contains': ['32.c1.a1', '32.o1.b1', '48.t1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5229, -1, 5566, -1, 5920, -1, 4780, -1], 'generators': [97, 24, 48, 32], 'label': '384.1685.16.t1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.t1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.t1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344748
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '16.u1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.p1.a1', '8.q1.a1', '8.r1.a1', '8.r1.b1', '8.r1.c1', '8.r1.d1'], 'contains': ['32.c1.a1', '48.u1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4683, -1, 4797, -1, 6295, -1, 3429, -1], 'generators': [180, 32, 72, 48], 'label': '384.1685.16.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.u1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344749
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '24.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.d1.a1', '12.e1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '48.l1.a1', '48.m1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4381, 6482, 5054, 3308, 3884, 7544, 5704, 2407], 'generators': [96, 192, 24], 'label': '384.1685.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, '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': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344750
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '24.b1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1', '12.g1.a1', '12.i1.a1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '48.d1.a1', '48.e1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1069, 2711, 1047, 6665, 8075, 4732, 1468, 5706], 'generators': [84, 192], 'label': '384.1685.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.b1.a1', '48.d1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344751
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.b1.a1', '8.k1.a1', '8.t1.a1', '8.u1.a1', '12.i1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3393, 4262, 2844, 6253, 7725, 4530, 2111, 5459], 'generators': [7, 32, 48, 84, 192, 24], 'label': '384.1685.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '96.110', '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': '96.110'}
  • id: 54344752
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '24.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.f1.a1', '12.h1.a1'], 'contains': ['48.b1.a1', '48.u1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3446, 4401, 4107, 5160, 6109, 5589, 3573, 4322], 'generators': [180, 192], 'label': '384.1685.24.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1'], 'normal_contains': ['48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344753
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.d1.a1'], 'contains': ['48.a1.a1', '48.f1.a1', '48.h1.a1', '48.k1.a1', '48.k1.b1', '48.k1.c1', '48.k1.d1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6152, -1, 5883, -1, 1998, -1, 6622, -1], 'generators': [1, 96, 192], 'label': '384.1685.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.d1.a1', 'projective_image': '96.110', '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': '4.2'}
  • id: 54344754
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.e1.a1'], 'contains': ['48.a1.a1', '48.g1.a1', '48.i1.a1', '48.j1.a1', '48.j1.a2'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7692, -1, 8809, -1, 530, -1, 9472, -1], 'generators': [7, 96, 48], 'label': '384.1685.24.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.e1.a1', 'projective_image': '96.110', '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': '8.5'}
  • id: 54344755
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.d1.a1'], 'contains': ['48.c1.a1', '48.f1.a1', '48.h1.a1', '48.n1.a1', '48.n1.b1', '48.n1.c1', '48.n1.d1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5920, -1, 6130, -1, 2519, -1, 5265, -1], 'generators': [1, 120, 192], 'label': '384.1685.24.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.f1.a1', 'projective_image': '96.110', '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': '2.1'}
  • id: 54344756
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.d1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.b1.a1', '48.f1.a1', '48.o1.a1', '48.p1.a1', '48.p1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4087, -1, 3483, -1, 4817, -1, 4399, -1], 'generators': [1, 192, 24], 'label': '384.1685.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.g1.a1', 'projective_image': '96.110', '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': '8.3'}
  • id: 54344757
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.e1.a1'], 'contains': ['48.c1.a1', '48.g1.a1', '48.i1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7432, -1, 7789, -1, 1259, -1, 9110, -1], 'generators': [7, 120], 'label': '384.1685.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.h1.a1', 'projective_image': '96.110', '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': '8.5'}
  • id: 54344758
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.e1.a1', '12.h1.a1', '12.i1.a1'], 'contains': ['48.b1.a1', '48.g1.a1', '48.q1.a1', '48.r1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5155, -1, 5216, -1, 5729, -1, 8104, -1], 'generators': [7, 192, 24], 'label': '384.1685.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.i1.a1', 'projective_image': '96.110', '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': '16.11'}
  • id: 54344759
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.d1.a1', '12.f1.a1', '12.j1.a1'], 'contains': ['48.b1.a1', '48.h1.a1', '48.s1.a1', '48.t1.a1', '48.t1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3808, -1, 3956, -1, 5045, -1, 4103, -1], 'generators': [97, 192, 24], 'label': '384.1685.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.j1.a1', 'projective_image': '96.110', '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': '8.3'}
  • id: 54344760
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '12.e1.a1', '12.h1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '48.i1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5336, -1, 5343, -1, 5236, -1, 8452, -1], 'generators': [103, 24], 'label': '384.1685.24.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.k1.a1', 'projective_image': '96.110', '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': '16.11'}
  • id: 54344761
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '12.d1.a1'], 'contains': ['48.k1.b1', '48.k1.c1', '48.l1.a1', '48.n1.a1', '48.n1.d1', '48.o1.a1', '48.s1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5602, -1, 5672, -1, 3524, -1, 5425, -1], 'generators': [1, 120, 216], 'label': '384.1685.24.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.l1.a1', 'projective_image': '192.291', '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': '4.2'}
  • id: 54344762
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.e1.b1', '8.l1.a1', '8.v1.a1', '12.j1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2851, 6343, 3042, 4131, 7041, 1617, 2341, 9456], 'generators': [97, 32, 48, 84, 192, 24], 'label': '384.1685.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.a1', '8.e1.a1', '8.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '96.110', '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': '48.7'}
  • id: 54344763
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a2', '12.d1.a1'], 'contains': ['48.k1.a1', '48.k1.d1', '48.l1.a1', '48.n1.b1', '48.n1.c1', '48.o1.a1', '48.s1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5602, -1, 5570, -1, 3524, -1, 5543, -1], 'generators': [1, 96, 216], 'label': '384.1685.24.l1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.l1.a2', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344764
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '12.d1.a1', '12.l1.a1', '12.m1.a1'], 'contains': ['48.k1.a1', '48.m1.a1', '48.n1.a1', '48.p1.a1', '48.t1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3627, -1, 3356, -1, 5538, -1, 3956, -1], 'generators': [193, 96, 24], 'label': '384.1685.24.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.m1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344765
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.b1', '12.d1.a1', '12.l1.a1', '12.m1.b1'], 'contains': ['48.k1.b1', '48.m1.a1', '48.n1.b1', '48.p1.a1', '48.t1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3627, -1, 4233, -1, 5538, -1, 4251, -1], 'generators': [277, 96, 24], 'label': '384.1685.24.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.m1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344766
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.c1', '12.d1.a1', '12.l1.b1', '12.m1.a1'], 'contains': ['48.k1.c1', '48.m1.a1', '48.n1.c1', '48.p1.b1', '48.t1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3627, -1, 2991, -1, 5538, -1, 3719, -1], 'generators': [85, 96, 24], 'label': '384.1685.24.m1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.m1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344767
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.d1', '12.d1.a1', '12.l1.b1', '12.m1.b1'], 'contains': ['48.k1.d1', '48.m1.a1', '48.n1.d1', '48.p1.b1', '48.t1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3627, -1, 4334, -1, 5538, -1, 3838, -1], 'generators': [1, 96, 24], 'label': '384.1685.24.m1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.m1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344768
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '12.a1.a1', '12.l1.a1', '12.l1.b1'], 'contains': ['48.d1.a1', '48.m1.a1', '48.u1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2950, -1, 2409, -1, 6644, -1, 2666, -1], 'generators': [96, 84], 'label': '384.1685.24.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.n1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344769
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '12.a1.a1', '12.m1.a1', '12.m1.b1'], 'contains': ['48.e1.a1', '48.m1.a1', '48.u1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2675, -1, 2824, -1, 6870, -1, 2376, -1], 'generators': [96, 276], 'label': '384.1685.24.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.o1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344770
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '12.f1.a1', '12.l1.a1', '12.m1.a1'], 'contains': ['48.p1.a1', '48.t1.a1', '48.u1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3135, -1, 2586, -1, 6450, -1, 3184, -1], 'generators': [277, 180], 'label': '384.1685.24.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.p1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344771
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.b1', '12.f1.a1', '12.l1.a1', '12.m1.b1'], 'contains': ['48.p1.a1', '48.t1.b1', '48.u1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3135, -1, 3241, -1, 6450, -1, 3310, -1], 'generators': [193, 180], 'label': '384.1685.24.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.p1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344772
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.c1', '12.f1.a1', '12.l1.b1', '12.m1.a1'], 'contains': ['48.p1.b1', '48.t1.a1', '48.u1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3135, -1, 2200, -1, 6450, -1, 2932, -1], 'generators': [1, 180], 'label': '384.1685.24.p1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.p1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344773
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.m1.a1', '12.k1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2094, 5251, 2386, 5245, 7301, 2607, 3559, 4582], 'generators': [103, 32, 48, 84, 240, 24], 'label': '384.1685.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '96.110', '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': '96.110'}
  • id: 54344774
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.d1', '12.f1.a1', '12.l1.b1', '12.m1.b1'], 'contains': ['48.p1.b1', '48.t1.b1', '48.u1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3135, -1, 2695, -1, 6450, -1, 3058, -1], 'generators': [85, 180], 'label': '384.1685.24.p1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.p1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344775
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.g1.a1', '12.l1.a1', '12.n1.a1'], 'contains': ['48.d1.a1', '48.p1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2173, -1, 754, -1, 7488, -1, 1924, -1], 'generators': [193, 84], 'label': '384.1685.24.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.q1.a1', 'projective_image': '192.291', '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': '16.7'}
  • id: 54344776
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.g1.a1', '12.l1.b1', '12.n1.b1'], 'contains': ['48.d1.a1', '48.p1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2173, -1, 568, -1, 7488, -1, 1832, -1], 'generators': [1, 84], 'label': '384.1685.24.q1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.q1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 54344777
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '12.g1.a1', '12.m1.a1', '12.m1.b1'], 'contains': ['48.e1.a1', '48.p1.a1', '48.p1.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2368, -1, 2294, -1, 7607, -1, 2242, -1], 'generators': [1, 276], 'label': '384.1685.24.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.r1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344778
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '12.i1.a1', '12.n1.a1', '12.n1.b1'], 'contains': ['48.d1.a1', '48.r1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2023, -1, 379, -1, 8419, -1, 1325, -1], 'generators': [7, 84], 'label': '384.1685.24.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.s1.a1', 'projective_image': '192.291', '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': '16.7'}
  • id: 54344779
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '12.i1.a1', '12.o1.a1', '12.o1.b1'], 'contains': ['48.e1.a1', '48.r1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1908, -1, 1681, -1, 8927, -1, 1058, -1], 'generators': [7, 276], 'label': '384.1685.24.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '24.t1.a1', 'projective_image': '192.291', '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': '16.7'}
  • id: 54344780
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.a1', '12.j1.a1', '12.l1.a1', '12.l1.b1'], 'contains': ['48.d1.a1', '48.t1.a1', '48.t1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2497, -1, 2025, -1, 7057, -1, 2521, -1], 'generators': [97, 84], 'label': '384.1685.24.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.u1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344781
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.j1.a1', '12.m1.a1', '12.o1.a1'], 'contains': ['48.e1.a1', '48.t1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1496, -1, 1787, -1, 7888, -1, 1613, -1], 'generators': [289, 276], 'label': '384.1685.24.v1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.v1.a1', 'projective_image': '192.291', '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': '16.7'}
  • id: 54344782
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.43', 'aut_weyl_index': 192, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.j1.a1', '12.m1.b1', '12.o1.b1'], 'contains': ['48.e1.a1', '48.t1.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1496, -1, 1913, -1, 7888, -1, 1727, -1], 'generators': [97, 276], 'label': '384.1685.24.v1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.v1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 54344783
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '12.b1.a1', '12.n1.a1', '12.n1.b1'], 'contains': ['48.d1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1340, -1, 167, -1, 8794, -1, 1161, -1], 'generators': [6], 'label': '384.1685.24.w1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '24.w1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344784
    {'ambient': '384.1685', 'aut_centralizer_order': 192, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 192, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.w1.a1', '12.b1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1729, 1980, 1582, 8581, 8145, 3496, 1374, 8350], 'generators': [6, 48, 24, 192, 32, 12], 'label': '384.1685.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.a1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344785
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768, 'centralizer': '4.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '12.c1.a1', '12.o1.a1', '12.o1.b1'], 'contains': ['48.e1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [529, -1, 1171, -1, 9675, -1, 297, -1], 'generators': [102], 'label': '384.1685.24.x1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.x1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344786
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '32.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.f1.a1', '16.g1.a1', '16.h1.a1', '16.i1.a1'], 'contains': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '96.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8527, 8807, 9117, 915, 1810, 8212, 8340, 1356], 'generators': [192, 48, 32], 'label': '384.1685.32.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.b1.a1'], 'normal_contains': ['64.c1.a1', '64.b1.a1', '64.a1.a1', '96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344787
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.l1.a1', '16.o1.a1', '16.q1.a1', '16.s1.a1'], 'contains': ['64.c1.a1', '96.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6586, 7763, 7073, 2427, 3936, 6649, 7547, 3395], 'generators': [216, 32, 48], 'label': '384.1685.32.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.b1.a1'], 'normal_contains': ['64.c1.a1', '96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.6', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344788
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '32.c1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.d1.a1', '16.e1.a1', '16.m1.a1', '16.p1.a1', '16.p1.b1', '16.r1.a1', '16.t1.a1', '16.t1.b1', '16.u1.a1'], 'contains': ['64.c1.a1', '96.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4888, 5710, 4737, 4542, 5794, 5237, 4604, 4779], 'generators': [24, 32, 48], 'label': '384.1685.32.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.b1.a1', '16.d1.a1', '16.e1.a1'], 'normal_contains': ['64.c1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344789
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['64.a1.a1', '64.d1.a1', '96.d1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9202, -1, 9430, -1, 1209, -1, 8515, -1], 'generators': [96, 192, 32], 'label': '384.1685.32.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.d1.a1', 'projective_image': '192.463', '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': '2.1'}
  • id: 54344790
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1'], 'contains': ['64.a1.a1', '64.e1.a1', '64.e1.b1', '96.e1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8925, -1, 8839, -1, 1382, -1, 7917, -1], 'generators': [1, 192, 32], 'label': '384.1685.32.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.e1.a1', 'projective_image': '192.463', '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': '6.1'}
  • id: 54344791
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1'], 'contains': ['64.a1.a1', '64.f1.a1', '96.f1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9368, -1, 9545, -1, 1501, -1, 8929, -1], 'generators': [7, 192, 32], 'label': '384.1685.32.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.j1.a1', 'old_label': '32.f1.a1', 'projective_image': '192.463', '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': '12.4'}
  • id: 54344792
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.j1.a1', '16.j1.a2'], 'contains': ['64.b1.a1', '64.d1.a1', '96.g1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9592, -1, 9702, -1, 518, -1, 9062, -1], 'generators': [96, 240, 32], 'label': '384.1685.32.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.g1.a1', 'projective_image': '192.467', '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': '2.1'}
  • id: 54344793
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1'], 'contains': ['64.b1.a1', '64.e1.a1', '64.e1.b1', '96.h1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9038, -1, 8918, -1, 1036, -1, 8102, -1], 'generators': [1, 240, 32], 'label': '384.1685.32.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.h1.a1', 'projective_image': '192.467', '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': '6.1'}
  • id: 54344794
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.j1.a1', '16.j1.a2'], 'contains': ['64.b1.a1', '64.f1.a1', '96.i1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9756, -1, 9960, -1, 691, -1, 9196, -1], 'generators': [7, 240, 32], 'label': '384.1685.32.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1.a1', 'old_label': '32.i1.a1', 'projective_image': '192.467', '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': '12.4'}
  • id: 54344795
    {'ambient': '384.1685', 'aut_centralizer_order': 192, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 192, 'centralizer': '4.g1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.b1.a1', '8.x1.a1', '12.c1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1462, 845, 1915, 9737, 9308, 5564, 773, 6472], 'generators': [102, 48, 24, 192, 32, 204], 'label': '384.1685.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344796
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '16.j1.a1', '16.j1.a2'], 'contains': ['64.b1.a1', '96.j1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9885, -1, 9828, -1, 209, -1, 9393, -1], 'generators': [103, 240, 32], 'label': '384.1685.32.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1.a1', 'old_label': '32.j1.a1', 'projective_image': '192.467', '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': '12.4'}
  • id: 54344797
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.k1.a1', '16.k1.b1', '16.k1.c1', '16.k1.d1', '16.l1.a1', '16.m1.a1'], 'contains': ['64.c1.a1', '64.d1.a1', '96.k1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8251, -1, 7996, -1, 2534, -1, 7691, -1], 'generators': [96, 48, 32], 'label': '384.1685.32.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.k1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344798
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.k1.a1', '16.k1.b1', '16.n1.a1', '16.n1.b1', '16.o1.a1', '16.p1.a1'], 'contains': ['64.c1.a1', '64.e1.a1', '96.l1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7985, -1, 7264, -1, 2933, -1, 7269, -1], 'generators': [193, 48, 32], 'label': '384.1685.32.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '32.l1.a1', 'projective_image': '192.291', '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': '12.4'}
  • id: 54344799
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.k1.c1', '16.k1.d1', '16.n1.c1', '16.n1.d1', '16.o1.a1', '16.p1.b1'], 'contains': ['64.c1.a1', '64.e1.b1', '96.l1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7985, -1, 7161, -1, 2933, -1, 7177, -1], 'generators': [1, 48, 32], 'label': '384.1685.32.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '32.l1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344800
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.q1.a1', '16.r1.a1'], 'contains': ['64.c1.a1', '64.f1.a1', '96.m1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8811, -1, 9316, -1, 4068, -1, 8009, -1], 'generators': [7, 48, 32], 'label': '384.1685.32.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.k1.a1', 'old_label': '32.m1.a1', 'projective_image': '192.291', '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': '12.4'}
  • id: 54344801
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.l1.a1', '16.m1.a1', '16.n1.a1', '16.n1.b1', '16.n1.c1', '16.n1.d1'], 'contains': ['64.c1.a1', '96.n1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6785, -1, 8124, -1, 3065, -1, 6838, -1], 'generators': [120, 32, 48], 'label': '384.1685.32.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.n1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344802
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '16.k1.a1', '16.k1.c1', '16.n1.a1', '16.n1.c1', '16.s1.a1', '16.t1.a1'], 'contains': ['64.c1.a1', '96.o1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6994, -1, 6932, -1, 3334, -1, 6953, -1], 'generators': [181, 48, 32], 'label': '384.1685.32.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '32.o1.a1', 'projective_image': '192.291', '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': '12.4'}
  • id: 54344803
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '16.k1.b1', '16.k1.d1', '16.n1.b1', '16.n1.d1', '16.s1.a1', '16.t1.b1'], 'contains': ['64.c1.a1', '96.o1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6994, -1, 7537, -1, 3334, -1, 7072, -1], 'generators': [97, 48, 32], 'label': '384.1685.32.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '32.o1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344823
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '24.f1.a1', '24.l1.a1', '24.m1.a1'], 'contains': ['96.l1.a1', '96.n1.a1', '96.o1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5999, -1, 6200, -1, 3524, -1, 5335, -1], 'generators': [193, 120], 'label': '384.1685.48.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.n1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344804
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1'], 'contains': ['96.a1.a1', '96.d1.a1', '96.g1.a1', '96.k1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7228, 6385, 7719, 3172, 1629, 8900, 8201, 2870], 'generators': [96, 192, 48], 'label': '384.1685.48.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344805
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '48.b1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.g1.a1', '24.i1.a1', '24.j1.a1', '24.k1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4548, 5097, 5016, 4216, 4817, 5942, 5777, 4087], 'generators': [192, 24], 'label': '384.1685.48.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344806
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.f1.a1', '8.h1.a1', '8.i1.a1', '8.l1.a1', '8.n1.a1', '8.n1.a2', '8.o1.a1', '8.o1.b1', '8.o1.c1', '8.o1.d1', '12.d1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5612, -1, 5565, -1, 3127, -1, 6056, -1], 'generators': [1, 32, 48, 96, 192, 24], 'label': '384.1685.4.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.h1.a1', 'projective_image': '96.110', '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': '24.6'}
  • id: 54344807
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '48.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.f1.a1', '24.h1.a1'], 'contains': ['96.a1.a1', '96.n1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6603, 7408, 7597, 1859, 2308, 7355, 7403, 2196], 'generators': [120, 192], 'label': '384.1685.48.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.6', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344808
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '48.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.b1.a1', '24.n1.a1', '24.q1.a1', '24.q1.b1', '24.s1.a1', '24.u1.a1', '24.w1.a1'], 'contains': ['96.c1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2410, 3281, 1047, 6665, 7212, 4278, 1924, 5273], 'generators': [84], 'label': '384.1685.48.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.d1.a1', '24.b1.a1'], 'normal_contains': ['96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.10', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344809
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '48.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.b1.a1', '24.o1.a1', '24.r1.a1', '24.t1.a1', '24.v1.a1', '24.v1.b1', '24.x1.a1'], 'contains': ['96.c1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2145, 3810, 1858, 6047, 7813, 4732, 1727, 5718], 'generators': [276], 'label': '384.1685.48.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.e1.a1', '24.b1.a1'], 'normal_contains': ['96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.10', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344810
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.d1.a1', '24.f1.a1', '24.g1.a1'], 'contains': ['96.a1.a1', '96.e1.a1', '96.h1.a1', '96.l1.a1', '96.l1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7075, -1, 6883, -1, 2127, -1, 6729, -1], 'generators': [1, 192, 48], 'label': '384.1685.48.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.f1.a1', 'projective_image': '96.110', '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': '2.1'}
  • id: 54344811
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '48.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.e1.a1', '24.h1.a1', '24.i1.a1'], 'contains': ['96.a1.a1', '96.f1.a1', '96.i1.a1', '96.m1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7358, -1, 8228, -1, 1991, -1, 8655, -1], 'generators': [7, 192, 48], 'label': '384.1685.48.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.g1.a1', 'projective_image': '96.110', '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': '4.2'}
  • id: 54344812
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.d1.a1', '24.f1.a1', '24.j1.a1'], 'contains': ['96.a1.a1', '96.o1.a1', '96.o1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6388, -1, 7146, -1, 2760, -1, 5952, -1], 'generators': [97, 192], 'label': '384.1685.48.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.h1.a1', 'projective_image': '96.110', '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': '2.1'}
  • id: 54344813
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '48.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.e1.a1', '24.h1.a1', '24.k1.a1'], 'contains': ['96.a1.a1', '96.j1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7771, -1, 8432, -1, 863, -1, 8795, -1], 'generators': [103, 48], 'label': '384.1685.48.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.i1.a1', 'projective_image': '96.110', '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': '4.2'}
  • id: 54344814
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '24.e1.a1'], 'contains': ['96.g1.a1', '96.i1.a1', '96.j1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9196, -1, 9213, -1, 345, -1, 9499, -1], 'generators': [7, 96], 'label': '384.1685.48.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.e1.a1', 'old_label': '48.j1.a1', 'projective_image': '192.467', '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': '4.2'}
  • id: 54344815
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a2', '24.e1.a1'], 'contains': ['96.g1.a1', '96.i1.a1', '96.j1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9196, -1, 9133, -1, 345, -1, 9288, -1], 'generators': [7, 144], 'label': '384.1685.48.j1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.e1.a1', 'old_label': '48.j1.a2', 'projective_image': '192.467', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.a2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344816
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '24.d1.a1', '24.l1.a2', '24.m1.a1'], 'contains': ['96.k1.a1', '96.l1.a1', '96.o1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6223, -1, 5622, -1, 3198, -1, 6537, -1], 'generators': [193, 96], 'label': '384.1685.48.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.k1.a1', 'projective_image': '192.291', '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': '4.2'}
  • id: 54344817
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.g1.a1', '8.j1.a1', '8.k1.a1', '8.m1.a1', '12.e1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6485, -1, 7389, -1, 3917, -1, 8104, -1], 'generators': [7, 32, 48, 96, 24, 240], 'label': '384.1685.4.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.i1.a1', 'projective_image': '96.110', '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': '48.36'}
  • id: 54344818
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.b1', '24.d1.a1', '24.l1.a1', '24.m1.b1'], 'contains': ['96.k1.a1', '96.l1.a1', '96.o1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6223, -1, 6085, -1, 3198, -1, 6630, -1], 'generators': [277, 96], 'label': '384.1685.48.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.k1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344819
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.c1', '24.d1.a1', '24.l1.a1', '24.m1.c1'], 'contains': ['96.k1.a1', '96.l1.b1', '96.o1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6223, -1, 5856, -1, 3198, -1, 6085, -1], 'generators': [85, 96], 'label': '384.1685.48.k1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.k1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344820
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.d1', '24.d1.a1', '24.l1.a2', '24.m1.d1'], 'contains': ['96.k1.a1', '96.l1.b1', '96.o1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6223, -1, 5774, -1, 3198, -1, 6445, -1], 'generators': [1, 96], 'label': '384.1685.48.k1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.k1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344821
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '24.a1.a1', '24.l1.a1', '24.l1.a2'], 'contains': ['96.b1.a1', '96.k1.a1', '96.n1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5725, -1, 5507, -1, 3750, -1, 6311, -1], 'generators': [96, 216], 'label': '384.1685.48.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.l1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344822
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '24.a1.a1', '24.m1.a1', '24.m1.b1', '24.m1.c1', '24.m1.d1', '24.n1.a1', '24.o1.a1'], 'contains': ['96.c1.a1', '96.k1.a1', '96.n1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3952, -1, 4290, -1, 5043, -1, 4064, -1], 'generators': [96, 24], 'label': '384.1685.48.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.m1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344824
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.b1', '24.f1.a1', '24.l1.a2', '24.m1.b1'], 'contains': ['96.l1.a1', '96.n1.a1', '96.o1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5999, -1, 5971, -1, 3524, -1, 5510, -1], 'generators': [277, 120], 'label': '384.1685.48.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.n1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344825
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.c1', '24.f1.a1', '24.l1.a2', '24.m1.c1'], 'contains': ['96.l1.b1', '96.n1.a1', '96.o1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5999, -1, 6350, -1, 3524, -1, 4986, -1], 'generators': [85, 120], 'label': '384.1685.48.n1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.n1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344826
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.d1', '24.f1.a1', '24.l1.a1', '24.m1.d1'], 'contains': ['96.l1.b1', '96.n1.a1', '96.o1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5999, -1, 6763, -1, 3524, -1, 5161, -1], 'generators': [1, 120], 'label': '384.1685.48.n1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.n1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344827
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '24.g1.a1', '24.l1.a1', '24.l1.a2'], 'contains': ['96.b1.a1', '96.l1.a1', '96.l1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5559, -1, 5271, -1, 4188, -1, 6178, -1], 'generators': [1, 216], 'label': '384.1685.48.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.o1.a1', 'projective_image': '192.291', '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': '4.2'}
  • id: 54344828
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.i1.a1', '8.l1.a1', '8.r1.a1', '8.r1.b1', '8.r1.c1', '8.r1.d1', '12.f1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4915, -1, 4355, -1, 4811, -1, 4707, -1], 'generators': [1, 32, 48, 180, 192, 72], 'label': '384.1685.4.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.j1.a1', 'projective_image': '96.110', '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': '24.6'}
  • id: 54344829
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '24.g1.a1', '24.m1.a1', '24.m1.b1', '24.p1.a1', '24.p1.b1', '24.q1.a1', '24.r1.a1'], 'contains': ['96.c1.a1', '96.l1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3675, -1, 3388, -1, 5927, -1, 3930, -1], 'generators': [193, 24], 'label': '384.1685.48.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.p1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344830
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.b1', '24.g1.a1', '24.m1.c1', '24.m1.d1', '24.p1.c1', '24.p1.d1', '24.q1.b1', '24.r1.a1'], 'contains': ['96.c1.a1', '96.l1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3675, -1, 3055, -1, 5927, -1, 3745, -1], 'generators': [1, 24], 'label': '384.1685.48.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.p1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344831
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '24.i1.a1'], 'contains': ['96.b1.a1', '96.m1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6767, -1, 7303, -1, 5216, -1, 7824, -1], 'generators': [7, 216], 'label': '384.1685.48.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '48.q1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344832
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '24.i1.a1', '24.s1.a1', '24.t1.a1'], 'contains': ['96.c1.a1', '96.m1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3110, -1, 2361, -1, 7340, -1, 2951, -1], 'generators': [7, 24], 'label': '384.1685.48.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.r1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344833
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '24.j1.a1', '24.l1.a1', '24.l1.a2'], 'contains': ['96.b1.a1', '96.o1.a1', '96.o1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5446, -1, 5351, -1, 4308, -1, 5643, -1], 'generators': [97, 216], 'label': '384.1685.48.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.s1.a1', 'projective_image': '192.291', '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': '4.2'}
  • id: 54344834
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '24.j1.a1', '24.m1.a1', '24.m1.c1', '24.p1.a1', '24.p1.c1', '24.u1.a1', '24.v1.a1'], 'contains': ['96.c1.a1', '96.o1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3560, -1, 2676, -1, 6046, -1, 3653, -1], 'generators': [181, 24], 'label': '384.1685.48.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.t1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344835
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.b1', '24.j1.a1', '24.m1.b1', '24.m1.d1', '24.p1.b1', '24.p1.d1', '24.u1.a1', '24.v1.b1'], 'contains': ['96.c1.a1', '96.o1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3560, -1, 3744, -1, 6046, -1, 3838, -1], 'generators': [97, 24], 'label': '384.1685.48.t1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.t1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344836
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '24.c1.a1', '24.n1.a1', '24.o1.a1', '24.p1.a1', '24.p1.b1', '24.p1.c1', '24.p1.d1'], 'contains': ['96.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3226, -1, 3200, -1, 6372, -1, 3184, -1], 'generators': [180], 'label': '384.1685.48.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.u1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344837
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '64.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.d1.a1', '32.e1.a1', '32.f1.a1'], 'contains': ['128.a1.a1', '192.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8776, 8813, 8985, 192, 1501, 7796, 8373, 1752], 'generators': [192, 32], 'label': '384.1685.64.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '192.463', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344838
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '64.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.g1.a1', '32.h1.a1', '32.i1.a1', '32.j1.a1'], 'contains': ['128.a1.a1', '192.b1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9453, 9314, 9624, 703, 734, 8250, 8854, 2196], 'generators': [240, 32], 'label': '384.1685.64.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, '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': '192.467', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.17', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344839
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408526439', 'aut_weyl_index': 4, 'centralizer': '48.c1.a1', 'complements': ['192.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.d1.a1', '4.h1.a1', '4.j1.a1', '4.l1.a1', '4.l1.b1', '4.m1.a1', '4.m1.b1', '6.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3467, 6754, 3103, 2618, 6254, 470, 3289, 2975], 'generators': [1, 48, 24, 96, 32, 84, 192], 'label': '384.1685.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 54344840
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.c1.a1', '8.k1.a1', '8.m1.a1', '12.h1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5926, -1, 5900, -1, 5118, -1, 7761, -1], 'generators': [7, 32, 48, 180, 264, 72], 'label': '384.1685.4.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.k1.a1', 'projective_image': '96.110', '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': '48.36'}
  • id: 54344841
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '64.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.k1.a1', '32.l1.a1', '32.l1.b1', '32.m1.a1', '32.n1.a1', '32.o1.a1', '32.o1.b1'], 'contains': ['128.a1.a1', '192.c1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7921, 8013, 7991, 2086, 3109, 6825, 7547, 3148], 'generators': [48, 32], 'label': '384.1685.64.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.c1.a1', 'normal_contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'normal_contains': ['128.a1.a1', '192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.c1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.5', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344842
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.g1.a1', '32.k1.a1'], 'contains': ['128.a1.a1', '192.d1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8998, -1, 9357, -1, 990, -1, 8465, -1], 'generators': [96, 32], 'label': '384.1685.64.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.d1.a1', 'projective_image': '384.1685', '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': '1.1'}
  • id: 54344843
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.h1.a1', '32.l1.a1'], 'contains': ['128.a1.a1', '192.e1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8596, -1, 8635, -1, 1382, -1, 8070, -1], 'generators': [193, 32], 'label': '384.1685.64.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.e1.a1', 'projective_image': '384.1685', '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': '6.1'}
  • id: 54344844
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.h1.a1', '32.l1.b1'], 'contains': ['128.a1.a1', '192.e1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8596, -1, 8528, -1, 1382, -1, 7977, -1], 'generators': [1, 32], 'label': '384.1685.64.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.e1.b1', 'projective_image': '384.1685', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 54344845
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '32.i1.a1', '32.m1.a1'], 'contains': ['128.a1.a1', '192.f1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [9566, -1, 9544, -1, 1621, -1, 8725, -1], 'generators': [7, 32], 'label': '384.1685.64.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.g1.a1', 'old_label': '64.f1.a1', 'projective_image': '384.1685', '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': '6.1'}
  • id: 54344846
    {'ambient': '384.1685', 'aut_centralizer_order': 6144, 'aut_label': '96.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.f1.a1', '48.g1.a1', '48.h1.a1', '48.i1.a1'], 'contains': ['192.a1.a1', '192.b1.a1', '192.c1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7233, 7339, 8123, 1754, 2021, 7311, 8168, 2672], 'generators': [192, 48], 'label': '384.1685.96.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.c1.a1', '48.b1.a1'], 'normal_contains': ['192.c1.a1', '192.b1.a1', '192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.110', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 54344847
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '96.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.b1.a1', '48.l1.a1', '48.o1.a1', '48.q1.a1', '48.s1.a1'], 'contains': ['192.c1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5465, 6802, 5397, 2747, 3941, 6371, 6382, 3593], 'generators': [216], 'label': '384.1685.96.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.b1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.24', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344848
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '96.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.b1.a1', '48.d1.a1', '48.e1.a1', '48.m1.a1', '48.p1.a1', '48.p1.b1', '48.r1.a1', '48.t1.a1', '48.t1.b1', '48.u1.a1'], 'contains': ['192.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3605, 5097, 3271, 4833, 5986, 5237, 3791, 4779], 'generators': [24], 'label': '384.1685.96.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.b1.a1', '48.d1.a1', '48.e1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.21', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344849
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '48.a1.a1'], 'contains': ['192.a1.a1', '192.d1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8346, -1, 8594, -1, 1254, -1, 8274, -1], 'generators': [96, 192], 'label': '384.1685.96.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.d1.a1', 'projective_image': '192.463', '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': '2.1'}
  • id: 54344850
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '48.f1.a1'], 'contains': ['192.a1.a1', '192.e1.a1', '192.e1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7990, -1, 7928, -1, 1749, -1, 7448, -1], 'generators': [1, 192], 'label': '384.1685.96.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.f1.a1', 'old_label': '96.e1.a1', 'projective_image': '192.463', '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': '1.1'}
  • id: 54344851
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.o1.a1', '8.o1.b1', '8.p1.a1', '8.r1.a1', '8.r1.b1', '8.v1.a1', '12.l1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4031, -1, 4497, -1, 5795, -1, 4082, -1], 'generators': [193, 32, 48, 96, 84, 24], 'label': '384.1685.4.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.l1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344852
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '48.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '48.g1.a1'], 'contains': ['192.a1.a1', '192.f1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8561, -1, 8828, -1, 1885, -1, 8626, -1], 'generators': [7, 192], 'label': '384.1685.96.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '96.f1.a1', 'projective_image': '192.463', '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': '2.1'}
  • id: 54344853
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.g1.a1', '48.a1.a1', '48.j1.a1', '48.j1.a2'], 'contains': ['192.b1.a1', '192.d1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8991, -1, 9044, -1, 606, -1, 8989, -1], 'generators': [96, 240], 'label': '384.1685.96.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.g1.a1', 'projective_image': '192.467', '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': '2.1'}
  • id: 54344854
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '48.f1.a1'], 'contains': ['192.b1.a1', '192.e1.a1', '192.e1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8128, -1, 8032, -1, 1118, -1, 7878, -1], 'generators': [1, 240], 'label': '384.1685.96.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.f1.a1', 'old_label': '96.h1.a1', 'projective_image': '192.467', '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': '1.1'}
  • id: 54344855
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '48.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '48.g1.a1', '48.j1.a1', '48.j1.a2'], 'contains': ['192.b1.a1', '192.f1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9354, -1, 9135, -1, 862, -1, 9142, -1], 'generators': [7, 240], 'label': '384.1685.96.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.e1.a1', 'old_label': '96.i1.a1', 'projective_image': '192.467', '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': '2.1'}
  • id: 54344856
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '48.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '48.i1.a1', '48.j1.a1', '48.j1.a2'], 'contains': ['192.b1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9112, -1, 9220, -1, 412, -1, 9288, -1], 'generators': [103], 'label': '384.1685.96.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.e1.a1', 'old_label': '96.j1.a1', 'projective_image': '192.467', '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': '2.1'}
  • id: 54344857
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '48.a1.a1', '48.k1.a1', '48.k1.b1', '48.k1.c1', '48.k1.d1', '48.l1.a1', '48.m1.a1'], 'contains': ['192.c1.a1', '192.d1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6873, -1, 6132, -1, 2981, -1, 6509, -1], 'generators': [96, 48], 'label': '384.1685.96.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.k1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344858
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '48.f1.a1', '48.k1.a1', '48.k1.b1', '48.n1.a1', '48.n1.b1', '48.o1.a1', '48.p1.a1'], 'contains': ['192.c1.a1', '192.e1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6719, -1, 6003, -1, 3236, -1, 6283, -1], 'generators': [193, 48], 'label': '384.1685.96.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '96.l1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344859
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.b1', '48.f1.a1', '48.k1.c1', '48.k1.d1', '48.n1.c1', '48.n1.d1', '48.o1.a1', '48.p1.b1'], 'contains': ['192.c1.a1', '192.e1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6719, -1, 6414, -1, 3236, -1, 6178, -1], 'generators': [1, 48], 'label': '384.1685.96.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '96.l1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344860
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '48.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '48.g1.a1', '48.q1.a1', '48.r1.a1'], 'contains': ['192.c1.a1', '192.f1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7473, -1, 8288, -1, 4068, -1, 7773, -1], 'generators': [7, 48], 'label': '384.1685.96.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.i1.a1', 'old_label': '96.m1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344861
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.a1', '48.c1.a1', '48.l1.a1', '48.m1.a1', '48.n1.a1', '48.n1.b1', '48.n1.c1', '48.n1.d1'], 'contains': ['192.c1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6067, -1, 6822, -1, 3364, -1, 5510, -1], 'generators': [120], 'label': '384.1685.96.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.n1.a1', 'projective_image': '192.291', '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': '1.1'}
  • id: 54344862
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.b1', '8.o1.c1', '8.o1.d1', '8.p1.a1', '8.r1.c1', '8.r1.d1', '8.v1.a1', '12.l1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4031, -1, 3286, -1, 5795, -1, 3845, -1], 'generators': [1, 32, 48, 96, 84, 24], 'label': '384.1685.4.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.l1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344863
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.a1', '48.h1.a1', '48.k1.a1', '48.k1.c1', '48.n1.a1', '48.n1.c1', '48.s1.a1', '48.t1.a1'], 'contains': ['192.c1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6296, -1, 6499, -1, 3484, -1, 5905, -1], 'generators': [181], 'label': '384.1685.96.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '96.o1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344864
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.b1', '48.h1.a1', '48.k1.b1', '48.k1.d1', '48.n1.b1', '48.n1.d1', '48.s1.a1', '48.t1.b1'], 'contains': ['192.c1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6296, -1, 6579, -1, 3484, -1, 5998, -1], 'generators': [97], 'label': '384.1685.96.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '96.o1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344865
    {'ambient': '384.1685', 'aut_centralizer_order': 3072, 'aut_label': '128.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.c1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.d1.a1', '64.e1.a1', '64.e1.b1', '64.f1.a1'], 'contains': ['384.a1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8793, 8737, 8937, 668, 1441, 7777, 8366, 2215], 'generators': [32], 'label': '384.1685.128.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.c1.a1', '64.b1.a1', '64.a1.a1'], 'normal_contains': ['384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': '384.1685', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.29', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344866
    {'ambient': '384.1685', 'aut_centralizer_order': 6144, 'aut_label': '192.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.d1.a1', '96.e1.a1', '96.f1.a1'], 'contains': ['384.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8363, 8076, 8594, 1086, 1681, 7323, 8274, 1770], 'generators': [192], 'label': '384.1685.192.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1'], 'normal_contains': ['384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '192.463', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.463', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 54344867
    {'ambient': '384.1685', 'aut_centralizer_order': 6144, 'aut_label': '192.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '96.a1.a1', '96.g1.a1', '96.h1.a1', '96.i1.a1', '96.j1.a1'], 'contains': ['384.a1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8905, 8842, 8895, 1597, 862, 8231, 8854, 2660], 'generators': [240], 'label': '384.1685.192.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, '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': '192.467', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.467', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 54344868
    {'ambient': '384.1685', 'aut_centralizer_order': 6144, 'aut_label': '192.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1', '96.k1.a1', '96.l1.a1', '96.l1.b1', '96.m1.a1', '96.n1.a1', '96.o1.a1', '96.o1.b1'], 'contains': ['384.a1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6798, 7227, 6558, 2179, 3300, 6825, 6333, 3148], 'generators': [48], 'label': '384.1685.192.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.c1.a1', 'normal_contained_in': ['64.c1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normal_contains': ['384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.c1.a1', 'projective_image': '192.291', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.291', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 54344869
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '96.d1.a1', '96.g1.a1', '96.k1.a1'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8553, -1, 8674, -1, 1254, -1, 8459, -1], 'generators': [96], 'label': '384.1685.192.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.d1.a1', 'projective_image': '384.1685', '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': '1.1'}
  • id: 54344870
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.e1.a1', '96.e1.a1', '96.h1.a1', '96.l1.a1'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8106, -1, 8012, -1, 1561, -1, 7924, -1], 'generators': [193], 'label': '384.1685.192.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.f1.a1', 'old_label': '192.e1.a1', 'projective_image': '384.1685', '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': '1.1'}
  • id: 54344871
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '24.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.e1.b1', '96.e1.a1', '96.h1.a1', '96.l1.b1'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8106, -1, 8095, -1, 1561, -1, 7832, -1], 'generators': [1], 'label': '384.1685.192.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.f1.a1', 'old_label': '192.e1.b1', 'projective_image': '384.1685', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 54344872
    {'ambient': '384.1685', 'aut_centralizer_order': 128, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '48.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '96.f1.a1', '96.i1.a1', '96.m1.a1'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9018, -1, 8975, -1, 1800, -1, 8626, -1], 'generators': [7], 'label': '384.1685.192.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.g1.a1', 'old_label': '192.f1.a1', 'projective_image': '384.1685', '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': '1.1'}
  • id: 54344873
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.e1.a1', '8.o1.a1', '8.o1.c1', '8.q1.a1', '8.r1.a1', '8.r1.c1', '8.s1.a1', '12.m1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3595, -1, 3881, -1, 6254, -1, 3695, -1], 'generators': [193, 32, 48, 96, 276, 24], 'label': '384.1685.4.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.m1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344874
    {'ambient': '384.1685', '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': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '192.a1.a1', '192.b1.a1', '192.c1.a1', '192.d1.a1', '192.e1.a1', '192.e1.b1', '192.f1.a1'], 'contains': [], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8553, 8270, 8633, 1342, 1561, 7550, 8320, 2437], 'generators': [], 'label': '384.1685.384.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '384.a1.a1', 'normal_contained_in': ['128.a1.a1', '192.c1.a1', '192.b1.a1', '192.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '384.a1.a1', 'projective_image': '384.1685', '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': '1.1'}
  • id: 54344875
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.19764', 'aut_weyl_index': 16, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.e1.b1', '8.o1.b1', '8.o1.d1', '8.q1.a1', '8.r1.b1', '8.r1.d1', '8.s1.a1', '12.m1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3595, -1, 4133, -1, 6254, -1, 3963, -1], 'generators': [1, 32, 48, 96, 276, 24], 'label': '384.1685.4.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.m1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344876
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.12439', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.d1.a1', '8.t1.a1', '8.w1.a1', '12.n1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2626, -1, 1384, -1, 7936, -1, 1650, -1], 'generators': [193, 32, 48, 6, 84, 24], 'label': '384.1685.4.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.n1.a1', 'projective_image': '192.291', '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': '48.7'}
  • id: 54344877
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.12439', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.d1.b1', '8.t1.a1', '8.w1.a1', '12.n1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2626, -1, 1286, -1, 7936, -1, 1536, -1], 'generators': [1, 32, 48, 6, 84, 24], 'label': '384.1685.4.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.n1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1.b1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 54344878
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.12439', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1'], 'contains': ['8.e1.a1', '8.u1.a1', '8.x1.a1', '12.o1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2281, -1, 2689, -1, 9909, -1, 155, -1], 'generators': [289, 32, 48, 102, 228, 24], 'label': '384.1685.4.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '4.o1.a1', 'projective_image': '192.291', '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': '48.7'}
  • id: 54344879
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.12439', 'aut_weyl_index': 16, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1'], 'contains': ['8.e1.b1', '8.u1.a1', '8.x1.a1', '12.o1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2281, -1, 2559, -1, 9909, -1, 592, -1], 'generators': [97, 32, 48, 102, 228, 24], 'label': '384.1685.4.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '4.o1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1.b1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 54344880
    {'ambient': '384.1685', 'aut_centralizer_order': 96, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.260', 'aut_weyl_index': 96, 'centralizer': '8.b1.a1', 'complements': ['64.e1.b1', '64.e1.a1', '64.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [167, 1465, 678, 9105, 9055, 6523, 968, 7411], 'generators': [6, 96], 'label': '384.1685.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 54344881
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408526439', 'aut_weyl_index': 4, 'centralizer': '96.a1.a1', 'complements': ['192.e1.b1', '192.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.e1.a1', '4.i1.a1', '4.k1.a1', '6.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3710, 7826, 3354, 3711, 7224, 5728, 3487, 3927], 'generators': [7, 48, 24, 96, 32, 84, 240], 'label': '384.1685.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '96.110'}
  • id: 54344882
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.56069', 'aut_weyl_index': 24, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '12.f1.a1', '12.g1.a1', '12.j1.a1', '12.l1.a1', '12.l1.b1', '12.m1.a1', '12.m1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1808, -1, 1858, -1, 6742, -1, 2993, -1], 'generators': [1, 96, 84, 192], 'label': '384.1685.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '96.110', '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': '16.7'}
  • id: 54344883
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.56069', 'aut_weyl_index': 24, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.e1.a1', '12.h1.a1', '12.i1.a1', '12.k1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2509, -1, 2474, -1, 7494, -1, 3410, -1], 'generators': [7, 96, 84], 'label': '384.1685.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '96.110', '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': '32.39'}
  • id: 54344884
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.53142', 'aut_weyl_index': 24, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.g1.a1', '12.i1.a1', '12.n1.a1', '12.n1.b1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1246, -1, 295, -1, 8803, -1, 1164, -1], 'generators': [1, 6, 192], 'label': '384.1685.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '96.110', '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': '32.39'}
  • id: 54344885
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.53142', 'aut_weyl_index': 24, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.g1.a1', '12.k1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [555, -1, 860, -1, 8572, -1, 1933, -1], 'generators': [1, 102], 'label': '384.1685.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '96.110', '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': '32.39'}
  • id: 54344886
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.53142', 'aut_weyl_index': 24, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.i1.a1', '12.j1.a1', '12.o1.a1', '12.o1.b1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [941, -1, 1297, -1, 9626, -1, 374, -1], 'generators': [97, 102, 192], 'label': '384.1685.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '96.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '32.39'}
  • id: 54344887
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.53142', 'aut_weyl_index': 24, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.j1.a1', '12.k1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [372, -1, 534, -1, 8379, -1, 1784, -1], 'generators': [97, 6], 'label': '384.1685.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.g1.a1', 'projective_image': '96.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '32.39'}
  • id: 54344888
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.h1.a1', '4.i1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.l1.a1', '16.m1.a1', '24.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6244, 7693, 7198, 1859, 2838, 8641, 7138, 1554], 'generators': [96, 48, 192, 24, 32], 'label': '384.1685.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, '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': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344889
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '8.b1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.e1.a1', '24.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2665, 4249, 2320, 6217, 7358, 3471, 2318, 5706], 'generators': [84, 48, 192, 32, 72], 'label': '384.1685.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.b1.a1', '16.d1.a1', '16.e1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344890
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.b1.a1', '16.u1.a1', '24.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5124, 6482, 5025, 3094, 4811, 7544, 4987, 2629], 'generators': [180, 48, 192, 32, 72], 'label': '384.1685.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344891
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '48.c1.a1', 'complements': ['48.j1.a1', '48.j1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.l1.a1', '4.n1.a1'], 'contains': ['16.d1.a1', '16.p1.a1', '24.q1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3579, 3316, 2180, 8020, 6586, 1207, 2594, 4378], 'generators': [193, 32, 84, 24, 48], 'label': '384.1685.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '192.291', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 54344892
    {'ambient': '384.1685', 'aut_centralizer_order': 48, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2319', 'aut_weyl_index': 48, 'centralizer': '8.b1.a1', 'complements': ['192.e1.b1', '192.e1.a1', '192.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '6.a1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1452, 686, 1815, 9808, 8328, 6850, 1280, 6781], 'generators': [6, 24, 192, 96, 48, 32, 12], 'label': '384.1685.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 54344893
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '48.c1.a1', 'complements': ['48.j1.a1', '48.j1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.l1.b1', '4.n1.b1'], 'contains': ['16.d1.a1', '16.p1.b1', '24.q1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3579, 3316, 1662, 7388, 6586, 1207, 2480, 4927], 'generators': [1, 32, 84, 24, 48], 'label': '384.1685.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '192.291', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 54344894
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '48.c1.a1', 'complements': ['48.j1.a1', '48.j1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.m1.a1', '4.o1.a1'], 'contains': ['16.e1.a1', '16.t1.a1', '24.v1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2950, 5501, 3290, 5216, 7820, 2096, 1984, 9426], 'generators': [289, 32, 276, 24, 48], 'label': '384.1685.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.d1.a1'], 'normal_contains': ['16.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '192.291', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 54344895
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '48.c1.a1', 'complements': ['48.j1.a1', '48.j1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.m1.b1', '4.o1.b1'], 'contains': ['16.e1.a1', '16.t1.b1', '24.v1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2950, 5501, 3422, 4096, 7820, 2096, 2137, 8628], 'generators': [97, 32, 276, 24, 48], 'label': '384.1685.8.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': ['4.d1.a1'], 'normal_contains': ['16.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '192.291', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 54344896
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '16.h1.a1', '16.k1.a1', '16.k1.b1', '16.k1.c1', '16.k1.d1', '24.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7950, -1, 8353, -1, 1998, -1, 7594, -1], 'generators': [1, 32, 96, 192, 48], 'label': '384.1685.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.f1.a1', 'projective_image': '96.110', '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': '12.4'}
  • id: 54344897
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.a1.a1', '16.g1.a1', '16.i1.a1', '16.j1.a1', '16.j1.a2', '24.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8945, -1, 9314, -1, 653, -1, 9472, -1], 'generators': [7, 32, 96, 48, 240], 'label': '384.1685.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '8.g1.a1', 'projective_image': '96.110', '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': '24.14'}
  • id: 54344898
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.c1.a1', '16.f1.a1', '16.h1.a1', '16.n1.a1', '16.n1.b1', '16.n1.c1', '16.n1.d1', '24.f1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7651, -1, 8018, -1, 2311, -1, 6478, -1], 'generators': [1, 32, 120, 192, 48], 'label': '384.1685.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.h1.a1', 'projective_image': '96.110', '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': '12.4'}
  • id: 54344899
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.h1.a1', '4.j1.a1'], 'contains': ['16.b1.a1', '16.f1.a1', '16.o1.a1', '16.p1.a1', '16.p1.b1', '24.g1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5896, -1, 4802, -1, 3127, -1, 6238, -1], 'generators': [1, 32, 192, 24, 48], 'label': '384.1685.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.i1.a1', 'projective_image': '96.110', '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': '24.6'}
  • id: 54344900
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.c1.a1', '16.g1.a1', '16.i1.a1', '24.h1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8188, -1, 8883, -1, 1259, -1, 9110, -1], 'generators': [7, 32, 120, 192, 48], 'label': '384.1685.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '8.j1.a1', 'projective_image': '96.110', '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': '24.14'}
  • id: 54344901
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.b1.a1', '16.g1.a1', '16.q1.a1', '16.r1.a1', '24.i1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6709, -1, 7389, -1, 4538, -1, 7926, -1], 'generators': [7, 32, 192, 24, 48], 'label': '384.1685.8.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.k1.a1', 'projective_image': '96.110', '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': '48.36'}
  • id: 54344902
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.a1', '4.j1.a1'], 'contains': ['16.b1.a1', '16.h1.a1', '16.s1.a1', '16.t1.a1', '16.t1.b1', '24.j1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5634, -1, 5481, -1, 3680, -1, 5872, -1], 'generators': [97, 32, 192, 24, 48], 'label': '384.1685.8.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.l1.a1', 'projective_image': '96.110', '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': '24.6'}
  • id: 54344903
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408119608', 'aut_weyl_index': 4, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.f1.a1', '4.n1.a1', '4.n1.b1', '6.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2569, 2835, 1381, 7616, 7815, 2796, 1743, 5607], 'generators': [1, 48, 24, 6, 32, 192, 84], 'label': '384.1685.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '96.110'}
  • id: 54344904
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.b1.a1', '16.i1.a1', '24.k1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6485, -1, 7546, -1, 3917, -1, 8253, -1], 'generators': [103, 32, 24, 240, 48], 'label': '384.1685.8.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.m1.a1', 'projective_image': '96.110', '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': '48.36'}
  • id: 54344905
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.k1.b1', '16.k1.c1', '16.l1.a1', '16.n1.a1', '16.n1.d1', '16.o1.a1', '16.s1.a1', '24.l1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7172, -1, 7030, -1, 2586, -1, 6790, -1], 'generators': [1, 32, 120, 216, 48], 'label': '384.1685.8.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.n1.a1', 'projective_image': '192.291', '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': '12.4'}
  • id: 54344906
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.k1.a1', '16.k1.d1', '16.l1.a1', '16.n1.b1', '16.n1.c1', '16.o1.a1', '16.s1.a1', '24.l1.a2'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7172, -1, 6899, -1, 2586, -1, 6943, -1], 'generators': [1, 32, 96, 216, 48], 'label': '384.1685.8.n1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.n1.a2', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1.a2', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344907
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.l1.a1', '4.m1.a1'], 'contains': ['16.k1.a1', '16.m1.a1', '16.n1.a1', '16.p1.a1', '16.t1.a1', '24.m1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5408, -1, 5937, -1, 4303, -1, 5688, -1], 'generators': [193, 32, 96, 24, 48], 'label': '384.1685.8.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.o1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344908
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.l1.a1', '4.m1.b1'], 'contains': ['16.k1.b1', '16.m1.a1', '16.n1.b1', '16.p1.a1', '16.t1.b1', '24.m1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5408, -1, 6069, -1, 4303, -1, 6056, -1], 'generators': [277, 32, 96, 24, 48], 'label': '384.1685.8.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.o1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344909
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.l1.b1', '4.m1.a1'], 'contains': ['16.k1.c1', '16.m1.a1', '16.n1.c1', '16.p1.b1', '16.t1.a1', '24.m1.c1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5408, -1, 4645, -1, 4303, -1, 5383, -1], 'generators': [85, 32, 96, 24, 48], 'label': '384.1685.8.o1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.o1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.c1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344910
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.l1.b1', '4.m1.b1'], 'contains': ['16.k1.d1', '16.m1.a1', '16.n1.d1', '16.p1.b1', '16.t1.b1', '24.m1.d1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5408, -1, 5807, -1, 4303, -1, 5536, -1], 'generators': [1, 32, 96, 24, 48], 'label': '384.1685.8.o1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.o1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.d1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344911
    {'ambient': '384.1685', 'aut_centralizer_order': 192, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.l1.a1', '4.l1.b1'], 'contains': ['16.d1.a1', '16.m1.a1', '16.u1.a1', '24.n1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4365, -1, 3891, -1, 5754, -1, 4026, -1], 'generators': [96, 48, 84, 32, 72], 'label': '384.1685.8.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.p1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344912
    {'ambient': '384.1685', 'aut_centralizer_order': 192, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.m1.a1', '4.m1.b1'], 'contains': ['16.e1.a1', '16.m1.a1', '16.u1.a1', '24.o1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4107, -1, 4215, -1, 6025, -1, 3664, -1], 'generators': [96, 48, 276, 32, 72], 'label': '384.1685.8.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.q1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344913
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '4.l1.a1', '4.m1.a1'], 'contains': ['16.p1.a1', '16.t1.a1', '16.u1.a1', '24.p1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4684, -1, 4468, -1, 5543, -1, 4707, -1], 'generators': [277, 32, 180, 72, 48], 'label': '384.1685.8.r1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.r1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344932
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '6.c1.a1'], 'contains': ['24.c1.a1', '24.i1.a1', '24.k1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5087, -1, 5054, -1, 5390, -1, 7761, -1], 'generators': [7, 180], 'label': '384.1685.12.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.h1.a1', 'projective_image': '96.110', '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': '16.11'}
  • id: 54344914
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408119608', 'aut_weyl_index': 4, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '4.g1.a1', '6.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2040, 1848, 1999, 8624, 8050, 3692, 2187, 4730], 'generators': [1, 48, 24, 102, 32, 36, 264], 'label': '384.1685.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.e1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '96.110'}
  • id: 54344915
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '4.l1.a1', '4.m1.b1'], 'contains': ['16.p1.a1', '16.t1.b1', '16.u1.a1', '24.p1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4684, -1, 5165, -1, 5543, -1, 4824, -1], 'generators': [193, 32, 180, 72, 48], 'label': '384.1685.8.r1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.r1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344916
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '4.l1.b1', '4.m1.a1'], 'contains': ['16.p1.b1', '16.t1.a1', '16.u1.a1', '24.p1.c1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4684, -1, 4031, -1, 5543, -1, 4473, -1], 'generators': [1, 32, 180, 72, 48], 'label': '384.1685.8.r1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.r1.c1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1.c1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344917
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '4.l1.b1', '4.m1.b1'], 'contains': ['16.p1.b1', '16.t1.b1', '16.u1.a1', '24.p1.d1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4684, -1, 4355, -1, 5543, -1, 4590, -1], 'generators': [85, 32, 180, 72, 48], 'label': '384.1685.8.r1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.r1.d1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1.d1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 54344918
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.m1.a1', '4.m1.b1'], 'contains': ['16.e1.a1', '16.p1.a1', '16.p1.b1', '24.r1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3720, -1, 3621, -1, 6734, -1, 3502, -1], 'generators': [1, 32, 276, 24, 48], 'label': '384.1685.8.s1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.s1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344919
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.n1.a1', '4.n1.b1'], 'contains': ['16.d1.a1', '16.r1.a1', '24.s1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3377, -1, 1563, -1, 8419, -1, 1463, -1], 'generators': [7, 32, 84, 24, 48], 'label': '384.1685.8.t1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.t1.a1', 'projective_image': '192.291', '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': '48.7'}
  • id: 54344920
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.o1.a1', '4.o1.b1'], 'contains': ['16.e1.a1', '16.r1.a1', '24.t1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3237, -1, 2844, -1, 8942, -1, 1058, -1], 'generators': [7, 32, 276, 24, 48], 'label': '384.1685.8.u1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.u1.a1', 'projective_image': '192.291', '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': '48.7'}
  • id: 54344921
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1331', 'aut_weyl_index': 32, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.l1.a1', '4.l1.b1'], 'contains': ['16.d1.a1', '16.t1.a1', '16.t1.b1', '24.u1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3884, -1, 3736, -1, 6413, -1, 3845, -1], 'generators': [97, 32, 84, 24, 48], 'label': '384.1685.8.v1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.v1.a1', 'projective_image': '192.291', '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': '24.6'}
  • id: 54344922
    {'ambient': '384.1685', 'aut_centralizer_order': 192, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.n1.a1', '4.n1.b1'], 'contains': ['16.d1.a1', '24.w1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2226, -1, 986, -1, 8794, -1, 1173, -1], 'generators': [6, 48, 32, 12, 24], 'label': '384.1685.8.w1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.w1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344923
    {'ambient': '384.1685', 'aut_centralizer_order': 192, 'aut_label': '8.x1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '4.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.o1.a1', '4.o1.b1'], 'contains': ['16.e1.a1', '24.x1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1427, -1, 2558, -1, 9779, -1, 297, -1], 'generators': [102, 48, 32, 204, 24], 'label': '384.1685.8.x1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.x1.a1', 'projective_image': '192.291', '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': '2.1'}
  • id: 54344924
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '4.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.n1.a1', '24.o1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2148, 3469, 2404, 5962, 6938, 6535, 2752, 3618], 'generators': [96, 84, 192], 'label': '384.1685.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344925
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408119608', 'aut_weyl_index': 4, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.e1.b1', '192.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.d1.a1', '4.g1.a1', '4.o1.a1', '4.o1.b1', '6.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2286, 4081, 2559, 6345, 9166, 4675, 773, 9308], 'generators': [97, 48, 24, 102, 32, 192, 228], 'label': '384.1685.2.f1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.d1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': '96.110'}
  • id: 54344926
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1', '6.d1.a1', '6.g1.a1'], 'contains': ['24.b1.a1', '24.w1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [372, 2084, 277, 8424, 9299, 4499, 668, 7720], 'generators': [6, 192], 'label': '384.1685.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.f1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344927
    {'ambient': '384.1685', 'aut_centralizer_order': 384, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384, 'centralizer': '4.g1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.a1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.x1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [115, 950, 499, 9581, 9570, 5527, 459, 6713], 'generators': [102, 192], 'label': '384.1685.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.g1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344928
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.f1.a1', '24.g1.a1', '24.j1.a1', '24.l1.a1', '24.l1.a2', '24.m1.a1', '24.m1.b1', '24.m1.c1', '24.m1.d1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4102, -1, 3864, -1, 3402, -1, 5199, -1], 'generators': [1, 96, 192, 24], 'label': '384.1685.12.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.d1.a1', 'projective_image': '96.110', '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': '8.3'}
  • id: 54344929
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.e1.a1', '24.h1.a1', '24.i1.a1', '24.k1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5971, -1, 6174, -1, 4110, -1, 8104, -1], 'generators': [7, 96, 24], 'label': '384.1685.12.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.e1.a1', 'projective_image': '96.110', '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': '16.11'}
  • id: 54344930
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '6.b1.a1'], 'contains': ['24.c1.a1', '24.g1.a1', '24.j1.a1', '24.p1.a1', '24.p1.b1', '24.p1.c1', '24.p1.d1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3796, -1, 2836, -1, 5130, -1, 4273, -1], 'generators': [1, 180, 192], 'label': '384.1685.12.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.f1.a1', 'projective_image': '96.110', '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': '8.3'}
  • id: 54344931
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.b1.a1', '24.g1.a1', '24.q1.a1', '24.q1.b1', '24.r1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1230, -1, 749, -1, 7607, -1, 1820, -1], 'generators': [1, 84, 192], 'label': '384.1685.12.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '96.110', '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': '16.7'}
  • id: 54344933
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.c1.a1', '6.d1.a1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.i1.a1', '24.s1.a1', '24.t1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1569, -1, 1736, -1, 8607, -1, 1318, -1], 'generators': [7, 84, 192], 'label': '384.1685.12.i1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.i1.a1', 'projective_image': '96.110', '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': '32.39'}
  • id: 54344934
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.b1.a1', '24.j1.a1', '24.u1.a1', '24.v1.a1', '24.v1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [992, -1, 1275, -1, 8055, -1, 1626, -1], 'generators': [97, 84, 192], 'label': '384.1685.12.j1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.j1.a1', 'projective_image': '96.110', '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': '16.7'}
  • id: 54344935
    {'ambient': '384.1685', 'aut_centralizer_order': 32, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.c1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.b1.a1', '24.k1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [789, -1, 876, -1, 8268, -1, 2913, -1], 'generators': [103, 84], 'label': '384.1685.12.k1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.k1.a1', 'projective_image': '96.110', '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': '32.39'}
  • id: 54344936
    {'ambient': '384.1685', 'aut_centralizer_order': 4, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408119608', 'aut_weyl_index': 4, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.e1.b1', '192.e1.a1', '192.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.e1.a1', '4.f1.a1', '6.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1784, 5467, 1584, 4933, 7509, 1636, 1979, 8079], 'generators': [97, 48, 24, 6, 32, 276, 216], 'label': '384.1685.2.g1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.e1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': '96.110'}
  • id: 54344937
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '6.b1.a1'], 'contains': ['24.m1.a1', '24.m1.b1', '24.n1.a1', '24.p1.a1', '24.p1.b1', '24.q1.a1', '24.u1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2467, -1, 2266, -1, 6237, -1, 3386, -1], 'generators': [193, 96, 84], 'label': '384.1685.12.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.l1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344938
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.b1', '6.b1.a1'], 'contains': ['24.m1.c1', '24.m1.d1', '24.n1.a1', '24.p1.c1', '24.p1.d1', '24.q1.b1', '24.u1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2467, -1, 2063, -1, 6237, -1, 3149, -1], 'generators': [1, 96, 84], 'label': '384.1685.12.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.l1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344939
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1', '6.b1.a1'], 'contains': ['24.m1.a1', '24.m1.c1', '24.o1.a1', '24.p1.a1', '24.p1.c1', '24.r1.a1', '24.v1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1951, -1, 2165, -1, 7145, -1, 3031, -1], 'generators': [193, 96, 276], 'label': '384.1685.12.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.m1.a1', 'projective_image': '192.291', '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': '8.3'}
  • id: 54344940
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.254', 'aut_weyl_index': 96, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.b1', '6.b1.a1'], 'contains': ['24.m1.b1', '24.m1.d1', '24.o1.a1', '24.p1.b1', '24.p1.d1', '24.r1.a1', '24.v1.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1951, -1, 3009, -1, 7145, -1, 3267, -1], 'generators': [1, 96, 276], 'label': '384.1685.12.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.m1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 54344941
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.123', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1', '6.d1.a1'], 'contains': ['24.q1.a1', '24.s1.a1', '24.w1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1747, -1, 137, -1, 9090, -1, 944, -1], 'generators': [193, 6], 'label': '384.1685.12.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.n1.a1', 'projective_image': '192.291', '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': '16.7'}
  • id: 54344942
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.123', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.b1', '6.d1.a1'], 'contains': ['24.q1.b1', '24.s1.a1', '24.w1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1747, -1, 40, -1, 9090, -1, 830, -1], 'generators': [1, 6], 'label': '384.1685.12.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.n1.b1', 'projective_image': '192.291', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 54344943
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.123', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1', '6.f1.a1'], 'contains': ['24.t1.a1', '24.v1.a1', '24.x1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [639, -1, 1132, -1, 9934, -1, 51, -1], 'generators': [289, 102], 'label': '384.1685.12.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '12.o1.a1', 'projective_image': '192.291', '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': '16.7'}
  • id: 54344944
    {'ambient': '384.1685', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.123', 'aut_weyl_index': 96, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.b1', '6.f1.a1'], 'contains': ['24.t1.a1', '24.v1.b1', '24.x1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [639, -1, 1023, -1, 9934, -1, 177, -1], 'generators': [97, 102], 'label': '384.1685.12.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '12.o1.b1', 'projective_image': '192.291', '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': '16.7'}
  • id: 54344945
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '32.d1.a1', '32.g1.a1', '32.k1.a1', '48.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8792, 7693, 9050, 2051, 774, 9561, 8936, 1437], 'generators': [96, 192, 48, 32], 'label': '384.1685.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344946
    {'ambient': '384.1685', 'aut_centralizer_order': 1536, 'aut_label': '16.b1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.i1.a1', '8.k1.a1', '8.l1.a1', '8.m1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6298, 6308, 6406, 3464, 4150, 6535, 6429, 3395], 'generators': [192, 24, 32, 48], 'label': '384.1685.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '96.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344947
    {'ambient': '384.1685', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1024.dlh', 'aut_weyl_index': 6, 'centralizer': '96.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.e1.a1', '6.f1.a1', '6.g1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1035, -1, 986, -1, 8648, -1, 1528, -1], 'generators': [1, 6, 96], 'label': '384.1685.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '96.110', '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': '32.39'}
  • id: 54344948
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '16.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.h1.a1', '8.j1.a1'], 'contains': ['32.a1.a1', '32.n1.a1', '48.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8029, 8807, 8868, 915, 1749, 8553, 8617, 448], 'generators': [120, 192, 32, 48], 'label': '384.1685.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '96.110', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 54344949
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '16.d1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '8.p1.a1', '8.t1.a1', '8.v1.a1', '8.w1.a1'], 'contains': ['32.c1.a1', '48.d1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3350, 4186, 1410, 7282, 7205, 3471, 2140, 5014], 'generators': [84, 32, 72, 48], 'label': '384.1685.16.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1', '8.d1.a1', '8.d1.b1'], 'normal_contains': ['32.c1.a1', '48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344950
    {'ambient': '384.1685', 'aut_centralizer_order': 768, 'aut_label': '16.e1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.e1.a1', '8.e1.b1', '8.q1.a1', '8.s1.a1', '8.u1.a1', '8.x1.a1'], 'contains': ['32.c1.a1', '48.e1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3151, 4819, 3661, 4726, 7740, 4026, 2027, 6398], 'generators': [276, 32, 72, 48], 'label': '384.1685.16.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.b1.a1', '8.e1.a1', '8.e1.b1'], 'normal_contains': ['32.c1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '192.291', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 54344951
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.h1.a1', '8.i1.a1'], 'contains': ['32.a1.a1', '32.e1.a1', '32.h1.a1', '32.l1.a1', '32.l1.b1', '48.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8544, -1, 8366, -1, 1483, -1, 8293, -1], 'generators': [1, 192, 48, 32], 'label': '384.1685.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.f1.a1', 'projective_image': '96.110', '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': '12.4'}
  • id: 54344952
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.j1.a1', '8.k1.a1'], 'contains': ['32.a1.a1', '32.f1.a1', '32.i1.a1', '32.m1.a1', '48.g1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9040, -1, 9492, -1, 1035, -1, 9283, -1], 'generators': [7, 192, 48, 32], 'label': '384.1685.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.g1.a1', 'projective_image': '96.110', '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': '24.14'}
  • id: 54344953
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.h1.a1', '8.l1.a1'], 'contains': ['32.a1.a1', '32.o1.a1', '32.o1.b1', '48.h1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7768, -1, 8545, -1, 2250, -1, 7110, -1], 'generators': [97, 192, 48, 32], 'label': '384.1685.16.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.h1.a1', 'projective_image': '96.110', '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': '12.4'}
  • id: 54344954
    {'ambient': '384.1685', 'aut_centralizer_order': 64, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.j1.a1', '8.m1.a1'], 'contains': ['32.a1.a1', '32.j1.a1', '48.i1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9296, -1, 9314, -1, 277, -1, 9667, -1], 'generators': [103, 48, 240, 32], 'label': '384.1685.16.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.i1.a1', 'projective_image': '96.110', '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': '24.14'}
  • id: 54344955
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1'], 'contains': ['32.g1.a1', '32.i1.a1', '32.j1.a1', '48.j1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9633, -1, 9660, -1, 61, -1, 9952, -1], 'generators': [7, 96, 240, 32], 'label': '384.1685.16.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1.a1', 'old_label': '16.j1.a1', 'projective_image': '192.467', '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': '12.4'}
  • id: 54344956
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1'], 'contains': ['32.g1.a1', '32.i1.a1', '32.j1.a1', '48.j1.a2'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [9633, -1, 9911, -1, 61, -1, 9834, -1], 'generators': [7, 144, 240, 32], 'label': '384.1685.16.j1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.g1.a1', 'old_label': '16.j1.a2', 'projective_image': '192.467', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a2', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 54344957
    {'ambient': '384.1685', 'aut_centralizer_order': 16, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '48.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.n1.a2', '8.o1.a1'], 'contains': ['32.k1.a1', '32.l1.a1', '32.o1.a1', '48.k1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7562, -1, 7232, -1, 2727, -1, 7838, -1], 'generators': [193, 96, 48, 32], 'label': '384.1685.16.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.k1.a1', 'projective_image': '192.291', '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': '12.4'}